Constructing a Cumulative Frequency Distribution and an OgiveIn Exercises 39 and 40

Use the data set listed and technology to create frequency histograms with 5, 10, and 20 classes. Which graph displays the data best? Explain. 2 7 3 2 11 3 15 8 4 9 10 13 9 7 11 10 1 2 12 5 6 4 2 9 15

Problem 1E What are some benefits of representing data sets using frequency distributions? What are some benefits of using graphs of frequency distributions?

Problem 2E Why should the number of classes in a frequency distribution be between 5 and 20?

Problem 3E What is the difference between class limits and class boundaries?

Problem 4E What is the difference between relative frequency and cumulative frequency?

Problem 6E What is the difference between a frequency polygon and an ogive?

Problem 7E True or False? In Exercise, determine whether the statement is true or false. If it is false, rewrite it as a true statement. In a frequency distribution, the class width is the distance between the lower and upper limits of a class.

Problem 8E True or False? In Exercise, determine whether the statement is true or false. If it is false, rewrite it as a true statement. The midpoint of a class is the sum of its lower and upper limits divided by two.

Problem 9E True or False? In Exercise, determine whether the statement is true or false. If it is false, rewrite it as a true statement. An ogive is a graph that displays relative frequencies.

Problem 10E True or False? In Exercise, determine whether the statement is true or false. If it is false, rewrite it as a true statement. Class boundaries ensure that consecutive bars of a histogram touch.

Problem 12E In Exercise, use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits. min = 12, max = 88, 6 classes

Problem 13E In Exercise, use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits. min = 17, max = 135, 8 classes

Problem 14E In Exercise, use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits. min = 54, max = 247, 10 classes

Use the frequency distribution in Exercise 15 to construct an expanded frequency distribution, as shown in Example 2.

Use the frequency distribution in Exercise 16 to construct an expanded frequency distribution, as shown in Example 2.

Problem 11E In Exercise, use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits. min = 9, max = 64, 7 classes

Problem 15E Reading a Frequency Distribution In Exercise, use the frequency distribution to find the (a) class width, (b) class midpoints, and (c) class boundaries. Cleveland, OH High Temperatures (°F) Class Frequency, f 20 – 30 31 – 41 42 – 52 53 – 63 64 – 74 75 – 85 86 – 96 19 43 68 69 74 68 24

Graphical Analysis In Exercises 19 and 20, use the frequency histogram to (a) determine the number of classes. (b) estimate the frequency of the class with the least frequency. (c) estimate the frequency of the class with the greatest frequency. (d) determine the class width. Employee Salaries

Graphical Analysis In Exercises 19 and 20, use the frequency histogram to (a) determine the number of classes. (b) estimate the frequency of the class with the least frequency. (c) estimate the frequency of the class with the greatest frequency. (d) determine the class width. Roller Coaster Heights

Graphical Analysis In Exercises 21 and 22, use the ogive to approximate (a) the number in the sample. (b) the location of the greatest increase in frequency. Male Gorillas

Problem 16E Reading a Frequency Distribution In Exercise 16, use the frequency distribution to find the (a) class width, (b) class midpoints, and (c) class boundaries. Travel Time to Work (in minutes) Class Frequency, f 0 – 9 10 – 19 20 – 29 30 – 39 40 – 49 50 – 59 60 – 69 188 372 264 205 83 76 32

Graphical Analysis In Exercises 21 and 22, use the ogive to approximate (a) the number in the sample. (b) the location of the greatest increase in frequency. Adult Females, Ages 20–29

Use the ogive in Exercise 22 to approximate (a) the cumulative frequency for a height of 72 inches. (b) the height for which the cumulative frequency is 25. (c) the number of adult females that are between 62 and 66 inches tall. (d) the number of adult females that are taller than 70 inches.

Use the ogive in Exercise 21 to approximate (a) the cumulative frequency for a weight of 345.5 pounds. (b) the weight for which the cumulative frequency is 35. (c) the number of gorillas that weigh between 325.5 pounds and 365.5 pounds. (d) the number of gorillas that weigh more than 405.5 pounds.

Graphical Analysis In Exercises 25 and 26, use the relative frequency histogram to (a) identify the class with the greatest, and the class with the least, relative frequency. (b) approximate the greatest and least relative frequencies. (c) approximate the relative frequency of the second class. Female Femur Lengths

Graphical Analysis In Exercises 27 and 28, use the frequency polygon to identify the class with the greatest, and the class with the least, frequency. Shoe Sizes for 50 Females

Graphical Analysis In Exercises 27 and 28, use the frequency polygon to identify the class with the greatest, and the class with the least, frequency. Raw MCAT Scores for 60 Applicants

Graphical Analysis In Exercises 25 and 26, use the relative frequency histogram to (a) identify the class with the greatest, and the class with the least, relative frequency. (b) approximate the greatest and least relative frequencies. (c) approximate the relative frequency of the second class. Emergency Response Times

Problem 29E Constructing a Frequency Distribution In Exercise, construct a frequency distribution for the data set using the indicated number of classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency? Political Blog Reading Times Number of classes: 5 Data set: Times (in minutes) spent reading a political blog in a day 7 39 13 9 25 8 22 0 2 18 2 30 7 35 12 15 8 6 5 29 0 11 39 16 15

Problem 31E Constructing a Frequency Distribution and a Frequency Histogram Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Sales Number of classes: 6 Data set: July sales (in dollars) for all sales representatives at a company 2114 2468 7119 1876 4105 3183 1932 1355 4278 1030 2000 1077 5835 1512 1697 2478 3981 1643 1858 1500 4608 1000

Problem 30E Constructing a Frequency Distribution Construct a frequency distribution for the data set using the indicated number of classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency? Book Spending Number of classes: 6 Data set: Amounts (in dollars) spent on books for a semester 91 472 279 249 530 376 188 341 266 199 142 273 189 130 489 266 248 101 375 486 190 398 188 269 43 30 127 354 84

Problem 33E Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Number of classes: 8 Data set: Reaction times (in milliseconds) of 30 adult females to an auditory stimulus 507 389 305 291 336 310 514 442 373 428 387 454 323 441 388 426 411 382 320 450 309 416 359 388 307 337 469 351 422 413

Constructing a Frequency Distribution and a Frequency Histogram In Exercises 31–34, construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Pepper Pungencies Number of classes: 5 Data set: Pungencies (in thousands of Scoville units) of 24 tabasco peppers

Problem 34E Constructing a Frequency Distribution and a Frequency Histogram In Exercise, construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Finishing Times Number of classes: 8 Data set: Finishing times (in seconds) of all male participants ages 25 to 29 in a 5K race

Problem 37E Constructing a Frequency Distribution and a Relative Frequency Histogram In Exercise, construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the greatest relative frequency and which has the least relative frequency? Mariana Fruit Bats Data set: Weights (in grams) of 25 male Mariana fruit bats 466 469 501 516 520 453 445 417 422 463 526 419 525 497 489 441 547 438 489 481 495 545 538 518 479

Problem 35E Constructing a Frequency Distribution and a Relative Frequency Histogram In Exercise, construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the greatest relative frequency and which has the least relative frequency? Taste Test Data set: Ratings from 1 (lowest) to 10 (highest) provided by 24 people after taste-testing a new soft drink flavor 5 7 4 5 7 8 10 6 9 5 7 6 8 2 9 7 8 1 3 10 8 8 7 9

Problem 36E Constructing a Frequency Distribution and a Relative Frequency Histogram In Exercise, construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the greatest relative frequency and which has the least relative frequency? Years of Service Data set: Years of service of 26 New York state troopers 12 7 9 8 9 8 12 10 9 10 6 8 13 12 10 11 7 14 12 9 8 10 9 11 13 8

Problem 38E Constructing a Frequency Distribution and a Relative Frequency Histogram In Exercise, construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the greatest relative frequency and which has the least relative frequency? Triglyceride Levels Data set: Triglyceride levels (in milligrams per deciliter of blood) of 26 patients 209 140 155 170 265 138 180 295 250 320 270 225 215 390 420 462 150 200 400 295 240 200 190 145 160 175

Problem 40E Constructing a Cumulative Frequency Distribution and an Ogive In Exercise, construct a cumulative frequency distribution and an ogive for the data set using six classes. Then describe the location of the greatest increase in frequency. Saturated Fat Intakes Data set: Daily saturated fat intakes (in grams) of 20 people

Problem 39E Constructing a Cumulative Frequency Distribution and an Ogive In Exercise, construct a cumulative frequency distribution and an ogive for the data set using six classes. Then describe the location of the greatest increase in frequency. Retirement Ages Data set: Retirement ages of 24 doctors 70 54 55 71 57 58 63 65 60 66 57 62 63 60 63 60 66 60 67 69 69 52 61 73

Problem 41E Constructing a Frequency Distribution and a Frequency Polygon In Exercise, construct a frequency distribution and a frequency polygon for the data set using the indicated number of classes. Describe any patterns. Children of the Presidents Numbers of classes: 6 Data set: Numbers of children of the U.S. presidents (Source: presidentschildren.com) 0 5 6 0 3 4 0 4 10 15 0 6 2 3 0 4 5 4 8 7 3 5 3 2 6 3 3 1 2 2 6 1 2 3 2 2 4 4 4 6 1 2 2

Problem 43E In Exercise, use the data set and the indicated number of classes to construct (a) an expanded frequency distribution, (b) a frequency histogram, (b) a frequency polygon, (d) a relative frequency histogram, and (e) an ogive. Pulse Rates Number of classes: 6 Data set: Pulse rates of all students in a class 68 105 95 80 90 100 75 70 84 98 102 70 65 88 90 75 78 94 110 120 95 80 76 108

Problem 42E Constructing a Frequency Distribution and a Frequency Polygon In Exercise, construct a frequency distribution and a frequency polygon for the data set using the indicated number of classes. Describe any patterns. Declaration of Independence Number of classes: 5 Data set: Ages of the signers of the Declaration of Independence (Source: The U.S. National Archives&Records Administration) 40 53 46 39 38 35 50 37 48 41 70 32 41 52 40 50 65 46 30 34 69 38 45 33 41 44 63 60 26 42 34 50 42 52 37 35 45 36 42 47 46 30 26 55 57 45 33 60 62 35 46 45 33 53 49 50

Problem 44E In Exercise, use the data set and the indicated number of classes to construct (a) an expanded frequency distribution, (b) a frequency histogram, (b) a frequency polygon, (d) a relative frequency histogram, and (e) an ogive. Hospitals Number of classes: 8 Data set: Number of hospitals in each state (Source: American Hospital Directory) 12 100 52 73 354 52 34 8 212 116 13 40 17 142 99 61 76 114 81 50 22 109 56 88 72 16 103 11 28 14 75 37 28 203 156 103 36 176 12 65 27 116 377 35 89 7 62 75 39 13

Problem 45EC What Would You Do? You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don’t want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in hundreds of dollars) for 30 days. 72 84 61 76 104 76 86 92 80 88 98 76 97 82 84 67 70 81 82 89 74 73 86 81 85 78 82 80 91 83 (a) Construct a relative frequency histogram for the data. Use 8 classes. ________________ (b) If you put $9000 in the ATM each day, what percent of the days in a month should you expect to run out of cash? Explain. ________________ (c) If you are willing to run out of cash on 10% of the days, how much cash should you put in the ATM each day? Explain.

Problem 46EC What Would You Do? You work in the admissions department for a college and are asked to recommend the minimum SAT scores that the college will accept for a position as a full-time student. Here are the SAT scores of 50 applicants. 1760 1500 1370 1310 1600 1940 1380 2210 1620 1770 1150 1350 1680 1610 2050 1740 1460 1390 1860 1910 1880 1990 1520 1510 2120 1700 1810 1860 1440 1230 970 1510 1790 2250 2100 1900 1970 1580 1420 1730 2170 1930 1960 1650 2000 2120 1260 1560 1630 1620 (a) Construct a relative frequency histogram for the data. Use 10 classes. ________________ (b) If you set the minimum score at 1610, what percent of the applicants will meet this requirement? Explain. ________________ (c) If you want to accept the top 88% of the applicants, what should the minimum score be? Explain.

Problem 5E After constructing an expanded frequency distribution, what should the sum of the relative frequencies be? Explain.

What are some benefits of representing data sets using frequency distributions? What are some benefits of using graphs of frequency distributions?

Why should the number of classes in a frequency distribution be between 5 and 20?

What is the difference between class limits and class boundaries?

What is the difference between relative frequency and cumulative frequency?

After constructing an expanded frequency distribution, what should the sum of the relative frequencies be? Explain.

What is the difference between a frequency polygon and an ogive?

True or False? In Exercises 710, determine whether the statement is true or false. If it is false, rewrite it as a true statement In a frequency distribution, the class width is the distance between the lower and upper limits of a class.

True or False? In Exercises 710, determine whether the statement is true or false. If it is false, rewrite it as a true statement The midpoint of a class is the sum of its lower and upper limits divided by two.

True or False? In Exercises 710, determine whether the statement is true or false. If it is false, rewrite it as a true statement An ogive is a graph that displays relative frequencies.

True or False? In Exercises 710, determine whether the statement is true or false. If it is false, rewrite it as a true statement Class boundaries ensure that consecutive bars of a histogram touch.

In Exercises 1114, use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits.min = 9, max = 64, 7 classes

In Exercises 1114, use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits.min = 12, max = 88, 6 classes

In Exercises 1114, use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits.min = 17, max = 135, 8 classes

In Exercises 1114, use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the upper class limits.min = 54, max = 247, 10 classes

Reading a Frequency Distribution In Exercises 15 and 16, use the frequency distribution to find the (a) class width, (b) class midpoints, and (c) class boundaries. Cleveland, OH High Temperatures 1F2

Reading a Frequency Distribution In Exercises 15 and 16, use the frequency distribution to find the (a) class width, (b) class midpoints, and (c) class boundaries Travel Time to Work (in minutes)

Use the frequency distribution in Exercise 15 to construct an expanded frequency distribution, as shown in Example 2.

Use the frequency distribution in Exercise 16 to construct an expanded frequency distribution, as shown in Example 2.

Graphical Analysis In Exercises 19 and 20, use the frequency histogram to (a) determine the number of classes. (b) estimate the frequency of the class with the least frequency. (c) estimate the frequency of the class with the greatest frequency. (d) determine the class width. Employee Salaries

Graphical Analysis In Exercises 19 and 20, use the frequency histogram to (a) determine the number of classes. (b) estimate the frequency of the class with the least frequency. (c) estimate the frequency of the class with the greatest frequency. (d) determine the class width.Roller Coaster Heights

Graphical Analysis In Exercises 21 and 22, use the ogive to approximate (a) the number in the sample. (b) the location of the greatest increase in frequenc Male Gorillas

Graphical Analysis In Exercises 21 and 22, use the ogive to approximate (a) the number in the sample. (b) the location of the greatest increase in frequenc Adult Females, Ages 2029

Use the ogive in Exercise 21 to approximate (a) the cumulative frequency for a weight of 345.5 pounds. (b) the weight for which the cumulative frequency is 35. (c) the number of gorillas that weigh between 325.5 pounds and 365.5 pounds. (d) the number of gorillas that weigh more than 405.5 pounds

Use the ogive in Exercise 22 to approximate (a) the cumulative frequency for a height of 72 inches. (b) the height for which the cumulative frequency is 25. (c) the number of adult females that are between 62 and 66 inches tall. (d) the number of adult females that are taller than 70 inches.

Graphical Analysis In Exercises 25 and 26, use the relative frequency histogram to (a) identify the class with the greatest, and the class with the least, relative frequency. (b) approximate the greatest and least relative frequencies. (c) approximate the relative frequency of the second class. Female Femur Lengths

Graphical Analysis In Exercises 25 and 26, use the relative frequency histogram to (a) identify the class with the greatest, and the class with the least, relative frequency. (b) approximate the greatest and least relative frequencies. (c) approximate the relative frequency of the second class.Emergency Response Times

Graphical Analysis In Exercises 27 and 28, use the frequency polygon to identify the class with the greatest, and the class with the least, frequency.Raw MCAT Scores for 60 Applicants

Graphical Analysis In Exercises 27 and 28, use the frequency polygon to identify the class with the greatest, and the class with the least, frequency.Shoe Sizes for 50 Females

Constructing a Frequency Distribution In Exercises 29 and 30, construct a frequency distribution for the data set using the indicated number of classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency?Political Blog Reading Times Number of classes: 5 Data set: Times (in minutes) spent reading a political blog in a day 7 39 13 9 25 8 22 0 2 18 2 30 7 35 12 15 8 6 5 29 0 11 39 16 15

Constructing a Frequency Distribution In Exercises 29 and 30, construct a frequency distribution for the data set using the indicated number of classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency?Book Spending Number of classes: 6 Data set: Amounts (in dollars) spent on books for a semester 91 472 279 249 530 376 188 341 266 199 142 273 189 130 489 266 248 101 375 486 190 398 188 269 43 30 127 354 84

Constructing a Frequency Distribution and a Frequency Histogram In Exercises 3134, construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns.Sales Number of classes: 6 Data set: July sales (in dollars) for all sales representatives at a company 2114 2468 7119 1876 4105 3183 1932 1355 4278 1030 2000 1077 5835 1512 1697 2478 3981 1643 1858 1500 4608 1000

Constructing a Frequency Distribution and a Frequency Histogram In Exercises 3134, construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns.Pepper Pungencies Number of classes: 5 Data set: Pungencies (in thousands of Scoville units) of 24 tabasco peppers 35 51 44 42 37 38 36 39 44 43 40 40 32 39 41 38 42 39 40 46 37 35 41 39

Constructing a Frequency Distribution and a Frequency Histogram In Exercises 3134, construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns.Reaction Times Number of classes: 8 Data set: Reaction times (in milliseconds) of 30 adult females to an auditory stimulus 507 389 305 291 336 310 514 442 373 428 387 454 323 441 388 426 411 382 320 450 309 416 359 388 307 337 469 351 422 413

Constructing a Frequency Distribution and a Frequency Histogram In Exercises 3134, construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns.Finishing Times Number of classes: 8 Data set: Finishing times (in seconds) of all male participants ages 25 to 29 in a 5K race 1595 1472 1820 1580 1804 1635 1959 2020 1480 1250 2083 1522 1306 1572 1778 2296 1445 1716 1618 1824

Constructing a Frequency Distribution and a Relative Frequency Histogram In Exercises 3538, construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the greatest relative frequency and which has the least relative frequency?Taste Test Data set: Ratings from 1 (lowest) to 10 (highest) provided by 24 people after taste-testing a new soft drink flavor 5 7 4 5 7 8 10 6 9 5 7 6 8 2 9 7 8 1 3 10 8 8 7 9

Constructing a Frequency Distribution and a Relative Frequency Histogram In Exercises 3538, construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the greatest relative frequency and which has the least relative frequency?Years of Service Data set: Years of service of 26 New York state troopers 12 7 9 8 9 8 12 10 9 10 6 8 13 12 10 11 7 14 12 9 8 10 9 11 13 8

Constructing a Frequency Distribution and a Relative Frequency Histogram In Exercises 3538, construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the greatest relative frequency and which has the least relative frequency?Mariana Fruit Bats Data set: Weights (in grams) of 25 male Mariana fruit bats 466 469 501 516 520 453 445 417 422 463 526 419 525 497 489 441 547 438 489 481 495 545 538 518 479

Constructing a Frequency Distribution and a Relative Frequency Histogram In Exercises 3538, construct a frequency distribution and a relative frequency histogram for the data set using five classes. Which class has the greatest relative frequency and which has the least relative frequency?Triglyceride Levels Data set: Triglyceride levels (in milligrams per deciliter of blood) of 26 patients 209 140 155 170 265 138 180 295 250 320 270 225 215 390 420 462 150 200 400 295 240 200 190 145 160 175

Constructing a Cumulative Frequency Distribution and an Ogive In Exercises 39 and 40, construct a cumulative frequency distribution and an ogive for the data set using six classes. Then describe the location of the greatest increase in frequency.Retirement Ages Data set: Retirement ages of 24 doctors 70 54 55 71 57 58 63 65 60 66 57 62 63 60 63 60 66 60 67 69 69 52 61 73

Constructing a Cumulative Frequency Distribution and an Ogive In Exercises 39 and 40, construct a cumulative frequency distribution and an ogive for the data set using six classes. Then describe the location of the greatest increase in frequency.Saturated Fat Intakes Data set: Daily saturated fat intakes (in grams) of 20 people 38 32 34 39 40 54 32 17 29 33 57 40 25 36 33 24 42 16 31 33

Constructing a Frequency Distribution and a Frequency Polygon In Exercises 41 and 42, construct a frequency distribution and a frequency polygon for the data set using the indicated number of classes. Describe any patterns.Children of the Presidents Numbers of classes: 6 Data set: Numbers of children of the U.S. presidents (Source: presidentschildren.com) 0 5 6 0 3 4 0 4 10 15 0 6 2 3 0 4 5 4 8 7 3 5 3 2 6 3 3 1 2 2 6 1 2 3 2 2 4 4 4 6 1 2 2

Constructing a Frequency Distribution and a Frequency Polygon In Exercises 41 and 42, construct a frequency distribution and a frequency polygon for the data set using the indicated number of classes. Describe any patterns.Declaration of Independence Number of classes: 5 Data set: Ages of the signers of the Declaration of Independence (Source: The U.S. National Archives & Records Administration) 40 53 46 39 38 35 50 37 48 41 70 32 41 52 40 50 65 46 30 34 69 38 45 33 41 44 63 60 26 42 34 50 42 52 37 35 45 36 42 47 46 30 26 55 57 45 33 60 62 35 46 45 33 53 49 50

In Exercises 43 and 44, use the data set and the indicated number of classes to construct (a) an expanded frequency distribution, (b) a frequency histogram, (c) a frequency polygon, (d) a relative frequency histogram, and (e) an ogive. Pulse Rates Number of classes: 6 Data set: Pulse rates of all students in a class 68 105 95 80 90 100 75 70 84 98 102 70 65 88 90 75 78 94 110 120 95 80 76 108

In Exercises 43 and 44, use the data set and the indicated number of classes to construct (a) an expanded frequency distribution, (b) a frequency histogram, (c) a frequency polygon, (d) a relative frequency histogram, and (e) an ogive. Hospitals Number of classes: 8 Data set: Number of hospitals in each state (Source: American Hospital Directory) 12 100 52 73 354 52 34 8 212 116 13 40 17 142 99 61 76 114 81 50 22 109 56 88 72 16 103 11 28 14 75 37 28 203 156 103 36 176 12 65 27 116 377 35 89 7 62 75 39 13

What Would You Do? You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You dont want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in hundreds of dollars) for 30 days. 72 84 61 76 104 76 86 92 80 88 98 76 97 82 84 67 70 81 82 89 74 73 86 81 85 78 82 80 91 83 (a) Construct a relative frequency histogram for the data. Use 8 classes. (b) If you put $9000 in the ATM each day, what percent of the days in a month should you expect to run out of cash? Explain. (c) If you are willing to run out of cash on 10% of the days, how much cash should you put in the ATM each day? Explain.

What Would You Do? You work in the admissions department for a college and are asked to recommend the minimum SAT scores that the college will accept for a position as a full-time student. Here are the SAT scores of 50 applicants. 1760 1500 1370 1310 1600 1940 1380 2210 1620 1770 1150 1350 1680 1610 2050 1740 1460 1390 1860 1910 1880 1990 1520 1510 2120 1700 1810 1860 1440 1230 970 1510 1790 2250 2100 1900 1970 1580 1420 1730 2170 1930 1960 1650 2000 2120 1260 1560 1630 1620 (a) Construct a relative frequency histogram for the data. Use 10 classes. (b) If you set the minimum score at 1610, what percent of the applicants will meet this requirement? Explain. (c) If you want to accept the top 88% of the applicants, what should the minimum score be? Explain.

Writing Use the data set listed and technology to create frequency histograms with 5, 10, and 20 classes. Which graph displays the data best? Explain. 2 7 3 2 11 3 15 8 4 9 10 13 9 7 11 10 1 2 12 5 6 4 2 9 15