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# K 300 SPEA

IU

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This 0 page Class Notes was uploaded by Carlee McCullough on Sunday November 1, 2015. The Class Notes belongs to SPEA at Indiana University taught by Henry Wakhungu in Fall. Since its upload, it has received 246 views. For similar materials see /class/233405/spea-indiana-university in Environment at Indiana University.

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Date Created: 11/01/15

SPEA V506 CHAPTER 3 REVIEW EXERCISES DESCRIBING DATA NUMERICAL MEASURES Group Score Part I i n 4 Chapter 3 Select the correct answer and write the appropriate letter in the space provided The arithmetic mean is computed by a nding the value that occurs most often b nding the middle observation and dividing by 2 c summing the values and dividing by the number of values d electing the value in the middle of the data set To compute the arithmetic mean at least the a nominal level of measurement is required b ordinal level of measurement is required c interval level of measurement is required d ratio level of measurement is required The value that occurs most often in a set of data is called the a mean b median c geometric mean d mode What level of measurement is required to determine the mode a nominal b ordinal c interval d ratio For a symmetric distribution a the mean is larger than the median the mode is the largest value the mean is smaller than the median the mean median and the mode are equal 99 Which of the following is not true about the arithmetic mean a all the values are used in its calculation b half of the observations are always larger than the mean c it is in uenced by a large value d it is found by summing all the values and dividing by the number of observations In a negatively skewed distribution a the mean is smaller than the median b the mean is larger than the median c the mean and median are equal d the median and the mode are equal Describing Data Numerical Measures p A O p A p A p A J p A UI Chapter 3 What level of measurement is required for the median a nominal ordinal c interval d ratio The Dow Jones Industrial Average increased from 961 in 1980 to over 9500 in the third quarter of 2003 The annual rate of increase is best described by the a geometric mean b weighted mean c median d mode What is the shape of a frequency distribution with an arithmetic mean of 12000 pounds a median of 12000 pounds and a mode of 12000 pounds a at b symmetric c geometrically skewed d positively skewed The mean deviatio a is the average of all the values b is the midpoint of the range c is the average of how far each value is from the median d is the average of how far each value is from the mean The sum of the deviations from the mean is always 21 equal to the mean b equal to zero c always positive d equal to the median The square of the standard deviation is equal to a the mean b the variance c the median d the mean deviation What is the shape of a frequency distribution with an arithmetic mean of 800 pounds median of758 pounds and a mode of 750 pounds a negatively skewed b symmetric c geometrically skewed d positively skewed According to the Empirical Rule about what percent of the observations are within 2 standard deviations of the mean a 50 b 68 c 997 d 95 Describing Data Numerical Measures Part II Find the answers to each of the following questions Show essential calculations 16 A study conducted by the Toledo police at the intersection of Byrne and Heatherdowns for the 7 to 9 AM drive time revealed the following number of vehicles proceeded through the intersection after the light changed The information reported below is for a sample of seven days during a siX month period 6 12 7 12 8 4 5 a Compute the range b Compute the sample mean c What is the median c d What is the mode e Describe the skewness 17 A shipment of packages to the Solomon Company included 10 packages weighing 74 pounds 12 weighing 82 pounds and 6 weighing 87 pounds What value would you use as a typical amount for the weight of a package Chapter 3 Describing Data Numerical Measures 18The mean daily attendance for eight large employers in Dade County is as follows 957 953 955 95 947 937 938 907 18 Find the average daily attendance for the county from 157 million to 687 million Compute the mean annual percent increase in net sales 19 From 1982 to 2003 the net sales for the JM Smucker Company increased 20 The salaries of the eleven employees at Marker Graphics are given in thousands 15 17 23 26 27 35 72 88 91 98 102 a Compute the range b Compute the mean deviation Chapter 3 Describing Data Numerical Measures c Compute the standard deviation c 21 The mean number of gallons of gasoline pumped per customer at Ray s Marathon Station is 95 gallons with a standard deViation of 075 gallons The median number of gallons pumped is 100 gallons The arithmetic mean amount of time spent by a customer in the station is 65 minutes with a standard deViation of 2 minutes 21 According to ChebysheV s Theorem what proportion percent of the customers spend between 330 minutes and 970 minutes at the station b According to the Empirical Rule what proportion of the customers pump between 800 gallons and 1100 gallons Chapter 3 Describing Data Numerical Measures Unemployed 22 The Ohio Bureau of Employment gathered the following sample information on the number of hours unemployed workers spent looking for work last week Determine the mean E b Determine the variance and the standard deviation Chapter 3 Describing Data Numerical Measures

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