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Answer: Constructing a Frequency Distribution and a

Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber ISBN: 9780321911216 66

Solution for problem 32E Chapter 2.1

Elementary Statistics: Picturing the World | 6th Edition

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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber

Elementary Statistics: Picturing the World | 6th Edition

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Problem 32E

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

Step-by-Step Solution:

Problem 32E

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.

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

 

                                                             Step by Step Solution

Step 1 of 3

The number of classes stated in the problem = 5

The minimum data entry is 32 and the maximum data entry is 51, so the range is

Range = 51 - 32 = 19.

Divide the range by the number of classes and round up to find the class width, ie;

Class width =

Round up to the next convenient number, 4.

The minimum data entry is 32 and add the class width of 4 to the lower limit of each previous class to get the lower limits of the remaining four classes.

We have the upper limit of the first class as 35. Then the first class is 32 - 35. The upper limit of the first class, 35 is one less than the lower limit of the second class. Then add the class width of 4 to the upper limit of each previous class to get the upper limits of the remaining four classes. In this way we can write each class, as shown below,

Lower limit

Upper limit

32

35

36

39

40

43

44

47

48

51

So, we have the lower and upper limit of each class. Now we can construct a frequency distribution.

A frequency distribution is a table that shows classes or intervals of data entries with a count of the number of entries in each class. The frequency f of a class is the number of data entries in the class. The frequency distribution of the above data set is shown below,

Class

Frequency, f

32-35

3

36-39

9

40-43

8

44-47

3

48-51

1

Step 2 of 3

Chapter 2.1, Problem 32E is Solved
Step 3 of 3

Textbook: Elementary Statistics: Picturing the World
Edition: 6
Author: Ron Larson; Betsy Farber
ISBN: 9780321911216

Since the solution to 32E from 2.1 chapter was answered, more than 922 students have viewed the full step-by-step answer. This full solution covers the following key subjects: frequency, histogram, pungencies, set, data. This expansive textbook survival guide covers 66 chapters, and 3049 solutions. This textbook survival guide was created for the textbook: Elementary Statistics: Picturing the World , edition: 6. The answer to “?Constructing a Frequency Distribution and a Frequency HistogramIn 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 PungenciesNumber of classes: 5Data set: Pungencies (in thousands of Scoville units) of 24 tabasco peppers” is broken down into a number of easy to follow steps, and 46 words. The full step-by-step solution to problem: 32E from chapter: 2.1 was answered by , our top Statistics solution expert on 08/25/17, 09:43AM. Elementary Statistics: Picturing the World was written by and is associated to the ISBN: 9780321911216.

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