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The following are the durations in minutes of a sample of long-distance phone calls within the continental United States reported by one long-distance carrier   Time (in minutes) Relative frequency 0 but less than 5 0

Marketing Dec 20, 2020

The following are the durations in minutes of a sample of long-distance phone calls within the continental United States reported by one long-distance carrier

 

Time (in minutes) Relative frequency
0 but less than 5 0.27
5 but less than 10 0.22
10 but less than 15 0.15
15 but less than 20 0.10
20 but less than 25 0.17
25 but less than 30 0.07
30 or more 0.02

What is the width of each class?

Expert Solution

Durations of minutes of a sample of long-distance phone calls within the continental United States reported by one long-distance carrier along with their relative frequency is given in table as follows,

 

Time (in minutes) Relative frequency
0 but less than 5 0.27
5 but less than 10 0.22
10 but less than 15 0.15
15 but less than 20 0.10
20 but less than 25 0.17
25 but less than 30 0.07
30 or more 0.02

 

The table of time in terms of class intervals is given as,

 

Time (in minutes) Relative frequency
0 - 5 0.27
5 - 10 0.22
10 -15 0.15
15 - 20 0.10
20 - 25 0.17
25 - 30 0.07
30 or more 0.02

 

The width of classes is given as difference of lower and upper limit of each class.

On inspection, it can be seen that difference between any of the given class limits is 5.

For instance,

U.L−L.L=20−15=5U.L−L.L=20−15=5

Hence, the class width is 5 for each class.

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