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The data represents the number of traffic tickets written by two police officers in one day over the course of a week. Officer 1: 21, 11, 14, 16, 10, 18, 5 Officer 2: 16, 19, 20, 17, 6, 13, 23

(a) Draw a box and whiskers plot for each officer (b) Compare the median values of the data sets. What does this comparison tell you in terms of the situation the data represent?

User AjOnFire
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2 Answers

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the median for officer 1 is 14
median for officer 2 is 17
The data represents the number of traffic tickets written by two police officers in-example-1
User RaviRokkam
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5 votes

Answer and Explanation :

Given : The data represents the number of traffic tickets written by two police officers in one day over the course of a week.

Officer 1: 21, 11, 14, 16, 10, 18, 5

Officer 2: 16, 19, 20, 17, 6, 13, 23

To find : (a) Draw a box and whiskers plot for each officer

(b) Compare the median values of the data sets. What does this comparison tell you in terms of the situation the data represent?

Solution :

a) We plot the box plot with the help of graphing calculator of both data.

Refer the attached figure below.

Figure 1 shows the data 1 with Median 14.

Figure 2 shows the data 2 with Median 17.

b) On comparing the median of both Officer's are different first officer has 14 median and second officer has 17 median.

The data represents the number of traffic tickets written by two police officers in-example-1
The data represents the number of traffic tickets written by two police officers in-example-2
User Kamyar Souri
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4.7k points
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