Chapter 11.3, Problem 7MCQ

(a)

To determine

To find: The histogram for the given data set and then describe the shape of the distribution.

Answer to Problem 7MCQ

Thehistogram plot is shown in Figure 5 and Figure 6 and it shows that the mean and median of the distribution of both mark and Aiden are close.

Explanation of Solution

From the given data for Aiden 40 meter dash times (seconds).

Press STAT and press 1 to select edit for entering the data as shown in Figure 1

  

Figure 1

Enter all the values in the L1 one by on as shown in Figure 2

  

Figure 2

Press 2^nd and Y= to select the stat plot as shown in Figure 3

  

Figure 3

Select the plot number 1 and select the histogram plot as shown in Figure 4

  

Figure 4

Press the Graph to obtain the plot as shown in Figure 5

  

Figure 5

In the same way the histogram for the Mark time is shown in Figure 6

  

Figure 6

The histogram shows that the distribution is symmetric for both the graph therefore they have same median and mean of the distributions and are very close to each other and the data are evenly distributed on both the sides of the mean.

(b)

To determine

To find: The comparison for the distribution for both the data sets.

Answer to Problem 7MCQ

Themean and the standard deviation is for both Mark and Aiden are almost same. This shows that the training time of Mark is smaller timing average and higher standard deviation than Adan hence mark’s performance is more scattered and comparatively bad than Adan.

Explanation of Solution

From figure 5 and figure 6 it is clear that the distribution is symmetric for both the mean and the standard deviation.

The mean and the deviation for both the data sets is shown in Figure 7

  

Figure 7

Thus, the mean and the standard deviation is for both Mark and Aiden are almost same. This shows that the training time of Mark is smaller timing average and higher standard deviation than Adan hence mark’s performance is more scattered and comparatively bad than Adan.