Chapter 11.3, Problem 6MCQ

(a)

To determine

To find: The box and the whisker plot and describe the shape the distribution.

Answer to Problem 6MCQ

TheFigure 5 shows the plot and the plot shows that the data to the right of the distribution is distributed over the wide range than the data to the left.

Explanation of Solution

Given:

Theages of the parent is shown in table below.

Table 1

28	34	33	45	31
33	41	34	36	42
30	29	32	40	36
29	33	29	28	44
47	31	28	27	29

Calculation:

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

  

Figure 1

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

  

Figure 2

Press 2^nd Y= to select the stat plot. The diagram is shown in Figure 3

  

Figure 3

Select the plot number by pressing the 1 and then select the histogram plot type by pressing the enter the diagram is shown in Figure 4

  

Figure 4

Press graph to visualize the histogram as shown in Figure 5

  

Figure 5

The plot shows that the data to the right of the distribution is distributed over the wide range than the data to the left.

(b)

To determine

To find: The centre and the spread of the data by the use of either the mean and standard deviation or the five number summary justify your justice.

Answer to Problem 6MCQ

The ages of the parents are the range from 27 to 47. The median age is 33 and the half of the parent’s age lies in the interval 29 to 38.

Explanation of Solution

Press STAT and select the CALC as shown in Figure 6

  

Figure 6

Press the 2^nd and select enter to calculate the statistical variable as shown in Figure 7

  

Figure 7

Scroll down to view the five point summary as shown in Figure 8

  

Figure 8

The ages of the parents are the range from 27 to 47. The median age is 33 and the half of the parent’s age lies in the interval 29 to 38.