Chapter 11.2, Problem 5PPS

(a)

To determine

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

Answer to Problem 5PPS

The majority data in Figure 3 is on the right so the distribution is negatively skewed.

Explanation of Solution

Given:

The data point for the Kevin’s fantasy football team is shown in Table 1

165	140	88	158	101	137	112	127
53	151	120	156	142	179	162	79

Table 1

Calculation:

Use the graphing calculator.

Press STAT and select edit option and enter the values of the table as shown in Figure 1

  

Figure 1

Press 2^nd and y= and select option 1 on the plot 1 as shown in Figure 2

  

Figure 2

Press graph key to trace the graph as shown in Figure 3

  

Figure 3

The figure 3 shows that the majority of the data is on the right so the distribution is negatively skewed.

(b)

To determine

To find: The centre and the spread of the data using either the mean and standard deviation of the five number summary to justify the choice.

Answer to Problem 5PPS

The mean of the model is 129.4, the standard deviation of the model is 35 and the median is 138.5.

Explanation of Solution

Press the Stat and select CLAC option and select 1 Var stats and press enter as shown in Figure 4

  

Figure 4

Press enter to obtain the values as shown in Figure 5

  

Figure 5

From above the mean of the model is 129.4.

The standard deviation of the model is 35.

Press the arrow down of the display screen to find the display screen to find the median as shown in Figure 6

  

Figure 6

Thus, the median is 138.5.