Chapter 11.2, Problem 10PPS

(a)

To determine

To find: The box and the whisker plot to create a box and whisker plot for each of the data set.

Answer to Problem 10PPS

The figure 3 shows that the majority on the left so the distribution is negatively skewed.

Explanation of Solution

Given:

The data set for the boys is $253,288,304,283,348,276,322,368,247,404,450,341,291,260,394,302,297$ and $272$ .

The data for the private college is $682,533,602,504,635,541,489,703,453,521,472,368,562,426,382,668,352$ and $587$ .

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 on the left 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 10PPS

The mean of the first model is 317, the standard deviation of the model is 57 and the median is 300. The mean of the second model is 327, the standard deviation of the model is 107 and the median is 602.

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 first model is 327

The standard deviation of the first model is 107.

From above the mean of the second model is 12803

The standard deviation of the second model is 107.

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 of the first model is 602.

Thus, the median of the second model is 602.