Chapter 11.2, Problem 3GP

a.

To determine

To create the histogram using graphing calculator and describe the shape of the distribution.

Explanation of Solution

Given:

The typing speeds of the students in two classes is shown in the table-

  

Calculation:

Press $STAT$ , select Edit option and enter the $x\text{ and }y$ values as shown in the display below;

Press 2^nd and, select $y=$ option $1$ and ON the plot1 as shown in the display below;

  

Press GRAPH key to trace the graph as shown in the display below;

  

Since, the majority of the data is on the right and there is tail on the left, the distribution is negatively skewed.

b.

To determine

To find the mean and the standard deviation or the five-number summary.

Explanation of Solution

Given:

The typing speeds of the students in two classes is shown in the table-

Calculation:

Press $STAT$ , select CALC option and select 1-var Stats and press enter as shown the display below;

In the display screen, Press enter to get the value as shown in the display below;

Therefore the mean $\overline{X}$ of the model is $19.22$ .

The standard deviation is $8.56$ .

Press the arrow down of the display screen to find the median as shown below:

  

The median is $17$ .