Chapter 11.2, Problem 1GP

a.

To determine

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

Explanation of Solution

Given:

The annual rainfall for a region over

24- year period is shown.

  

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 a 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 annual rainfall for a region over

24- year period is shown.

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 $20.46$ .

The standard deviation is $6.7$ .

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

  

The median is $22.5$ .