Chapter 10.1, Problem 15IP

To determine

To Find: The survey of the classmates for their height and the data set for it and then plot it. Then, find the mean, median and the mode for the data set. Then determine the measure centre that is used to represent the height.

Answer to Problem 15IP

The plot is shown in Figure 1 and the preferred measure centre to represent the height is mean as there is not much difference in the individual data.

Explanation of Solution

Consider the data set for the height in inches is,

  $58,61,63,64,66,67,69,71,73,79$

Then, the mean of the data set is,

  $\frac{58+61+63+64+66+67+69+71+73+79}{10}=67.1$

The median of the data set is obtained by arranging the number in ascending order as,

  $58,61,63,64,66,67,69,71,73,79$

Then, the median is,

  $\frac{66+67}{2}=66.5\text{in}$

The mode of the data set do not exist as none of the number is repeated.

The plot for the data set is shown in Figure 1

  

Figure 1

Here, the preferred measure centre to represent the height is mean as there is not much difference in the individual data.