Chapter SH, Problem 13.1.5EP

To determine

To find: the mean, median, and mode of the given data.

Answer to Problem 13.1.5EP

The mean is $2500$ .

The median is $935.8$

The mode is no mode.

Explanation of Solution

Given:

Populations (thousands)
$3332.2$	$4292.2$	$1179.7$	$750.5$	$512.5$	$935.8$	$12,630.5$
$138.3$	$7636.7$	$989.0$	$42.2$	$31.1$	$29.8$

Population:

Consider the below data.

Find the mean, median, mode.

  $3332.2,4292.2,1179.7,750.5,512.5,935.8,12630.5,138.3,7636.7,989,42.2,31.1,29.8$

Mean:

Mean is sum of data points divided by the number of data points.

Here number of data points is $13$ .

  $\begin{array}{l}Mean=\frac{\begin{array}{l}3332.2+4292.2+1179.7+750.5+512.5+935.8+12630.5\\ +138.3+7636.7+989+42.2+31.1+29.8\end{array}}{13}\\ =\frac{32500.5}{13}\\ \approx 2500\end{array}$

Hence, the mean is $2500$ .

Median:

Median is the middle number of the data ordered from lowest to greatest.

Data in increasing order is:

  $\begin{array}{l}29.8,31.1,42.2,138.3,512.5,750.5,935.8,989\\ 1179.7,3332.2,4292.2,7636.7,12630.5\end{array}$

Here middle number is $935.8$ .

Hence, the median is $935.8$

Mode:

Mode is the number of numbers that occur more often.

No data point that occurs more often.

Hence, the mode is no mode.

Conclusion:

Hence, the mean is $2500$ , the median is $935.8$ and the mode is no mode.