Chapter 12.2, Problem 9CYU

To determine

To find: Which measure of central tendency best represent the data justify your answer and then find the measure.

Answer to Problem 9CYU

Mean would best represent the data and the mean of the data is approximately 15.3.

Explanation of Solution

Given information:

The number of order of new bread type taken each day is 10, 16, 14, 13, 17, 15, 18, 16, 19.

Calculation:

First list the value from least to greatest:

10, 13, 14, 15, 16, 16, 17, 18, 19.

Since, the data set has no outliers so mean would best represent s the data.

Also, mean is the sum of the data divided by total number of data. Therefore,

  $\begin{array}{l}\text{mean}=\frac{10+13+14+15+16+16+17+18+19}{9}\\ \text{mean}=\frac{138}{9}\\ \text{mean}\approx 15.3\end{array}$

Hence,

Mean would best represent the data and the mean of the data is approximately 15.3.