Question

find the mean for the following list of numbers. 13.7, 15.7, 26.7, 11.7, 26.7, 16.7, 12.7 the mean is (round to the nearest hundredth as needed.)

Explanation:

Step1: Sum up the numbers

$$13.7 + 15.7+26.7 + 11.7+26.7 + 16.7+12.7$$
$$=(13.7+15.7)+(26.7+11.7)+(26.7+16.7)+12.7$$
$$=29.4 + 38.4+43.4 + 12.7$$
$$=(29.4+38.4)+(43.4 + 12.7)$$
$$=67.8+56.1$$
$$=123.9$$

Step2: Count the number of values

There are \(n = 7\) numbers in the list.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=123.9\) and \(n = 7\) into the formula: \(\bar{x}=\frac{123.9}{7}=17.7\)

Answer:

\(17.7\)