Question

find the mean for the following group of data items.
70, 10, 40, 10, 30
the mean is \boxed{}. (type an integer or a decimal.)

Explanation:

Step1: Sum the data items

To find the mean, first we sum all the data items. The data items are 70, 10, 40, 10, 30. So we calculate \(70 + 10 + 40 + 10 + 30\).
\(70+10 = 80\), \(80 + 40 = 120\), \(120+10 = 130\), \(130 + 30 = 160\). So the sum is 160.

Step2: Divide by the number of data items

There are 5 data items. The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(n = 5\) and \(\sum_{i=1}^{n}x_{i}=160\). So we divide the sum by 5: \(\frac{160}{5}=32\).

Answer:

32