Question

find the mean for the following group of data items.
145, 85, 115, 85, 105
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 values. The data items are 145, 85, 115, 85, 105. So we calculate \(145 + 85+115 + 85+105\).
\(145+85 = 230\), \(230+115=345\), \(345 + 85 = 430\), \(430+105=535\).

Step2: Divide by the number of 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 \(\sum_{i=1}^{n}x_{i}=535\). So we divide the sum by 5: \(\frac{535}{5}=107\).

Answer:

107