Question

find a. the mean, b. the deviation from the mean for each data item; and c. the sum of the deviations in part (b) for the following group of data items. 139, 143, 149, 151, 153 a. the mean is (simplify your answer)

Explanation:

Step1: Calculate the sum of data items

Sum of data items \(=139 + 143+149+151+153\)
\(=139+143 = 282\), \(282+149=431\), \(431 + 151=582\), \(582+153 = 735\)

Step2: Calculate the mean

Number of data items \(n = 5\)
Mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}=\frac{735}{5}=147\)

Answer:

\(147\)