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 data set. 28, 78, 53, 28, 103 a. the mean is (simplify your answer.)

Explanation:

Step1: Find the sum of the data

The data set is \(28, 78, 53, 28, 103\). First, we calculate the sum: \(28 + 78 + 53 + 28 + 103\).
\(28+78 = 106\), \(106+53 = 159\), \(159+28 = 187\), \(187+103 = 290\). So the sum is \(290\).

Step2: Calculate the mean

The mean \(\bar{x}\) is the sum of the data divided by the number of data points \(n\). Here, \(n = 5\). So \(\bar{x}=\frac{290}{5}\).
\(\frac{290}{5}=58\).

Answer:

\(58\)