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 158, 160, 167, 169, 171 a. the mean is □. (simplify your answer.)

Explanation:

Step1: Sum the data values

The data values are 158, 160, 167, 169, 171. First, we find their sum.
\(158 + 160 + 167 + 169 + 171\)
\(= (158 + 160) + (167 + 169) + 171\)
\(= 318 + 336 + 171\)
\(= 318 + 507\)
\(= 825\)

Step2: Calculate the mean

The mean is the sum of the data divided by the number of data points. There are 5 data points.
Mean \(= \frac{825}{5}\)
\(= 165\)

Answer:

165