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 145, 148, 154, 157, 161 a. the mean is 153 (simplify your answer) b. complete the following table by entering the deviations for each data value data item 145 148 154 157 161 deviation (simplify your answers.)

Explanation:

Step1: Calculate deviation for 145

Deviation = Data item - Mean. So for 145, deviation is \(145 - 153=-8\)

Step2: Calculate deviation for 148

For 148, deviation is \(148 - 153=-5\)

Step3: Calculate deviation for 154

For 154, deviation is \(154 - 153 = 1\)

Step4: Calculate deviation for 157

For 157, deviation is \(157 - 153=4\)

Step5: Calculate deviation for 161

For 161, deviation is \(161 - 153 = 8\)

Answer:

Data Item	145	148	154	157	161