Question

a group of data items and their mean are given.
135, 162, 192, 195, 207, 279 ; mean = 195
a. find the deviation from the mean for each of the data items.
b. find the sum of the deviations in part (a).
a. type the deviation from the mean for each of the data items.
135 162 192 195 207 279
(simplify your answers.)
b. the sum of the deviations in part (a) is
(simplify your answer.)

Explanation:

Step1: Calculate deviation for 135

Deviation = \(135 - 195=-60\)

Step2: Calculate deviation for 162

Deviation = \(162 - 195=-33\)

Step3: Calculate deviation for 192

Deviation = \(192 - 195=-3\)

Step4: Calculate deviation for 195

Deviation = \(195 - 195 = 0\)

Step5: Calculate deviation for 207

Deviation = \(207 - 195=12\)

Step6: Calculate deviation for 279

Deviation = \(279 - 195 = 84\)

Step7: Sum the deviations

Sum=\((-60)+(-33)+(-3)+0 + 12+84\)

$$
LATEXBLOCK0
$$

Answer:

a. \(-60,-33,-3,0,12,84\)
b. \(0\)