Question

a group of data items and their mean are given.
9, 15, 21, 36, 54, 81 ; mean = 36
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.
9 15 21 36 54 81
-27 -21 -15 0 18 45
(simplify your answers.)
b. the sum of the deviations in part (a) is □.
(simplify your answer.)

Explanation:

Step1: Recall the formula for deviation from the mean

The deviation of a data item \(x\) from the mean \(\bar{x}\) is given by \(x-\bar{x}\). For part (b), we need to sum up all the deviations found in part (a).
The deviations from part (a) are \(- 27,-21,-15,0,18,45\)

Step2: Calculate the sum of the deviations

$$
LATEXBLOCK0
$$

Answer:

\(0\)