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A group of data items and their mean are given:

15, 25, 35, 60, 90, 135; Mean = 60

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.

A. -45, -35, -25, 0, 30, 75
B. 45, 35, 25, 0, -30, -75
C. 75, 30, 0, -25, -35, -45
D. -75, -30, 0, 25, 35, 45

Answer :

Final answer:

Option A).The deviation from the mean for each data point is obtained by subtracting the mean from each data point. For the given data set and mean, the deviations are -45, -35, -25, 0, 30, 75. The sum of these deviations is 0.

Explanation:

The subject of your question revolves around the concept of mean deviation. The deviation from the mean is calculated by subtracting the mean from each data point.

  1. For the given data 15, 25, 35, 60, 90, 135 with mean 60, we calculate deviations as follows:
    15-60 = -45,
    25-60 = -35,
    35-60 = -25,
    60-60 = 0,
    90-60 = 30,
    135-60 = 75.
  2. So the deviations from the mean are -45, -35, -25, 0, 30, 75, which corresponds to option A.
  3. The sum of these deviations is -45 -35 -25 +0 +30 +75 = 0.

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