Question

2. Find the Mean Deviation about
Mean: 31, 35, 29, 63, 55, 72, 37 *​

Answer 1

Answer:

46

Step-by-step explanation:

29+31+35+37+55+63+72/7

=322/7

=46

Answer 2

Answer:

Mean Deviation = 14.86

Solution:

The given set of values is,

31, 35, 29, 63, 55, 72, 37

Number of observations, n = 7

Mean, m = Sum of observations/Number of observations

              = (31 + 35 + 29 + 63 + 55 + 72 + 37)/n

              = 322/7

              = 46

Now we will find the deviation of each observation from the mean. We will subtract the mean from every observation.

x - m   (Ignore (-) sign)

31 - 46 = 15

35 - 46 = 11

29 - 46 = 17

63 - 46 = 17

55 - 46 = 9

72 - 46 = 26

37 - 46 = 9

Mean deviation about mean is given by,

Mean deviation, M.D. = Sum of deviations from mean/Number of observations

M.D. = (15 + 11 + 17 + 17 + 9 + 26 + 9)/n

        = 104/7

        = 14.86

Hence, the mean deviation about the mean of the given data is M.D. = 14.86

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