Find the value of x when the Mean of the following distribution is 31.z 12 20 27 33 X 54 Frequency 8 16 48 90 30 8

41
42
43
45

The correct answer is (a) 41.

The mean is the sum of the values divided by the number of values. In this case, the mean is 31, so the sum of the values is 31 * 60 = 1860. The values are 12, 20, 27, 33, 54, and 8. So the value of x is 1860 – (8 + 16 + 48 + 90 + 30 + 8) = 41.

Option (b) is incorrect because 42 is not a value in the distribution.

Option (c) is incorrect because 43 is not a value in the distribution.

Option (d) is incorrect because 45 is not a value in the distribution.