Question

Each year farmer records the number of pumpkins he sold for 5 weeks. The mean is 782 and the mean absolute deviation is 52. List two possible values that are within the mean absolute deviation?

Answer 1

When we have a mean M and a standard deviation S, the values that are within the mean absolute deviation are all the values in the interval:

[M -S, M + S]

In this case, we have:

M = 782

S = 52

Then the interval is:

[782 - 52, 782 + 52]

[730, 834]

Then any number between 730 and 834 are possible answers to this question, for example, we can choose:

789 and 801