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Calculate the mean and the (sample) standard deviation of the four numbers: 2, 3, 6, 9...

Calculate the mean and the (sample) standard deviation of the four numbers: 2, 3, 6, 9

Two numbers, a and b, are to be added to this set of four numbers, such that the mean is increased by 1 and the (sample) standard deviation is increased by 2.5. Find the values of a and b.

math   Statistics-And-Probability   
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Answer #1

Let x be the values 2, 3, 6, 9

n = number of value = 4

Mean:

Mean = 5

Sample standard deviation:

s = 3.1623               (Round to 4 decimal)

Sample standard deviation = 3.1623

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