Find the mean, variance and standard deviation using short-cut method

Let the assumed mean, A = 92.5 and h = 5
We obtain the following table from the given data:

We know that Mean, ![]()
∴ ![]()
We know that Variance σ2 = ![]()
∴ σ2 = ![]()
We know that Standard Deviation = σ
∴ σ = √105.583 = 10.275
Ans. Mean = 93, Variance = 105.583 and Standard Deviation = 10.275