Question

(a)

What are the various mathematical properties of standard deviation ?

(b)

Showing the calculations, find the class-limits of all classes of the continuous data

given below and find the values of mean, median and mode :

9

Mid-points of Classes

Frequency

7.5

28

17.5

42

27.5

60

37.5

37

47.5

33​

Answer 1

Answer:

The probability that a random variable X from any distribution with a mean [math]\mu[/math] deviates from [math]\mu[/math] by more than 2 standard deviations is [math]<=[/math] 0.25. This is, however, a very conservative bound; many distributions have much greater tightness. For example, in the Normal distribution, this probability is slightly below 0.05.

Explanation:

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