Question

Mean variance standard deviation discussions questions

Answer 1

The answer will be Mean = 135 Variance = 62 and Standard Deviation = 8

What is the standard deviation?

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

Given that :

Proportion (p) = 54%

Sample size (n) = 250

Using Normal approximation :

Mean = np

Mean = 250 * 0.54 = 135

Variance = npq ; q = 1 - p = 1 - 0.54 = 0.46

Variance = (250 * 0.54 * 0.46) = 62.1 = 62

Standard deviation = √variance = √62.1

Standard deviation = 7.8803553 = 8

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