Question

4.15 In what sense is the variance
(a) a type of mean?
(b) not a readily understood measure of variability?
(c) a stepping stone to the standard deviation?

Reference : Statistics by Robert S. Witte and John S. Witte

Answer 1

Answer:

a) .In statistics, variance measures variability from the average or mean. It is calculated by taking the differences between each number in the data set and the mean, then squaring the differences to make them positive, and finally dividing the sum of the squares by the number of values in the data set.

b) .: The range, interquartile range and standard deviation are three of the measures of variation. So, we're left with the mode, which is actually a measure of central tendency, not a measure of variation.

c). Variance is the average squared deviations from the mean, while standard deviation is the square root of this number. Both measures reflect variability in a distribution, but their units differ: Standard deviation is expressed in the same units as the original values (e.g., minutes or meters).

Step-by-step explanation:

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