The varience of 15 observations is 4, if each observation is increased by 9, the varience of the resulting observation is
A)8
B)16
C)4
D)None of these

Question

Quizplus · Accepted Answer

Variance is a measure of the dispersion of a set of data points around their mean. When each observation in a dataset is increased (or decreased) by a constant value, the variance of the dataset does not change. This is because variance measures the spread of the data points relative to each other, and adding or subtracting a constant from each data point shifts all the points by the same amount without affecting their relative dispersion. Therefore, if the original variance of 15 observations is 4, and each observation is increased by 9, the variance of the resulting observations remains 4.

The Varience of 15 Observations Is 4, If Each Observation