Question

The larger the standard deviation, the data tends to _______________________. a) be more varied from the mean. b) be more similar to the mean. c) have a smaller range. d) have a wider range.

Answer 1

Answer: The answer is "a"

Explanation:

The standard deviation of a class is a measure of it's variation from the mean. The more the value of standard deviation, the more it deviates from the mean of the set of numbers given and conversely, the smaller the standard deviation, the closer it is to the mean.

Standard deviation explains the behaviour of each element of the set of data to the behaviour if the mean value for the same set of number. Therefore the answer is "a" the larger the standard deviation, the data tends to be more varied from the mean.