Why is the standard deviation preferable to the range as a measure of variation? select the correct answer below.

a. the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones.

b. the standard deviation is preferable to the range as a measure of variation because the standard deviation is resistant to outliers, whereas the range is not.

c. the standard deviation is preferable to the range as a measure of variation because it is optimal when the median is used as the center of measure.

d. the standard deviation is preferable to the range as a measure of variation because the standard deviation is always smaller than the range?

Question

Dalia Daugherty

Mathematics

19 April, 01:04

Why is the standard deviation preferable to the range as a measure of variation? select the correct answer below.

a. the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones.

b. the standard deviation is preferable to the range as a measure of variation because the standard deviation is resistant to outliers, whereas the range is not.

c. the standard deviation is preferable to the range as a measure of variation because it is optimal when the median is used as the center of measure.

d. the standard deviation is preferable to the range as a measure of variation because the standard deviation is always smaller than the range?

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Answers (1)

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Ryan Cherry · Answer 1

I believe the answer is A, the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and the smallest. Range gives an overall spread of data from the lowest to the largest and thus can be influenced by anomalies, standard deviation on the other hand, takes into account the variable data/spread about the mean and allows for statistical use so inferences can be made.