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Which of the following measures of spread are based on the mean?

Check all that apply.
A. Variance
B. Range
C. Standard deviation
D. Interquartile range

2 Answers

2 votes
Hello there.

Which of the following measures of spread are based on the mean?

A. Variance and C. Standard deviation
User Polmiro
by
8.3k points
7 votes

Answer:

Variance and standard deviation

Explanation:

The range is the difference between maximum and minimum values in the data set.

Thus range in no way depends on mean

Interquartile range is the difference between Q1 and Q3 i.e. I quartile and III quartile. This has nothing to do with the mean value.

But Std deviation and variance depend on mean

Because variance is the average of sum of squares of each entry from the mean

And std deviation is square root of variance

Thus both depend on the mean

User Alea Kootz
by
8.0k points