5. Is the range sensitive or robust? Explain what you mean. equals what number?

Question

5. Is the range sensitive or robust? Explain what you mean. equals what number? median, and mode, then they are identical. 6. The mean of the deviations of any data set always 7. True or false: If two data sets have the same mean, 8. What is one benefit of using the standard deviation instead of the range as a measure of spread? What is one 9. Which measure of spread represents the mean squared 10. True or false: When using the computational formulas drawback? deviation for the population? or the variance and standard deviation, you do not need to alculate the individual deviations.

Explanation / Answer

(5) Range is sensitive. This is because Range is the difference between the maximum and minimum values of a data set and hence it is not based on all the observations. Also, it is too much affected by fluctuation of sampling.

(6) The mean of the deviations of any data set always equals 0.

(7) False.

(8) Benefit - SD is based on all the observations in the data set and is least affected by fluctuations in sampling.
Drawback - It is very much affected by extreme values in the data set.

(9) Variance.

(10) True.

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