D9: A test to measure aggressive tendencies was given to a group of teenage boys

Question

D9: A test to measure aggressive tendencies was given to a group of teenage boys who were members of a street gang. The test is scored from 10 to 60, with a high score indicating more aggression. The histogram represents the results for these 28 boys.

What is the shape of the distribution? What measure of center should be used to report the typical value? What measure of spread would be the most appropriate measure to report how spread out the observations are in this histogram? Justify your choices.

Explanation / Answer

The shape of the distribution of the data is negatively skewed. It has a slight tail on the left side.

The most prefered measure of central tendency used in this case is Median. Since the Mean of the data is not in the middle that is pulled toward the direction of left tail.

The most appropriate measure of spread used to report fot the data is Interquartile Range Since it is not affected by the extreme observation.

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