Question

Listed below are measured amounts of caffeine (mg per 12 oz of drink) obtained in one can from each of 20 brands (7-UP, A&W Root Beer, Cherry Coke, Tab, etc.).

            0, 0, 34, 34, 34, 45, 41, 51, 55, 36, 47, 41, 0, 34, 53, 54, 38, 0, 41, 47

What important feature of the data is not revealed by any of the measures of center? Choose those that are most appropriate.

Group of answer choices

Skewness to one side

Multimodal feature in the data

Possible outliers

Depth of dispersion

All of the above.

None of the above.

Answer 1

• Skewness of a data cannot be indicated by any measure of central tendency. Skewness is indicated by measures of skewness.
• Possible outliers are directly revealed by measures of central tendency. However, if we compute median and then find the distance (difference) between each observation and the median, we do get some idea about a value being a possible outlier.
• Again, depth of dispersion cannot be indicated by any measure of central. However, to measure the depth of dispersion, one definitely has to computed some measure of central tendency.

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