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Data

The following...

Question

The following dot plot is plotted using a survey of 10 students to determine how many semester hours the students took on a semester. Which of the following is the best measure of the data set?

A

mean

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B

median

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C

mode

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D

range

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Solution

The correct option is A mean
The given dot plot is

The data set is

12, 12, 13, 14, 14, 14, 14, 15, 16, 17

For a set with an even number of values, the median is the mean of the two middle values.

Median = $\frac{14 + 14}{2}$

= $\frac{28}{2}$

= 14

Mean = $\frac{s u m o f a l l d a t a}{n u m b e r o f d a t a}$

Mean of the data = $\frac{12 + 12 + 13 + 14 + 14 + 14 + 14 + 15 + 16 + 17}{10}$

= $\frac{136}{10}$

= 13.6

The mode of the data set is the value or values that occur most often.

Mode = 14

Among mean, median and mode, mean is the best measure of data, since there is no outlier.

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