Mean, median, mode, and range

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TACHS Math › Mean, median, mode, and range

Questions 1 - 2

Over the course of a grading period, Kim had a total of tests in her math class. She achieved scores of on her tests. What is the average of her test scores?

Explanation

Recall how to find the average of a set of numbers:

$\text{Average}=\frac{\text{Sum of all numbers}}{\text{Total number of numbers}}$

Thus, we can write the following to solve for the average of Kim's test scores:

$\text{Average}=\frac{89+88+96+91+100}{5}=92.8$

Kim has a as her test score average.

Give the median of the following six scores:

83, 87, 99, 90, 82, 84

Explanation

To find the median of a group of scores, first, arrange the scores from least to greatest:

$\left { 82, 83,\textbf{{\color{Red} 84, 87}}, 90, 99 \right }$

There are an even number of scores, so the median is the mean of the two scores that fall in the middle, which are noted in red above. Add the scores and divide by two:

$\frac{84+87}{2} = \frac{171}{2} = 85 .5$ .

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