The first thing that should be done when finding the key features of a data set is rearranging the numbers from least to greatest.

8.2, 8.5, 8.8, 9, 9.3

Let's proceed to finding the mean, median, and mode.

Mean

The mean of a data set is calculated by finding the sum of all values in the set and then dividing by the number of values in the set. In this case, there are

5

values in the set.

Mean = \frac{Sum of values}{Number of values}

SubstituteValues

Substitute values

Mean = \frac{8 . 2 + 8 . 5 + 8 . 8 + 9 + 9 . 3}{5}

AddTerms

Add terms

Mean = \frac{4 3 . 8}{5}

CalcQuot

Calculate quotient

Mean = 8.76

Median

To identify the median, we observe the middle value.

8.2, 8.5, 8.8, 9, 9.3

We can see that the middle value in this set is

8.8,

so this is our median.

Mode

The mode of a data set is the value that occurs most frequently.

8.2, 8.5, 8.8, 9, 9.3

In this set, each number in this set occurs only once. Therefore, there is no mode.

Which Measure Is Best?

For the given scenario, the best measure is the mean because there are no outliers in the data. Moreover, mean and median are almost equal.

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