Envision Math 2.0: Grade 6, Volume 2
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2. Summarize Data Using Mean, Median, Mode, and Range
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Exercise 24 Page 466

It may be easier to calculate the median, mode and range if you rearrange the numbers first.

Median = 7.5
Mode = 0
Range = 53

Practice makes perfect

The first thing that we should do when finding the key features of a data set is rearranging the numbers from least to greatest. 0, 0, 1, 2, 13, 27, 50, 53 Now, let's find the median, mode and range.

Median

To identify the median, we observe the middle value.

0, 0, 1, 2 | 13, 27, 50, 53 As we can see, there is no middle value. When this happens, we need to calculate the median by finding the average of the two values closest to the middle. When arranged from least to greatest, 2 and 13 are the most central values. Median=2+ 13/2=7.5

Mode

The mode of a data set is the value that occurs most frequently. 0, 0, 1, 2, 13, 27, 50, 53 We can see that 0 occurs more frequently than any other value in the set, so this is the mode.

Range

The range of a data set is the difference between the greatest and least values of the data set. Let's identify the greatest and least values in our data set! 0, 0, 1, 2, 13, 27, 50, 53 Now we can calculate their difference. Range= 53- 0=53