Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
4. Box-and-Whisker Plots
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Exercise 32 Page 751

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

Mean ≈ 43.31
Median = 41
Mode = 41

Practice makes perfect

The first thing that should be done when finding the key features of a data set is rearranging the numbers from least to greatest. 17, 22, 34, 38, 39, 41, 41, 46, 47, 52, 55, 60, 71 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 this case, there are 13 values.

Mean=Sum of values/Number of values
Mean=17 + 22 + 34 + 38 + 39 + 41 + 41 + 46 + 47 + 52 + 55 + 60 + 71/13
Mean=563/13
Mean=43.307692...
Mean = 43.31

Median

To identify the median, we observe the middle value. 17, 22, 34, 38, 39, 41, 41, 46, 47, 52, 55, 60, 71 We can see that the middle value in this set is 41, so this is our median.

Mode

The mode of a data set is the value that occurs most frequently. 17, 22, 34, 38, 39, 41, 41, 46, 47, 52, 55, 60, 71 We can see that 41 occurs more frequently than any other value in the set, so this is the mode.