Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
4. Box-and-Whisker Plots
Continue to next subchapter

Exercise 31 Page 751

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

Mean = 747.5
Median = 708
Mode = 627

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. 627, 627, 643, 697, 719, 731, 948, 988 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 8 values.

Mean=Sum of values/Number of values
Mean=627 + 627 + 643 + 697 + 719 + 731 + 948 + 988/8
Mean=5980/8
Mean=747.5

Median

To identify the median, we observe the middle value. 627, 627, 643, 697 | 719, 731, 948, 988 Dangit! 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, 697 and 719 are the most central values. Median=697+ 719/2= 708

Mode

The mode of a data set is the value that occurs most frequently. 627, 627, 643, 697, 719, 731, 948, 988 We can see that 627 occurs more frequently than any other value in the set, so this is the mode.