Core Connections: Course 2
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2. Section 4.2
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Exercise 33 Page 201

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. 8, 22, 19, 12, 18, 19, 10, 35, 12, 19, 16, 21 ⇓ 8, 10, 12, 12, 16, 18, 19, 19, 19, 21, 22, 35 To identify the median, we look for the middle value. 8, 10, 12, 12, 16, 18 | 19, 19, 19, 21, 22, 35 Dang it! 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, 18 and 19 are the most central values. Let's average them. Median=18+ 19/2=18.5 The median of the data is 18.5 minutes.
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. 8, 22, 19, 12, 18, 19, 10, 35, 12, 19, 16, 21 In this case, there are 12 values in the set. Let's add up the values and divide by 12.

Mean=Sum of values/Number of values
Mean=8+22+19+12+18+19+10+35+12+19+16+21/12
Mean=211/12

The mean of the data set is 21112 minutes. We can also write this fraction as a mixed number.

Mean=211/12
Mean=204+7/12
204/12+7/12
17+7/12
17 712

The mean of the data set is 17 712 minutes.