Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
3. Measures of Central Tendency and Dispersion
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Exercise 9 Page 742

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

Mean = 63
Median = 52
Mode: does not exsist
Best Measure: median

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. 38, 43, 48, 52, 65, 75, 120 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 7 values in the set.
Mean=Sum of values/Number of values
Mean=38 + 43 + 48 + 52 + 65 + 75 + 120/7
Mean=441/7
Mean=63

Median

To identify the median, we observe the middle value. 38, 43, 48, 52, 65, 75, 120 We can see that the middle value in this set is 52, so this is our median.

Mode

The mode of a data set is the value that occurs most frequently. 38, 43, 48, 52, 65, 75, 120 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 median because the mean is greater than the most of the data points. Outliers affect the mean but not the median.