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McGraw Hill Glencoe Algebra 2, 2012

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McGraw Hill Glencoe Algebra 2, 2012 View details

9. Measures of Center, Spread, and Position

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Exercise 1 Page P27

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

Mean: 451.8 5
Median: 399
No mode

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. 224, 272, 308, 374, 394, 404, 478, 480, 624, 960 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 10 values in the set.

Mean=Sum of values/Number of values

SubstituteValues

Substitute values

Mean=224+ 272+308+374+ 394+404+478+ 480+624+960/10

Add terms

Mean=4518/10

Calculate quotient

Mean=451.8

Median

To identify the median, we observe the middle value. 224, 272, 308, 374, 394 | 404, 478, 480, 624, 960 In this case there is no middle value. When this happens, we need to calculate the median by finding the average of the two central values. Once arranged from least to greatest, we find that 394 and 404 are the two central values. Median=394+ 404/2=399

Mode

The mode of a data set is the value that occurs most frequently. 224, 272, 308, 374, 394, 404, 478, 480, 624, 960 In this set, each number occurs only once. Therefore, there is no mode.

Subchapter links

Exercises p.27-P27