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McGraw Hill Glencoe Algebra 2, 2012

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McGraw Hill Glencoe Algebra 2, 2012 View details

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Exercise 1 Page 721

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

Mean: 89 customers
Median: 88 customers
Mode: 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. 66, 73, 76, 78, 80, 82, 87, 89 90, 92, 97, 101, 110, 125 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 14 values in the set.

Mean=Sum of values/Number of values

SubstituteValues

Substitute values

Mean=66+73+76+78+80+82+87+89+90+92+97+101+110+125/14

Add terms

Mean=1246/14

Calculate quotient

Mean=89

Median

To identify the median, we observe the middle value. 66, 73, 76, 78, 80, 82, 87 | 89 90, 92, 97, 101, 110, 125 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, 87 and 89 are the most central values. Median=87+ 89/2=88

Mode

The mode of a data set is the value that occurs most frequently. 66, 73, 76, 78, 80, 82, 87, 89 90, 92, 97, 101, 110, 125 In this set, each number occurs only once. Therefore, there is no mode.

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