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m1757
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the-arithmetic-mean-elementary
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Grade 5
Grade 6
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Mathematics
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Title (level 2)
5th and 6th Grade
Title slug (identifier)
grades-five-and-six
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What Is the Arithmetic Mean?
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The arithmetic mean of a list of data is the value that each piece of data would have if its sum was equally distributed.

Example:

The sum of these 3 pieces of data is 12.

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Example 1 - Calculation of the mean
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By dividing the sum equally among the number of data, the value of each piece of data becomes 4.

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Example 2 - Calculation of the mean
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How to Calculate an Arithmetic Mean
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To calculate an arithmetic mean, follow these steps:

  1. Add all the data to find the sum.

  2. Divide this sum by the number of data.

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Find the mean of these data values: 8, 14, 5, 22 and 11.

  1. Add all the data to find the sum.

8 + 14 + 5 + 22 + 11 = 60

  1. Divide this sum by the number of data.

    Since there are 5 pieces of data, divide 60 by 5.

60 ÷ 5 = 12

The mean of 8, 14, 5, 22 and 11 is 12.
(8 + 14 + 5 + 22 + 11) ÷ 5 = 12

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Find the mean of these data values: 31, 6, 12, 9, 25, 17, 1 and 9.

  1. Add all the data to find the sum.

31 + 6 + 12 + 9 + 25 + 17 + 1 + 9 = 110

  1. Divide this sum by the number of data.

    Since there are 8 pieces of data, divide 110 by 8.

110 ÷ 8 = 13.75

The mean of 31, 6, 12, 9, 25, 17, 1 and 9 is 13.75.
(31 + 6 + 12 + 9 + 25 + 17 + 1 + 9) ÷ 8 = 13.75

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Find the mean of these data values: 72%, 84% and 63%.

  1. Add all the data to find the sum.

72 + 84 + 63 = 219

  1. Divide this sum by the number of data.

    Since there are 3 pieces of data, divide 219 by 3.

219 ÷ 3 = 73

The mean of 72%, 84% and 63% is 73%.
(72 + 84 + 63) ÷ 3 = 73

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