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what is the average of 10 8 7 10 9 9 10 9 and 10 12 14 13 10 15 11 12

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Answered by GPT-4o mini
To find the average of the given numbers, we first add them all together and then divide by the total count of the numbers.

The numbers are:
10, 8, 7, 10, 9, 9, 10, 9, 10, 12, 14, 13, 10, 15, 11, 12.

**Step 1**: Add all the numbers together.

\[
10 + 8 + 7 + 10 + 9 + 9 + 10 + 9 + 10 + 12 + 14 + 13 + 10 + 15 + 11 + 12 = 10 + 8 = 18 \\
18 + 7 = 25 \\
25 + 10 = 35 \\
35 + 9 = 44 \\
44 + 9 = 53 \\
53 + 10 = 63 \\
63 + 9 = 72 \\
72 + 10 = 82 \\
82 + 12 = 94 \\
94 + 14 = 108 \\
108 + 13 = 121 \\
121 + 10 = 131 \\
131 + 15 = 146 \\
146 + 11 = 157 \\
157 + 12 = 169
\]

So, the total sum is **169**.

**Step 2**: Count the numbers.

There are **16** numbers in total.

**Step 3**: Divide the total sum by the count of numbers to find the average.

\[
\text{Average} = \frac{\text{Total Sum}}{\text{Count}} = \frac{169}{16} = 10.5625
\]

Thus, the average of the numbers is **10.5625**.

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