Find the Mean (Arithmetic) {6,7,8,9,10,11,12,13,14,15}

${6, 7, 8, 9, 10, 11, 12, 13, 14, 15}$

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15}{10}$

Simplify the numerator.

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Add $6$ and $7$ .

$\frac{13 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15}{10}$

Add $13$ and $8$ .

$\frac{21 + 9 + 10 + 11 + 12 + 13 + 14 + 15}{10}$

Add $21$ and $9$ .

$\frac{30 + 10 + 11 + 12 + 13 + 14 + 15}{10}$

Add $30$ and $10$ .

$\frac{40 + 11 + 12 + 13 + 14 + 15}{10}$

Add $40$ and $11$ .

$\frac{51 + 12 + 13 + 14 + 15}{10}$

Add $51$ and $12$ .

$\frac{63 + 13 + 14 + 15}{10}$

Add $63$ and $13$ .

$\frac{76 + 14 + 15}{10}$

Add $76$ and $14$ .

$\frac{90 + 15}{10}$

Add $90$ and $15$ .

$\frac{105}{10}$

Cancel the common factor of $105$ and $10$ .

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Factor $5$ out of $105$ .

$\frac{5 (21)}{10}$

Cancel the common factors.

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Factor $5$ out of $10$ .

$\frac{5 \cdot 21}{5 \cdot 2}$

Cancel the common factor.

$\frac{5 \cdot 21}{5 \cdot 2}$

Rewrite the expression.

$\frac{21}{2}$

Divide.

$10.5$

Find the Mean (Arithmetic) {6,7,8,9,10,11,12,13,14,15}

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