Find the Mean 95 , 45 , 37 , 82 , 90 , 100 , 91 , 78 , 67 , 84 , 85 , 85 , 82 , 91 , 93 , 92 , 76 , 84 , 100 , 59 , 92 , 77 , 68 , 88

$95$ , $45$ , $37$ , $82$ , $90$ , $100$ , $91$ , $78$ , $67$ , $84$ , $85$ , $85$ , $82$ , $91$ , $93$ , $92$ , $76$ , $84$ , $100$ , $59$ , $92$ , $77$ , $68$ , $88$

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

$\frac{95 + 45 + 37 + 82 + 90 + 100 + 91 + 78 + 67 + 84 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Simplify the numerator.

Add $95$ and $45$ .

$\frac{140 + 37 + 82 + 90 + 100 + 91 + 78 + 67 + 84 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $140$ and $37$ .

$\frac{177 + 82 + 90 + 100 + 91 + 78 + 67 + 84 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $177$ and $82$ .

$\frac{259 + 90 + 100 + 91 + 78 + 67 + 84 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $259$ and $90$ .

$\frac{349 + 100 + 91 + 78 + 67 + 84 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $349$ and $100$ .

$\frac{449 + 91 + 78 + 67 + 84 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $449$ and $91$ .

$\frac{540 + 78 + 67 + 84 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $540$ and $78$ .

$\frac{618 + 67 + 84 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $618$ and $67$ .

$\frac{685 + 84 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $685$ and $84$ .

$\frac{769 + 85 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $769$ and $85$ .

$\frac{854 + 85 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $854$ and $85$ .

$\frac{939 + 82 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $939$ and $82$ .

$\frac{1021 + 91 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $1021$ and $91$ .

$\frac{1112 + 93 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $1112$ and $93$ .

$\frac{1205 + 92 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $1205$ and $92$ .

$\frac{1297 + 76 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $1297$ and $76$ .

$\frac{1373 + 84 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $1373$ and $84$ .

$\frac{1457 + 100 + 59 + 92 + 77 + 68 + 88}{24}$

Add $1457$ and $100$ .

$\frac{1557 + 59 + 92 + 77 + 68 + 88}{24}$

Add $1557$ and $59$ .

$\frac{1616 + 92 + 77 + 68 + 88}{24}$

Add $1616$ and $92$ .

$\frac{1708 + 77 + 68 + 88}{24}$

Add $1708$ and $77$ .

$\frac{1785 + 68 + 88}{24}$

Add $1785$ and $68$ .

$\frac{1853 + 88}{24}$

Add $1853$ and $88$ .

$\frac{1941}{24}$

Cancel the common factor of $1941$ and $24$ .

Factor $3$ out of $1941$ .

$\frac{3 (647)}{24}$

Cancel the common factors.

Factor $3$ out of $24$ .

$\frac{3 \cdot 647}{3 \cdot 8}$

Cancel the common factor.

$\frac{3 \cdot 647}{3 \cdot 8}$

Rewrite the expression.

$\frac{647}{8}$

Divide.

$80.875$

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$80.9$

Find the Mean 95 , 45 , 37 , 82 , 90 , 100 , 91 , 78 , 67 , 84 , 85 , 85 , 82 , 91 , 93 , 92 , 76 , 84 , 100 , 59 , 92 , 77 , 68 , 88

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