Basic Math Examples

$95$ , $82$ , $77$ , $64$ , $100$ , $97$ , $95$ , $95$ , $81$ , $80$ , $80$ , $84$ , $98$ , $77$ , $61$ , $69$ , $71$ , $80$ , $100$ , $999$

Step 1

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

$\frac{95 + 82 + 77 + 64 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2

Simplify the numerator.

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Step 2.1

Add $95$ and $82$ .

$\frac{177 + 77 + 64 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.2

Add $177$ and $77$ .

$\frac{254 + 64 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.3

Add $254$ and $64$ .

$\frac{318 + 100 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.4

Add $318$ and $100$ .

$\frac{418 + 97 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.5

Add $418$ and $97$ .

$\frac{515 + 95 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.6

Add $515$ and $95$ .

$\frac{610 + 95 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.7

Add $610$ and $95$ .

$\frac{705 + 81 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.8

Add $705$ and $81$ .

$\frac{786 + 80 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.9

Add $786$ and $80$ .

$\frac{866 + 80 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.10

Add $866$ and $80$ .

$\frac{946 + 84 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.11

Add $946$ and $84$ .

$\frac{1030 + 98 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.12

Add $1030$ and $98$ .

$\frac{1128 + 77 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.13

Add $1128$ and $77$ .

$\frac{1205 + 61 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.14

Add $1205$ and $61$ .

$\frac{1266 + 69 + 71 + 80 + 100 + 999}{20}$

Step 2.15

Add $1266$ and $69$ .

$\frac{1335 + 71 + 80 + 100 + 999}{20}$

Step 2.16

Add $1335$ and $71$ .

$\frac{1406 + 80 + 100 + 999}{20}$

Step 2.17

Add $1406$ and $80$ .

$\frac{1486 + 100 + 999}{20}$

Step 2.18

Add $1486$ and $100$ .

$\frac{1586 + 999}{20}$

Step 2.19

Add $1586$ and $999$ .

$\frac{2585}{20}$

Step 3

Cancel the common factor of $2585$ and $20$ .

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Step 3.1

Factor $5$ out of $2585$ .

$\frac{5 (517)}{20}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $20$ .

$\frac{5 \cdot 517}{5 \cdot 4}$

Step 3.2.2

Cancel the common factor.

$\frac{5 \cdot 517}{5 \cdot 4}$

Step 3.2.3

Rewrite the expression.

$\frac{517}{4}$

Step 4

Divide.

$129.25$

Step 5

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.

$129.3$