Basic Math Examples

$23$ , $28$ , $32$ , $33$ , $33$ , $34$ , $36$ , $36$ , $36$ , $36$ , $37$ , $39$ , $39$ , $42$ , $42$ , $42$ , $43$ , $43$ , $43$ , $43$ , $44$ , $44$

Step 1

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

$\frac{23 + 28 + 32 + 33 + 33 + 34 + 36 + 36 + 36 + 36 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2

Simplify the numerator.

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Step 2.1

Add $23$ and $28$ .

$\frac{51 + 32 + 33 + 33 + 34 + 36 + 36 + 36 + 36 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.2

Add $51$ and $32$ .

$\frac{83 + 33 + 33 + 34 + 36 + 36 + 36 + 36 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.3

Add $83$ and $33$ .

$\frac{116 + 33 + 34 + 36 + 36 + 36 + 36 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.4

Add $116$ and $33$ .

$\frac{149 + 34 + 36 + 36 + 36 + 36 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.5

Add $149$ and $34$ .

$\frac{183 + 36 + 36 + 36 + 36 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.6

Add $183$ and $36$ .

$\frac{219 + 36 + 36 + 36 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.7

Add $219$ and $36$ .

$\frac{255 + 36 + 36 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.8

Add $255$ and $36$ .

$\frac{291 + 36 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.9

Add $291$ and $36$ .

$\frac{327 + 37 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.10

Add $327$ and $37$ .

$\frac{364 + 39 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.11

Add $364$ and $39$ .

$\frac{403 + 39 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.12

Add $403$ and $39$ .

$\frac{442 + 42 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.13

Add $442$ and $42$ .

$\frac{484 + 42 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.14

Add $484$ and $42$ .

$\frac{526 + 42 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.15

Add $526$ and $42$ .

$\frac{568 + 43 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.16

Add $568$ and $43$ .

$\frac{611 + 43 + 43 + 43 + 44 + 44}{22}$

Step 2.17

Add $611$ and $43$ .

$\frac{654 + 43 + 43 + 44 + 44}{22}$

Step 2.18

Add $654$ and $43$ .

$\frac{697 + 43 + 44 + 44}{22}$

Step 2.19

Add $697$ and $43$ .

$\frac{740 + 44 + 44}{22}$

Step 2.20

Add $740$ and $44$ .

$\frac{784 + 44}{22}$

Step 2.21

Add $784$ and $44$ .

$\frac{828}{22}$

Step 3

Cancel the common factor of $828$ and $22$ .

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Step 3.1

Factor $2$ out of $828$ .

$\frac{2 (414)}{22}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $22$ .

$\frac{2 \cdot 414}{2 \cdot 11}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 414}{2 \cdot 11}$

Step 3.2.3

Rewrite the expression.

$\frac{414}{11}$

Step 4

Divide.

$37.\overline{63}$

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.

$37.6$