Basic Math Examples

$2$ , $18$ , $26$ , $29$ , $54$ , $14$ , $4$ , $1$ , $1$ , $6$ , $73$ , $2$ , $7$ , $19$ , $1$ , $12$ , $12$ , $31$ , $15$ , $3$ , $3$ , $16$ , $20$ , $1$

Step 1

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

$\frac{2 + 18 + 26 + 29 + 54 + 14 + 4 + 1 + 1 + 6 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2

Simplify the numerator.

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Step 2.1

Add $2$ and $18$ .

$\frac{20 + 26 + 29 + 54 + 14 + 4 + 1 + 1 + 6 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.2

Add $20$ and $26$ .

$\frac{46 + 29 + 54 + 14 + 4 + 1 + 1 + 6 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.3

Add $46$ and $29$ .

$\frac{75 + 54 + 14 + 4 + 1 + 1 + 6 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.4

Add $75$ and $54$ .

$\frac{129 + 14 + 4 + 1 + 1 + 6 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.5

Add $129$ and $14$ .

$\frac{143 + 4 + 1 + 1 + 6 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.6

Add $143$ and $4$ .

$\frac{147 + 1 + 1 + 6 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.7

Add $147$ and $1$ .

$\frac{148 + 1 + 6 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.8

Add $148$ and $1$ .

$\frac{149 + 6 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.9

Add $149$ and $6$ .

$\frac{155 + 73 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.10

Add $155$ and $73$ .

$\frac{228 + 2 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.11

Add $228$ and $2$ .

$\frac{230 + 7 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.12

Add $230$ and $7$ .

$\frac{237 + 19 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.13

Add $237$ and $19$ .

$\frac{256 + 1 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.14

Add $256$ and $1$ .

$\frac{257 + 12 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.15

Add $257$ and $12$ .

$\frac{269 + 12 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.16

Add $269$ and $12$ .

$\frac{281 + 31 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.17

Add $281$ and $31$ .

$\frac{312 + 15 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.18

Add $312$ and $15$ .

$\frac{327 + 3 + 3 + 16 + 20 + 1}{24}$

Step 2.19

Add $327$ and $3$ .

$\frac{330 + 3 + 16 + 20 + 1}{24}$

Step 2.20

Add $330$ and $3$ .

$\frac{333 + 16 + 20 + 1}{24}$

Step 2.21

Add $333$ and $16$ .

$\frac{349 + 20 + 1}{24}$

Step 2.22

Add $349$ and $20$ .

$\frac{369 + 1}{24}$

Step 2.23

Add $369$ and $1$ .

$\frac{370}{24}$

Step 3

Cancel the common factor of $370$ and $24$ .

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Step 3.1

Factor $2$ out of $370$ .

$\frac{2 (185)}{24}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $24$ .

$\frac{2 \cdot 185}{2 \cdot 12}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 185}{2 \cdot 12}$

Step 3.2.3

Rewrite the expression.

$\frac{185}{12}$

Step 4

Divide.

$15.41\overline{6}$

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.

$15.4$