Basic Math Examples

$4$ , $8$ , $6$ , $7$ , $15$ , $12$ , $11$ , $10$ , $8$ , $4$ , $6$ , $9$ , $12$ , $12$ , $15$ , $15$ , $18$ , $16$ , $8$ , $12$ , $15$ , $4$ , $9$ , $12$

Step 1

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

$\frac{4 + 8 + 6 + 7 + 15 + 12 + 11 + 10 + 8 + 4 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2

Simplify the numerator.

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Step 2.1

Add $4$ and $8$ .

$\frac{12 + 6 + 7 + 15 + 12 + 11 + 10 + 8 + 4 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.2

Add $12$ and $6$ .

$\frac{18 + 7 + 15 + 12 + 11 + 10 + 8 + 4 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.3

Add $18$ and $7$ .

$\frac{25 + 15 + 12 + 11 + 10 + 8 + 4 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.4

Add $25$ and $15$ .

$\frac{40 + 12 + 11 + 10 + 8 + 4 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.5

Add $40$ and $12$ .

$\frac{52 + 11 + 10 + 8 + 4 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.6

Add $52$ and $11$ .

$\frac{63 + 10 + 8 + 4 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.7

Add $63$ and $10$ .

$\frac{73 + 8 + 4 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.8

Add $73$ and $8$ .

$\frac{81 + 4 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.9

Add $81$ and $4$ .

$\frac{85 + 6 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.10

Add $85$ and $6$ .

$\frac{91 + 9 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.11

Add $91$ and $9$ .

$\frac{100 + 12 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.12

Add $100$ and $12$ .

$\frac{112 + 12 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.13

Add $112$ and $12$ .

$\frac{124 + 15 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.14

Add $124$ and $15$ .

$\frac{139 + 15 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.15

Add $139$ and $15$ .

$\frac{154 + 18 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.16

Add $154$ and $18$ .

$\frac{172 + 16 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.17

Add $172$ and $16$ .

$\frac{188 + 8 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.18

Add $188$ and $8$ .

$\frac{196 + 12 + 15 + 4 + 9 + 12}{24}$

Step 2.19

Add $196$ and $12$ .

$\frac{208 + 15 + 4 + 9 + 12}{24}$

Step 2.20

Add $208$ and $15$ .

$\frac{223 + 4 + 9 + 12}{24}$

Step 2.21

Add $223$ and $4$ .

$\frac{227 + 9 + 12}{24}$

Step 2.22

Add $227$ and $9$ .

$\frac{236 + 12}{24}$

Step 2.23

Add $236$ and $12$ .

$\frac{248}{24}$

Step 3

Cancel the common factor of $248$ and $24$ .

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Step 3.1

Factor $8$ out of $248$ .

$\frac{8 (31)}{24}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $8$ out of $24$ .

$\frac{8 \cdot 31}{8 \cdot 3}$

Step 3.2.2

Cancel the common factor.

$\frac{8 \cdot 31}{8 \cdot 3}$

Step 3.2.3

Rewrite the expression.

$\frac{31}{3}$

Step 4

Divide.

$10.\overline{3}$

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.

$10.3$