Basic Math Examples

$44$ , $48$ , $50$ , $54$ , $56$ , $54$ , $50$ , $50$ , $44$ , $46$ , $42$ , $46$ , $52$ , $48$ , $46$ , $58$ , $50$ , $40$ , $46$ , $58$ , $54$ , $5$

Step 1

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

$\frac{44 + 48 + 50 + 54 + 56 + 54 + 50 + 50 + 44 + 46 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2

Simplify the numerator.

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Step 2.1

Add $44$ and $48$ .

$\frac{92 + 50 + 54 + 56 + 54 + 50 + 50 + 44 + 46 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.2

Add $92$ and $50$ .

$\frac{142 + 54 + 56 + 54 + 50 + 50 + 44 + 46 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.3

Add $142$ and $54$ .

$\frac{196 + 56 + 54 + 50 + 50 + 44 + 46 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.4

Add $196$ and $56$ .

$\frac{252 + 54 + 50 + 50 + 44 + 46 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.5

Add $252$ and $54$ .

$\frac{306 + 50 + 50 + 44 + 46 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.6

Add $306$ and $50$ .

$\frac{356 + 50 + 44 + 46 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.7

Add $356$ and $50$ .

$\frac{406 + 44 + 46 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.8

Add $406$ and $44$ .

$\frac{450 + 46 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.9

Add $450$ and $46$ .

$\frac{496 + 42 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.10

Add $496$ and $42$ .

$\frac{538 + 46 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.11

Add $538$ and $46$ .

$\frac{584 + 52 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.12

Add $584$ and $52$ .

$\frac{636 + 48 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.13

Add $636$ and $48$ .

$\frac{684 + 46 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.14

Add $684$ and $46$ .

$\frac{730 + 58 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.15

Add $730$ and $58$ .

$\frac{788 + 50 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.16

Add $788$ and $50$ .

$\frac{838 + 40 + 46 + 58 + 54 + 5}{22}$

Step 2.17

Add $838$ and $40$ .

$\frac{878 + 46 + 58 + 54 + 5}{22}$

Step 2.18

Add $878$ and $46$ .

$\frac{924 + 58 + 54 + 5}{22}$

Step 2.19

Add $924$ and $58$ .

$\frac{982 + 54 + 5}{22}$

Step 2.20

Add $982$ and $54$ .

$\frac{1036 + 5}{22}$

Step 2.21

Add $1036$ and $5$ .

$\frac{1041}{22}$

Step 3

Divide.

$47.3\overline{18}$

Step 4

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.

$47.3$