Basic Math Examples

$69$ , $70$ , $70$ , $72$ , $72$ , $75$ , $78$ , $78$ , $78$ , $80$ , $81$ , $85$ , $87$ , $90$ , $90$ , $91$ , $92$ , $92$ , $94$ , $8$ , $99$ , $99$

Step 1

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

$\frac{69 + 70 + 70 + 72 + 72 + 75 + 78 + 78 + 78 + 80 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Add $69$ and $70$ .

$\frac{139 + 70 + 72 + 72 + 75 + 78 + 78 + 78 + 80 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.2

Add $139$ and $70$ .

$\frac{209 + 72 + 72 + 75 + 78 + 78 + 78 + 80 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.3

Add $209$ and $72$ .

$\frac{281 + 72 + 75 + 78 + 78 + 78 + 80 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.4

Add $281$ and $72$ .

$\frac{353 + 75 + 78 + 78 + 78 + 80 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.5

Add $353$ and $75$ .

$\frac{428 + 78 + 78 + 78 + 80 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.6

Add $428$ and $78$ .

$\frac{506 + 78 + 78 + 80 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.7

Add $506$ and $78$ .

$\frac{584 + 78 + 80 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.8

Add $584$ and $78$ .

$\frac{662 + 80 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.9

Add $662$ and $80$ .

$\frac{742 + 81 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.10

Add $742$ and $81$ .

$\frac{823 + 85 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.11

Add $823$ and $85$ .

$\frac{908 + 87 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.12

Add $908$ and $87$ .

$\frac{995 + 90 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.13

Add $995$ and $90$ .

$\frac{1085 + 90 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.14

Add $1085$ and $90$ .

$\frac{1175 + 91 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.15

Add $1175$ and $91$ .

$\frac{1266 + 92 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.16

Add $1266$ and $92$ .

$\frac{1358 + 92 + 94 + 8 + 99 + 99}{22}$

Step 2.17

Add $1358$ and $92$ .

$\frac{1450 + 94 + 8 + 99 + 99}{22}$

Step 2.18

Add $1450$ and $94$ .

$\frac{1544 + 8 + 99 + 99}{22}$

Step 2.19

Add $1544$ and $8$ .

$\frac{1552 + 99 + 99}{22}$

Step 2.20

Add $1552$ and $99$ .

$\frac{1651 + 99}{22}$

Step 2.21

Add $1651$ and $99$ .

$\frac{1750}{22}$

Step 3

Cancel the common factor of $1750$ and $22$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $1750$ .

$\frac{2 (875)}{22}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $2$ out of $22$ .

$\frac{2 \cdot 875}{2 \cdot 11}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 875}{2 \cdot 11}$

Step 3.2.3

Rewrite the expression.

$\frac{875}{11}$

Step 4

Divide.

$79.\overline{54}$

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.

$79.5$