Basic Math Examples

$56$ , $45$ , $78$ , $98$ , $64$ , $56$ , $79$ , $80$ , $97$ , $47$ , $59$ , $86$ , $67$ , $52$ , $41$ , $70$ , $82$ , $52$ , $40$ , $64$ , $61$ , $80$

Step 1

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

$\frac{56 + 45 + 78 + 98 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2

Simplify the numerator.

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Step 2.1

Add $56$ and $45$ .

$\frac{101 + 78 + 98 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.2

Add $101$ and $78$ .

$\frac{179 + 98 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.3

Add $179$ and $98$ .

$\frac{277 + 64 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.4

Add $277$ and $64$ .

$\frac{341 + 56 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.5

Add $341$ and $56$ .

$\frac{397 + 79 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.6

Add $397$ and $79$ .

$\frac{476 + 80 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.7

Add $476$ and $80$ .

$\frac{556 + 97 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.8

Add $556$ and $97$ .

$\frac{653 + 47 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.9

Add $653$ and $47$ .

$\frac{700 + 59 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.10

Add $700$ and $59$ .

$\frac{759 + 86 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.11

Add $759$ and $86$ .

$\frac{845 + 67 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.12

Add $845$ and $67$ .

$\frac{912 + 52 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.13

Add $912$ and $52$ .

$\frac{964 + 41 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.14

Add $964$ and $41$ .

$\frac{1005 + 70 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.15

Add $1005$ and $70$ .

$\frac{1075 + 82 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.16

Add $1075$ and $82$ .

$\frac{1157 + 52 + 40 + 64 + 61 + 80}{22}$

Step 2.17

Add $1157$ and $52$ .

$\frac{1209 + 40 + 64 + 61 + 80}{22}$

Step 2.18

Add $1209$ and $40$ .

$\frac{1249 + 64 + 61 + 80}{22}$

Step 2.19

Add $1249$ and $64$ .

$\frac{1313 + 61 + 80}{22}$

Step 2.20

Add $1313$ and $61$ .

$\frac{1374 + 80}{22}$

Step 2.21

Add $1374$ and $80$ .

$\frac{1454}{22}$

Step 3

Cancel the common factor of $1454$ and $22$ .

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Step 3.1

Factor $2$ out of $1454$ .

$\frac{2 (727)}{22}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $22$ .

$\frac{2 \cdot 727}{2 \cdot 11}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 727}{2 \cdot 11}$

Step 3.2.3

Rewrite the expression.

$\frac{727}{11}$

Step 4

Divide.

$66.\overline{09}$

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.

$66.1$