Basic Math Examples

$180$ , $104$ , $109$ , $103$ , $94$ , $96$ , $105$ , $97$ , $105$ , $99$ , $96$ , $100$ , $115$ , $115$ , $95$ , $114$ , $118$ , $107$ , $94$ , $99$ , $91$ , $100$ , $103$ , $94$

Step 1

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

$\frac{180 + 104 + 109 + 103 + 94 + 96 + 105 + 97 + 105 + 99 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2

Simplify the numerator.

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Step 2.1

Add $180$ and $104$ .

$\frac{284 + 109 + 103 + 94 + 96 + 105 + 97 + 105 + 99 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.2

Add $284$ and $109$ .

$\frac{393 + 103 + 94 + 96 + 105 + 97 + 105 + 99 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.3

Add $393$ and $103$ .

$\frac{496 + 94 + 96 + 105 + 97 + 105 + 99 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.4

Add $496$ and $94$ .

$\frac{590 + 96 + 105 + 97 + 105 + 99 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.5

Add $590$ and $96$ .

$\frac{686 + 105 + 97 + 105 + 99 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.6

Add $686$ and $105$ .

$\frac{791 + 97 + 105 + 99 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.7

Add $791$ and $97$ .

$\frac{888 + 105 + 99 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.8

Add $888$ and $105$ .

$\frac{993 + 99 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.9

Add $993$ and $99$ .

$\frac{1092 + 96 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.10

Add $1092$ and $96$ .

$\frac{1188 + 100 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.11

Add $1188$ and $100$ .

$\frac{1288 + 115 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.12

Add $1288$ and $115$ .

$\frac{1403 + 115 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.13

Add $1403$ and $115$ .

$\frac{1518 + 95 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.14

Add $1518$ and $95$ .

$\frac{1613 + 114 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.15

Add $1613$ and $114$ .

$\frac{1727 + 118 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.16

Add $1727$ and $118$ .

$\frac{1845 + 107 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.17

Add $1845$ and $107$ .

$\frac{1952 + 94 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.18

Add $1952$ and $94$ .

$\frac{2046 + 99 + 91 + 100 + 103 + 94}{24}$

Step 2.19

Add $2046$ and $99$ .

$\frac{2145 + 91 + 100 + 103 + 94}{24}$

Step 2.20

Add $2145$ and $91$ .

$\frac{2236 + 100 + 103 + 94}{24}$

Step 2.21

Add $2236$ and $100$ .

$\frac{2336 + 103 + 94}{24}$

Step 2.22

Add $2336$ and $103$ .

$\frac{2439 + 94}{24}$

Step 2.23

Add $2439$ and $94$ .

$\frac{2533}{24}$

Step 3

Divide.

$105.541\overline{6}$

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.

$105.5$