Basic Math Examples

$47$ , $52$ , $56$ , $58$ , $62$ , $63$ , $63$ , $65$ , $65$ , $70$ , $72$ , $74$ , $74$ , $74$ , $74$ , $76$ , $76$ , $78$ , $78$ , $79$ , $80$ , $81$ , $82$ , $83$ , $85$ , $90$ , $92$ , $94$ , $94$ , $98$

Step 1

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

$\frac{47 + 52 + 56 + 58 + 62 + 63 + 63 + 65 + 65 + 70 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2

Simplify the numerator.

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Step 2.1

Add $47$ and $52$ .

$\frac{99 + 56 + 58 + 62 + 63 + 63 + 65 + 65 + 70 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.2

Add $99$ and $56$ .

$\frac{155 + 58 + 62 + 63 + 63 + 65 + 65 + 70 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.3

Add $155$ and $58$ .

$\frac{213 + 62 + 63 + 63 + 65 + 65 + 70 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.4

Add $213$ and $62$ .

$\frac{275 + 63 + 63 + 65 + 65 + 70 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.5

Add $275$ and $63$ .

$\frac{338 + 63 + 65 + 65 + 70 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.6

Add $338$ and $63$ .

$\frac{401 + 65 + 65 + 70 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.7

Add $401$ and $65$ .

$\frac{466 + 65 + 70 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.8

Add $466$ and $65$ .

$\frac{531 + 70 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.9

Add $531$ and $70$ .

$\frac{601 + 72 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.10

Add $601$ and $72$ .

$\frac{673 + 74 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.11

Add $673$ and $74$ .

$\frac{747 + 74 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.12

Add $747$ and $74$ .

$\frac{821 + 74 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.13

Add $821$ and $74$ .

$\frac{895 + 74 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.14

Add $895$ and $74$ .

$\frac{969 + 76 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.15

Add $969$ and $76$ .

$\frac{1045 + 76 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.16

Add $1045$ and $76$ .

$\frac{1121 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.17

Add $1121$ and $78$ .

$\frac{1199 + 78 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.18

Add $1199$ and $78$ .

$\frac{1277 + 79 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.19

Add $1277$ and $79$ .

$\frac{1356 + 80 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.20

Add $1356$ and $80$ .

$\frac{1436 + 81 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.21

Add $1436$ and $81$ .

$\frac{1517 + 82 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.22

Add $1517$ and $82$ .

$\frac{1599 + 83 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.23

Add $1599$ and $83$ .

$\frac{1682 + 85 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.24

Add $1682$ and $85$ .

$\frac{1767 + 90 + 92 + 94 + 94 + 98}{30}$

Step 2.25

Add $1767$ and $90$ .

$\frac{1857 + 92 + 94 + 94 + 98}{30}$

Step 2.26

Add $1857$ and $92$ .

$\frac{1949 + 94 + 94 + 98}{30}$

Step 2.27

Add $1949$ and $94$ .

$\frac{2043 + 94 + 98}{30}$

Step 2.28

Add $2043$ and $94$ .

$\frac{2137 + 98}{30}$

Step 2.29

Add $2137$ and $98$ .

$\frac{2235}{30}$

Step 3

Cancel the common factor of $2235$ and $30$ .

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Step 3.1

Factor $15$ out of $2235$ .

$\frac{15 (149)}{30}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $15$ out of $30$ .

$\frac{15 \cdot 149}{15 \cdot 2}$

Step 3.2.2

Cancel the common factor.

$\frac{15 \cdot 149}{15 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{149}{2}$

Step 4

Divide.

$74.5$