Basic Math Examples

$47$ , $52$ , $55$ , $58$ , $62$ , $63$ , $63$ , $64$ , $64$ , $69$ , $69$ , $70$ , $72$ , $73$ , $73$ , $75$ , $78$ , $78$ , $78$ , $79$ , $80$ , $81$ , $82$ , $83$ , $84$ , $89$ , $89$ , $90$ , $92$ , $93$ , $93$ , $98$

Step 1

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

$\frac{47 + 52 + 55 + 58 + 62 + 63 + 63 + 64 + 64 + 69 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2

Simplify the numerator.

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Step 2.1

Add $47$ and $52$ .

$\frac{99 + 55 + 58 + 62 + 63 + 63 + 64 + 64 + 69 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.2

Add $99$ and $55$ .

$\frac{154 + 58 + 62 + 63 + 63 + 64 + 64 + 69 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.3

Add $154$ and $58$ .

$\frac{212 + 62 + 63 + 63 + 64 + 64 + 69 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.4

Add $212$ and $62$ .

$\frac{274 + 63 + 63 + 64 + 64 + 69 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.5

Add $274$ and $63$ .

$\frac{337 + 63 + 64 + 64 + 69 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.6

Add $337$ and $63$ .

$\frac{400 + 64 + 64 + 69 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.7

Add $400$ and $64$ .

$\frac{464 + 64 + 69 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.8

Add $464$ and $64$ .

$\frac{528 + 69 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.9

Add $528$ and $69$ .

$\frac{597 + 69 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.10

Add $597$ and $69$ .

$\frac{666 + 70 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.11

Add $666$ and $70$ .

$\frac{736 + 72 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.12

Add $736$ and $72$ .

$\frac{808 + 73 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.13

Add $808$ and $73$ .

$\frac{881 + 73 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.14

Add $881$ and $73$ .

$\frac{954 + 75 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.15

Add $954$ and $75$ .

$\frac{1029 + 78 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.16

Add $1029$ and $78$ .

$\frac{1107 + 78 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.17

Add $1107$ and $78$ .

$\frac{1185 + 78 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.18

Add $1185$ and $78$ .

$\frac{1263 + 79 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.19

Add $1263$ and $79$ .

$\frac{1342 + 80 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.20

Add $1342$ and $80$ .

$\frac{1422 + 81 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.21

Add $1422$ and $81$ .

$\frac{1503 + 82 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.22

Add $1503$ and $82$ .

$\frac{1585 + 83 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.23

Add $1585$ and $83$ .

$\frac{1668 + 84 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.24

Add $1668$ and $84$ .

$\frac{1752 + 89 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.25

Add $1752$ and $89$ .

$\frac{1841 + 89 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.26

Add $1841$ and $89$ .

$\frac{1930 + 90 + 92 + 93 + 93 + 98}{32}$

Step 2.27

Add $1930$ and $90$ .

$\frac{2020 + 92 + 93 + 93 + 98}{32}$

Step 2.28

Add $2020$ and $92$ .

$\frac{2112 + 93 + 93 + 98}{32}$

Step 2.29

Add $2112$ and $93$ .

$\frac{2205 + 93 + 98}{32}$

Step 2.30

Add $2205$ and $93$ .

$\frac{2298 + 98}{32}$

Step 2.31

Add $2298$ and $98$ .

$\frac{2396}{32}$

Step 3

Cancel the common factor of $2396$ and $32$ .

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Step 3.1

Factor $4$ out of $2396$ .

$\frac{4 (599)}{32}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4$ out of $32$ .

$\frac{4 \cdot 599}{4 \cdot 8}$

Step 3.2.2

Cancel the common factor.

$\frac{4 \cdot 599}{4 \cdot 8}$

Step 3.2.3

Rewrite the expression.

$\frac{599}{8}$

Step 4

Divide.

$74.875$

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.

$74.9$