Finite Math Examples

$42$ , $41$ , $36$ , $32$ , $41$ , $33$ , $31$ , $31$ , $74$ , $33$ , $49$ , $38$ , $61$ , $21$ , $41$ , $26$ , $80$ , $42$ , $29$ , $33$ , $36$ , $45$ , $49$ , $39$ , $34$ , $26$ , $25$ , $33$ , $35$ , $28$ , $30$ , $29$ , $61$ , $32$ , $33$ , $45$

Step 1

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

$\frac{42 + 41 + 36 + 32 + 41 + 33 + 31 + 31 + 74 + 33 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2

Simplify the numerator.

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Step 2.1

Add $42$ and $41$ .

$\frac{83 + 36 + 32 + 41 + 33 + 31 + 31 + 74 + 33 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.2

Add $83$ and $36$ .

$\frac{119 + 32 + 41 + 33 + 31 + 31 + 74 + 33 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.3

Add $119$ and $32$ .

$\frac{151 + 41 + 33 + 31 + 31 + 74 + 33 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.4

Add $151$ and $41$ .

$\frac{192 + 33 + 31 + 31 + 74 + 33 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.5

Add $192$ and $33$ .

$\frac{225 + 31 + 31 + 74 + 33 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.6

Add $225$ and $31$ .

$\frac{256 + 31 + 74 + 33 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.7

Add $256$ and $31$ .

$\frac{287 + 74 + 33 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.8

Add $287$ and $74$ .

$\frac{361 + 33 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.9

Add $361$ and $33$ .

$\frac{394 + 49 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.10

Add $394$ and $49$ .

$\frac{443 + 38 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.11

Add $443$ and $38$ .

$\frac{481 + 61 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.12

Add $481$ and $61$ .

$\frac{542 + 21 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.13

Add $542$ and $21$ .

$\frac{563 + 41 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.14

Add $563$ and $41$ .

$\frac{604 + 26 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.15

Add $604$ and $26$ .

$\frac{630 + 80 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.16

Add $630$ and $80$ .

$\frac{710 + 42 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.17

Add $710$ and $42$ .

$\frac{752 + 29 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.18

Add $752$ and $29$ .

$\frac{781 + 33 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.19

Add $781$ and $33$ .

$\frac{814 + 36 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.20

Add $814$ and $36$ .

$\frac{850 + 45 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.21

Add $850$ and $45$ .

$\frac{895 + 49 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.22

Add $895$ and $49$ .

$\frac{944 + 39 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.23

Add $944$ and $39$ .

$\frac{983 + 34 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.24

Add $983$ and $34$ .

$\frac{1017 + 26 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.25

Add $1017$ and $26$ .

$\frac{1043 + 25 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.26

Add $1043$ and $25$ .

$\frac{1068 + 33 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.27

Add $1068$ and $33$ .

$\frac{1101 + 35 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.28

Add $1101$ and $35$ .

$\frac{1136 + 28 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.29

Add $1136$ and $28$ .

$\frac{1164 + 30 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.30

Add $1164$ and $30$ .

$\frac{1194 + 29 + 61 + 32 + 33 + 45}{36}$

Step 2.31

Add $1194$ and $29$ .

$\frac{1223 + 61 + 32 + 33 + 45}{36}$

Step 2.32

Add $1223$ and $61$ .

$\frac{1284 + 32 + 33 + 45}{36}$

Step 2.33

Add $1284$ and $32$ .

$\frac{1316 + 33 + 45}{36}$

Step 2.34

Add $1316$ and $33$ .

$\frac{1349 + 45}{36}$

Step 2.35

Add $1349$ and $45$ .

$\frac{1394}{36}$

Step 3

Cancel the common factor of $1394$ and $36$ .

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Step 3.1

Factor $2$ out of $1394$ .

$\frac{2 (697)}{36}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $36$ .

$\frac{2 \cdot 697}{2 \cdot 18}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 697}{2 \cdot 18}$

Step 3.2.3

Rewrite the expression.

$\frac{697}{18}$

Step 4

Divide.

$38.7\overline{2}$

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.

$38.7$