Basic Math Examples

$66$ , $40$ , $30$ , $30$ , $31$ , $26$ , $20$ , $20$ , $21$ , $21$ , $23$ , $24$ , $15$ , $17$ , $18$ , $10$ , $10$ , $11$ , $11$ , $13$ , $14$ , $14$ , $14$ , $14$ , $6$ , $9$ , $9$ , $9$

Step 1

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

$\frac{66 + 40 + 30 + 30 + 31 + 26 + 20 + 20 + 21 + 21 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2

Simplify the numerator.

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Step 2.1

Add $66$ and $40$ .

$\frac{106 + 30 + 30 + 31 + 26 + 20 + 20 + 21 + 21 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.2

Add $106$ and $30$ .

$\frac{136 + 30 + 31 + 26 + 20 + 20 + 21 + 21 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.3

Add $136$ and $30$ .

$\frac{166 + 31 + 26 + 20 + 20 + 21 + 21 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.4

Add $166$ and $31$ .

$\frac{197 + 26 + 20 + 20 + 21 + 21 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.5

Add $197$ and $26$ .

$\frac{223 + 20 + 20 + 21 + 21 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.6

Add $223$ and $20$ .

$\frac{243 + 20 + 21 + 21 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.7

Add $243$ and $20$ .

$\frac{263 + 21 + 21 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.8

Add $263$ and $21$ .

$\frac{284 + 21 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.9

Add $284$ and $21$ .

$\frac{305 + 23 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.10

Add $305$ and $23$ .

$\frac{328 + 24 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.11

Add $328$ and $24$ .

$\frac{352 + 15 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.12

Add $352$ and $15$ .

$\frac{367 + 17 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.13

Add $367$ and $17$ .

$\frac{384 + 18 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.14

Add $384$ and $18$ .

$\frac{402 + 10 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.15

Add $402$ and $10$ .

$\frac{412 + 10 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.16

Add $412$ and $10$ .

$\frac{422 + 11 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.17

Add $422$ and $11$ .

$\frac{433 + 11 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.18

Add $433$ and $11$ .

$\frac{444 + 13 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.19

Add $444$ and $13$ .

$\frac{457 + 14 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.20

Add $457$ and $14$ .

$\frac{471 + 14 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.21

Add $471$ and $14$ .

$\frac{485 + 14 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.22

Add $485$ and $14$ .

$\frac{499 + 14 + 6 + 9 + 9 + 9}{28}$

Step 2.23

Add $499$ and $14$ .

$\frac{513 + 6 + 9 + 9 + 9}{28}$

Step 2.24

Add $513$ and $6$ .

$\frac{519 + 9 + 9 + 9}{28}$

Step 2.25

Add $519$ and $9$ .

$\frac{528 + 9 + 9}{28}$

Step 2.26

Add $528$ and $9$ .

$\frac{537 + 9}{28}$

Step 2.27

Add $537$ and $9$ .

$\frac{546}{28}$

Step 3

Cancel the common factor of $546$ and $28$ .

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Step 3.1

Factor $14$ out of $546$ .

$\frac{14 (39)}{28}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $14$ out of $28$ .

$\frac{14 \cdot 39}{14 \cdot 2}$

Step 3.2.2

Cancel the common factor.

$\frac{14 \cdot 39}{14 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{39}{2}$

Step 4

Divide.

$19.5$