Basic Math Examples

$16$ , $19$ , $23$ , $23$ , $25$ , $26$ , $29$ , $31$ , $32$ , $32$ , $33$ , $34$ , $34$ , $36$ , $37$ , $38$ , $39$ , $40$ , $40$

Step 1

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

$\frac{16 + 19 + 23 + 23 + 25 + 26 + 29 + 31 + 32 + 32 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2

Simplify the numerator.

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Step 2.1

Add $16$ and $19$ .

$\frac{35 + 23 + 23 + 25 + 26 + 29 + 31 + 32 + 32 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.2

Add $35$ and $23$ .

$\frac{58 + 23 + 25 + 26 + 29 + 31 + 32 + 32 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.3

Add $58$ and $23$ .

$\frac{81 + 25 + 26 + 29 + 31 + 32 + 32 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.4

Add $81$ and $25$ .

$\frac{106 + 26 + 29 + 31 + 32 + 32 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.5

Add $106$ and $26$ .

$\frac{132 + 29 + 31 + 32 + 32 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.6

Add $132$ and $29$ .

$\frac{161 + 31 + 32 + 32 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.7

Add $161$ and $31$ .

$\frac{192 + 32 + 32 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.8

Add $192$ and $32$ .

$\frac{224 + 32 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.9

Add $224$ and $32$ .

$\frac{256 + 33 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.10

Add $256$ and $33$ .

$\frac{289 + 34 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.11

Add $289$ and $34$ .

$\frac{323 + 34 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.12

Add $323$ and $34$ .

$\frac{357 + 36 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.13

Add $357$ and $36$ .

$\frac{393 + 37 + 38 + 39 + 40 + 40}{19}$

Step 2.14

Add $393$ and $37$ .

$\frac{430 + 38 + 39 + 40 + 40}{19}$

Step 2.15

Add $430$ and $38$ .

$\frac{468 + 39 + 40 + 40}{19}$

Step 2.16

Add $468$ and $39$ .

$\frac{507 + 40 + 40}{19}$

Step 2.17

Add $507$ and $40$ .

$\frac{547 + 40}{19}$

Step 2.18

Add $547$ and $40$ .

$\frac{587}{19}$

Step 3

Divide.

$30.89473684$

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.

$30.9$