Basic Math Examples

20

$20$ ,

30

$30$ ,

35

$35$ ,

24

$24$ ,

36

$36$ ,

47

$47$ ,

48

$48$ ,

50

$50$ ,

23

$23$ ,

21

$21$ ,

23

$23$ ,

36

$36$

Step 1

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

\frac{20 + 30 + 35 + 24 + 36 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}

$\frac{20 + 30 + 35 + 24 + 36 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}$

Step 2

Simplify the numerator.

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Step 2.1

Add

20

$20$ and

30

$30$ .

\frac{50 + 35 + 24 + 36 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}

$\frac{50 + 35 + 24 + 36 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}$

Step 2.2

Add

50

$50$ and

35

$35$ .

\frac{85 + 24 + 36 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}

$\frac{85 + 24 + 36 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}$

Step 2.3

Add

85

$85$ and

24

$24$ .

\frac{109 + 36 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}

$\frac{109 + 36 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}$

Step 2.4

Add

109

$109$ and

36

$36$ .

\frac{145 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}

$\frac{145 + 47 + 48 + 50 + 23 + 21 + 23 + 36}{12}$

Step 2.5

Add

145

$145$ and

47

$47$ .

\frac{192 + 48 + 50 + 23 + 21 + 23 + 36}{12}

$\frac{192 + 48 + 50 + 23 + 21 + 23 + 36}{12}$

Step 2.6

Add

192

$192$ and

48

$48$ .

\frac{240 + 50 + 23 + 21 + 23 + 36}{12}

$\frac{240 + 50 + 23 + 21 + 23 + 36}{12}$

Step 2.7

Add

240

$240$ and

50

$50$ .

\frac{290 + 23 + 21 + 23 + 36}{12}

$\frac{290 + 23 + 21 + 23 + 36}{12}$

Step 2.8

Add

290

$290$ and

23

$23$ .

\frac{313 + 21 + 23 + 36}{12}

$\frac{313 + 21 + 23 + 36}{12}$

Step 2.9

Add

313

$313$ and

21

$21$ .

\frac{334 + 23 + 36}{12}

$\frac{334 + 23 + 36}{12}$

Step 2.10

Add

334

$334$ and

23

$23$ .

\frac{357 + 36}{12}

$\frac{357 + 36}{12}$

Step 2.11

Add

357

$357$ and

36

$36$ .

\frac{393}{12}

$\frac{393}{12}$

\frac{393}{12}

$\frac{393}{12}$

Step 3

Cancel the common factor of

393

$393$ and

12

$12$ .

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Step 3.1

Factor

3

$3$ out of

393

$393$ .

\frac{3 (131)}{12}

$\frac{3 (131)}{12}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

3

$3$ out of

12

$12$ .

\frac{3 \cdot 131}{3 \cdot 4}

$\frac{3 \cdot 131}{3 \cdot 4}$

Step 3.2.2

Cancel the common factor.

$\frac{3 \cdot 131}{3 \cdot 4}$

Step 3.2.3

Rewrite the expression.

$\frac{131}{4}$

Step 4

Divide.

$32.75$

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.

$32.8$