Basic Math Examples

44

$44$ ,

43

$43$ ,

36

$36$ ,

32

$32$ ,

50

$50$ ,

44

$44$ ,

47

$47$ ,

37

$37$ ,

32

$32$ ,

45

$45$ ,

33

$33$ ,

44

$44$

Step 1

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

\frac{44 + 43 + 36 + 32 + 50 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}

$\frac{44 + 43 + 36 + 32 + 50 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}$

Step 2

Simplify the numerator.

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Step 2.1

Add

44

$44$ and

43

$43$ .

\frac{87 + 36 + 32 + 50 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}

$\frac{87 + 36 + 32 + 50 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}$

Step 2.2

Add

87

$87$ and

36

$36$ .

\frac{123 + 32 + 50 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}

$\frac{123 + 32 + 50 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}$

Step 2.3

Add

123

$123$ and

32

$32$ .

\frac{155 + 50 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}

$\frac{155 + 50 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}$

Step 2.4

Add

155

$155$ and

50

$50$ .

\frac{205 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}

$\frac{205 + 44 + 47 + 37 + 32 + 45 + 33 + 44}{12}$

Step 2.5

Add

205

$205$ and

44

$44$ .

\frac{249 + 47 + 37 + 32 + 45 + 33 + 44}{12}

$\frac{249 + 47 + 37 + 32 + 45 + 33 + 44}{12}$

Step 2.6

Add

249

$249$ and

47

$47$ .

\frac{296 + 37 + 32 + 45 + 33 + 44}{12}

$\frac{296 + 37 + 32 + 45 + 33 + 44}{12}$

Step 2.7

Add

296

$296$ and

37

$37$ .

\frac{333 + 32 + 45 + 33 + 44}{12}

$\frac{333 + 32 + 45 + 33 + 44}{12}$

Step 2.8

Add

333

$333$ and

32

$32$ .

\frac{365 + 45 + 33 + 44}{12}

$\frac{365 + 45 + 33 + 44}{12}$

Step 2.9

Add

365

$365$ and

45

$45$ .

\frac{410 + 33 + 44}{12}

$\frac{410 + 33 + 44}{12}$

Step 2.10

Add

410

$410$ and

33

$33$ .

\frac{443 + 44}{12}

$\frac{443 + 44}{12}$

Step 2.11

Add

443

$443$ and

44

$44$ .

\frac{487}{12}

$\frac{487}{12}$

\frac{487}{12}

$\frac{487}{12}$

Step 3

Divide.

40.58 ¯ 3

$40.58\overline{3}$

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.

40.6

$40.6$