Basic Math Examples

12

$12$ ,

23

$23$ ,

45

$45$ ,

45

$45$ ,

56

$56$ ,

65

$65$ ,

78

$78$ ,

87

$87$ ,

98

$98$

Step 1

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

\frac{12 + 23 + 45 + 45 + 56 + 65 + 78 + 87 + 98}{9}

$\frac{12 + 23 + 45 + 45 + 56 + 65 + 78 + 87 + 98}{9}$

Step 2

Simplify the numerator.

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Step 2.1

Add

12

$12$ and

23

$23$ .

\frac{35 + 45 + 45 + 56 + 65 + 78 + 87 + 98}{9}

$\frac{35 + 45 + 45 + 56 + 65 + 78 + 87 + 98}{9}$

Step 2.2

Add

35

$35$ and

45

$45$ .

\frac{80 + 45 + 56 + 65 + 78 + 87 + 98}{9}

$\frac{80 + 45 + 56 + 65 + 78 + 87 + 98}{9}$

Step 2.3

Add

80

$80$ and

45

$45$ .

\frac{125 + 56 + 65 + 78 + 87 + 98}{9}

$\frac{125 + 56 + 65 + 78 + 87 + 98}{9}$

Step 2.4

Add

125

$125$ and

56

$56$ .

\frac{181 + 65 + 78 + 87 + 98}{9}

$\frac{181 + 65 + 78 + 87 + 98}{9}$

Step 2.5

Add

181

$181$ and

65

$65$ .

\frac{246 + 78 + 87 + 98}{9}

$\frac{246 + 78 + 87 + 98}{9}$

Step 2.6

Add

246

$246$ and

78

$78$ .

\frac{324 + 87 + 98}{9}

$\frac{324 + 87 + 98}{9}$

Step 2.7

Add

324

$324$ and

87

$87$ .

\frac{411 + 98}{9}

$\frac{411 + 98}{9}$

Step 2.8

Add

411

$411$ and

98

$98$ .

\frac{509}{9}

$\frac{509}{9}$

\frac{509}{9}

$\frac{509}{9}$

Step 3

Divide.

56.\overline{5}

$56.\overline{5}$

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.

56.6

$56.6$

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