Basic Math Examples

72

$72$ ,

71

$71$ ,

70

$70$ ,

70

$70$ ,

70

$70$ ,

69

$69$ ,

69

$69$ ,

69

$69$ ,

69

$69$ ,

69

$69$ ,

68

$68$ ,

68

$68$ ,

68

$68$ ,

67

$67$ ,

67

$67$

Step 1

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

\frac{72 + 71 + 70 + 70 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{72 + 71 + 70 + 70 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2

Simplify the numerator.

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Step 2.1

Add

72

$72$ and

71

$71$ .

\frac{143 + 70 + 70 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{143 + 70 + 70 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2.2

Add

143

$143$ and

70

$70$ .

\frac{213 + 70 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{213 + 70 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2.3

Add

213

$213$ and

70

$70$ .

\frac{283 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{283 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2.4

Add

283

$283$ and

70

$70$ .

\frac{353 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{353 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2.5

Add

353

$353$ and

69

$69$ .

\frac{422 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{422 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2.6

Add

422

$422$ and

69

$69$ .

\frac{491 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{491 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2.7

Add

491

$491$ and

69

$69$ .

\frac{560 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{560 + 69 + 69 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2.8

Add

560

$560$ and

69

$69$ .

\frac{629 + 69 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{629 + 69 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2.9

Add

629

$629$ and

69

$69$ .

\frac{698 + 68 + 68 + 68 + 67 + 67}{15}

$\frac{698 + 68 + 68 + 68 + 67 + 67}{15}$

Step 2.10

Add

698

$698$ and

68

$68$ .

\frac{766 + 68 + 68 + 67 + 67}{15}

$\frac{766 + 68 + 68 + 67 + 67}{15}$

Step 2.11

Add

766

$766$ and

68

$68$ .

\frac{834 + 68 + 67 + 67}{15}

$\frac{834 + 68 + 67 + 67}{15}$

Step 2.12

Add

834

$834$ and

68

$68$ .

\frac{902 + 67 + 67}{15}

$\frac{902 + 67 + 67}{15}$

Step 2.13

Add

902

$902$ and

67

$67$ .

\frac{969 + 67}{15}

$\frac{969 + 67}{15}$

Step 2.14

Add

969

$969$ and

67

$67$ .

\frac{1036}{15}

$\frac{1036}{15}$

\frac{1036}{15}

$\frac{1036}{15}$

Step 3

Divide.

69.0\overline{6}

$69.0\overline{6}$

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.

69.1

$69.1$