Basic Math Examples

90

$90$ ,

88

$88$ ,

100

$100$ ,

97

$97$ ,

90

$90$ ,

95

$95$

Step 1

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

\frac{90 + 88 + 100 + 97 + 90 + 95}{6}

$\frac{90 + 88 + 100 + 97 + 90 + 95}{6}$

Step 2

Simplify the numerator.

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Step 2.1

Add

90

$90$ and

88

$88$ .

\frac{178 + 100 + 97 + 90 + 95}{6}

$\frac{178 + 100 + 97 + 90 + 95}{6}$

Step 2.2

Add

178

$178$ and

100

$100$ .

\frac{278 + 97 + 90 + 95}{6}

$\frac{278 + 97 + 90 + 95}{6}$

Step 2.3

Add

278

$278$ and

97

$97$ .

\frac{375 + 90 + 95}{6}

$\frac{375 + 90 + 95}{6}$

Step 2.4

Add

375

$375$ and

90

$90$ .

\frac{465 + 95}{6}

$\frac{465 + 95}{6}$

Step 2.5

Add

465

$465$ and

95

$95$ .

\frac{560}{6}

$\frac{560}{6}$

\frac{560}{6}

$\frac{560}{6}$

Step 3

Cancel the common factor of

560

$560$ and

6

$6$ .

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Step 3.1

Factor

2

$2$ out of

560

$560$ .

\frac{2 (280)}{6}

$\frac{2 (280)}{6}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

2

$2$ out of

6

$6$ .

\frac{2 \cdot 280}{2 \cdot 3}

$\frac{2 \cdot 280}{2 \cdot 3}$

Step 3.2.2

Cancel the common factor.

\frac{2 \cdot 280}{2 \cdot 3}

$\frac{2 \cdot 280}{2 \cdot 3}$

Step 3.2.3

Rewrite the expression.

\frac{280}{3}

$\frac{280}{3}$

\frac{280}{3}

$\frac{280}{3}$

\frac{280}{3}

$\frac{280}{3}$

Step 4

Divide.

93.\overline{3}

$93.\overline{3}$

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.

93.3

$93.3$