Basic Math Examples

5.4

$5.4$ ,

6.3

$6.3$ ,

6.4

$6.4$ ,

6.8

$6.8$ ,

7

$7$ ,

7.5

$7.5$ ,

7.9

$7.9$ ,

8.9

$8.9$

Step 1

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

\frac{5.4 + 6.3 + 6.4 + 6.8 + 7 + 7.5 + 7.9 + 8.9}{8}

$\frac{5.4 + 6.3 + 6.4 + 6.8 + 7 + 7.5 + 7.9 + 8.9}{8}$

Step 2

Simplify the numerator.

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Step 2.1

Add

5.4

$5.4$ and

6.3

$6.3$ .

\frac{11.7 + 6.4 + 6.8 + 7 + 7.5 + 7.9 + 8.9}{8}

$\frac{11.7 + 6.4 + 6.8 + 7 + 7.5 + 7.9 + 8.9}{8}$

Step 2.2

Add

11.7

$11.7$ and

6.4

$6.4$ .

\frac{18.1 + 6.8 + 7 + 7.5 + 7.9 + 8.9}{8}

$\frac{18.1 + 6.8 + 7 + 7.5 + 7.9 + 8.9}{8}$

Step 2.3

Add

18.1

$18.1$ and

6.8

$6.8$ .

\frac{24.9 + 7 + 7.5 + 7.9 + 8.9}{8}

$\frac{24.9 + 7 + 7.5 + 7.9 + 8.9}{8}$

Step 2.4

Add

24.9

$24.9$ and

7

$7$ .

\frac{31.9 + 7.5 + 7.9 + 8.9}{8}

$\frac{31.9 + 7.5 + 7.9 + 8.9}{8}$

Step 2.5

Add

31.9

$31.9$ and

7.5

$7.5$ .

\frac{39.4 + 7.9 + 8.9}{8}

$\frac{39.4 + 7.9 + 8.9}{8}$

Step 2.6

Add

39.4

$39.4$ and

7.9

$7.9$ .

\frac{47.3 + 8.9}{8}

$\frac{47.3 + 8.9}{8}$

Step 2.7

Add

47.3

$47.3$ and

8.9

$8.9$ .

\frac{56.2}{8}

$\frac{56.2}{8}$

\frac{56.2}{8}

$\frac{56.2}{8}$

Step 3

Divide

56.2

$56.2$ by

8

$8$ .

7.025

$7.025$

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.

7.03

$7.03$