Basic Math Examples

7.8

$7.8$ ,

5.5

$5.5$ ,

9.5

$9.5$ ,

5.2

$5.2$ ,

1

$1$

6

$6$ ,

1.4

$1.4$ ,

7.5

$7.5$ ,

6.9

$6.9$ ,

8.7

$8.7$ ,

5.7

$5.7$ ,

2.2

$2.2$

Step 1

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

\frac{7.8 + 5.5 + 9.5 + 5.2 + 1 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}

$\frac{7.8 + 5.5 + 9.5 + 5.2 + 1 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Add

7.8

$7.8$ and

5.5

$5.5$ .

\frac{13.3 + 9.5 + 5.2 + 1 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}

$\frac{13.3 + 9.5 + 5.2 + 1 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}$

Step 2.2

Add

13.3

$13.3$ and

9.5

$9.5$ .

\frac{22.8 + 5.2 + 1 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}

$\frac{22.8 + 5.2 + 1 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}$

Step 2.3

Add

22.8

$22.8$ and

5.2

$5.2$ .

\frac{28 + 1 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}

$\frac{28 + 1 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}$

Step 2.4

Add

28

$28$ and

1

$1$ .

\frac{29 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}

$\frac{29 + 6 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}$

Step 2.5

Add

29

$29$ and

6

$6$ .

\frac{35 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}

$\frac{35 + 1.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}$

Step 2.6

Add

35

$35$ and

1.4

$1.4$ .

\frac{36.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}

$\frac{36.4 + 7.5 + 6.9 + 8.7 + 5.7 + 2.2}{12}$

Step 2.7

Add

36.4

$36.4$ and

7.5

$7.5$ .

\frac{43.9 + 6.9 + 8.7 + 5.7 + 2.2}{12}

$\frac{43.9 + 6.9 + 8.7 + 5.7 + 2.2}{12}$

Step 2.8

Add

43.9

$43.9$ and

6.9

$6.9$ .

\frac{50.8 + 8.7 + 5.7 + 2.2}{12}

$\frac{50.8 + 8.7 + 5.7 + 2.2}{12}$

Step 2.9

Add

50.8

$50.8$ and

8.7

$8.7$ .

\frac{59.5 + 5.7 + 2.2}{12}

$\frac{59.5 + 5.7 + 2.2}{12}$

Step 2.10

Add

59.5

$59.5$ and

5.7

$5.7$ .

\frac{65.2 + 2.2}{12}

$\frac{65.2 + 2.2}{12}$

Step 2.11

Add

65.2

$65.2$ and

2.2

$2.2$ .

\frac{67.4}{12}

$\frac{67.4}{12}$

\frac{67.4}{12}

$\frac{67.4}{12}$

Step 3

Divide

67.4

$67.4$ by

12

$12$ .

5.61 ¯ 6

$5.61\overline{6}$

Step 4

Divide.

5.61 ¯ 6

$5.61\overline{6}$

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.

5.6

$5.6$