Basic Math Examples

4.7

$4.7$ ,

3.3

$3.3$ ,

6.2

$6.2$ ,

4.9

$4.9$ ,

4.8

$4.8$ ,

4.6

$4.6$ ,

5.8

$5.8$ ,

3.7

$3.7$ ,

12.1

$12.1$

Step 1

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

\frac{4.7 + 3.3 + 6.2 + 4.9 + 4.8 + 4.6 + 5.8 + 3.7 + 12.1}{9}

$\frac{4.7 + 3.3 + 6.2 + 4.9 + 4.8 + 4.6 + 5.8 + 3.7 + 12.1}{9}$

Step 2

Simplify the numerator.

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Step 2.1

Add

4.7

$4.7$ and

3.3

$3.3$ .

\frac{8 + 6.2 + 4.9 + 4.8 + 4.6 + 5.8 + 3.7 + 12.1}{9}

$\frac{8 + 6.2 + 4.9 + 4.8 + 4.6 + 5.8 + 3.7 + 12.1}{9}$

Step 2.2

Add

8

$8$ and

6.2

$6.2$ .

\frac{14.2 + 4.9 + 4.8 + 4.6 + 5.8 + 3.7 + 12.1}{9}

$\frac{14.2 + 4.9 + 4.8 + 4.6 + 5.8 + 3.7 + 12.1}{9}$

Step 2.3

Add

14.2

$14.2$ and

4.9

$4.9$ .

\frac{19.1 + 4.8 + 4.6 + 5.8 + 3.7 + 12.1}{9}

$\frac{19.1 + 4.8 + 4.6 + 5.8 + 3.7 + 12.1}{9}$

Step 2.4

Add

19.1

$19.1$ and

4.8

$4.8$ .

\frac{23.9 + 4.6 + 5.8 + 3.7 + 12.1}{9}

$\frac{23.9 + 4.6 + 5.8 + 3.7 + 12.1}{9}$

Step 2.5

Add

23.9

$23.9$ and

4.6

$4.6$ .

\frac{28.5 + 5.8 + 3.7 + 12.1}{9}

$\frac{28.5 + 5.8 + 3.7 + 12.1}{9}$

Step 2.6

Add

28.5

$28.5$ and

5.8

$5.8$ .

\frac{34.3 + 3.7 + 12.1}{9}

$\frac{34.3 + 3.7 + 12.1}{9}$

Step 2.7

Add

34.3

$34.3$ and

3.7

$3.7$ .

\frac{38 + 12.1}{9}

$\frac{38 + 12.1}{9}$

Step 2.8

Add

38

$38$ and

12.1

$12.1$ .

\frac{50.1}{9}

$\frac{50.1}{9}$

\frac{50.1}{9}

$\frac{50.1}{9}$

Step 3

Divide

50.1

$50.1$ by

9

$9$ .

5.5 ¯ 6

$5.5\overline{6}$

Step 4

Divide.

5.5 ¯ 6

$5.5\overline{6}$

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.

5.57

$5.57$