Basic Math Examples

2

$2$ ,

1

$1$ ,

2

$2$ ,

2

$2$ ,

1

$1$ ,

2

$2$ ,

2

$2$ ,

3

$3$ ,

3

$3$ ,

3

$3$ ,

3

$3$

Step 1

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

\frac{2 + 1 + 2 + 2 + 1 + 2 + 2 + 3 + 3 + 3 + 3}{11}

$\frac{2 + 1 + 2 + 2 + 1 + 2 + 2 + 3 + 3 + 3 + 3}{11}$

Step 2

Simplify the numerator.

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Step 2.1

Add

2

$2$ and

1

$1$ .

\frac{3 + 2 + 2 + 1 + 2 + 2 + 3 + 3 + 3 + 3}{11}

$\frac{3 + 2 + 2 + 1 + 2 + 2 + 3 + 3 + 3 + 3}{11}$

Step 2.2

Add

3

$3$ and

2

$2$ .

\frac{5 + 2 + 1 + 2 + 2 + 3 + 3 + 3 + 3}{11}

$\frac{5 + 2 + 1 + 2 + 2 + 3 + 3 + 3 + 3}{11}$

Step 2.3

Add

5

$5$ and

2

$2$ .

\frac{7 + 1 + 2 + 2 + 3 + 3 + 3 + 3}{11}

$\frac{7 + 1 + 2 + 2 + 3 + 3 + 3 + 3}{11}$

Step 2.4

Add

7

$7$ and

1

$1$ .

\frac{8 + 2 + 2 + 3 + 3 + 3 + 3}{11}

$\frac{8 + 2 + 2 + 3 + 3 + 3 + 3}{11}$

Step 2.5

Add

8

$8$ and

2

$2$ .

\frac{10 + 2 + 3 + 3 + 3 + 3}{11}

$\frac{10 + 2 + 3 + 3 + 3 + 3}{11}$

Step 2.6

Add

10

$10$ and

2

$2$ .

\frac{12 + 3 + 3 + 3 + 3}{11}

$\frac{12 + 3 + 3 + 3 + 3}{11}$

Step 2.7

Add

12

$12$ and

3

$3$ .

\frac{15 + 3 + 3 + 3}{11}

$\frac{15 + 3 + 3 + 3}{11}$

Step 2.8

Add

15

$15$ and

3

$3$ .

\frac{18 + 3 + 3}{11}

$\frac{18 + 3 + 3}{11}$

Step 2.9

Add

18

$18$ and

3

$3$ .

\frac{21 + 3}{11}

$\frac{21 + 3}{11}$

Step 2.10

Add

21

$21$ and

3

$3$ .

\frac{24}{11}

$\frac{24}{11}$

\frac{24}{11}

$\frac{24}{11}$

Step 3

Divide.

2.\overline{18}

$2.\overline{18}$

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.

2.2

$2.2$