Statistics Examples

1

$1$ ,

2

$2$ ,

2

$2$ ,

2

$2$ ,

3

$3$ ,

4

$4$ ,

5

$5$ ,

8

$8$ ,

9

$9$ ,

10

$10$

Step 1

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

\frac{1 + 2 + 2 + 2 + 3 + 4 + 5 + 8 + 9 + 10}{10}

$\frac{1 + 2 + 2 + 2 + 3 + 4 + 5 + 8 + 9 + 10}{10}$

Step 2

Simplify the numerator.

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Step 2.1

Add

1

$1$ and

2

$2$ .

\frac{3 + 2 + 2 + 3 + 4 + 5 + 8 + 9 + 10}{10}

$\frac{3 + 2 + 2 + 3 + 4 + 5 + 8 + 9 + 10}{10}$

Step 2.2

Add

3

$3$ and

2

$2$ .

\frac{5 + 2 + 3 + 4 + 5 + 8 + 9 + 10}{10}

$\frac{5 + 2 + 3 + 4 + 5 + 8 + 9 + 10}{10}$

Step 2.3

Add

5

$5$ and

2

$2$ .

\frac{7 + 3 + 4 + 5 + 8 + 9 + 10}{10}

$\frac{7 + 3 + 4 + 5 + 8 + 9 + 10}{10}$

Step 2.4

Add

7

$7$ and

3

$3$ .

\frac{10 + 4 + 5 + 8 + 9 + 10}{10}

$\frac{10 + 4 + 5 + 8 + 9 + 10}{10}$

Step 2.5

Add

10

$10$ and

4

$4$ .

\frac{14 + 5 + 8 + 9 + 10}{10}

$\frac{14 + 5 + 8 + 9 + 10}{10}$

Step 2.6

Add

14

$14$ and

5

$5$ .

\frac{19 + 8 + 9 + 10}{10}

$\frac{19 + 8 + 9 + 10}{10}$

Step 2.7

Add

19

$19$ and

8

$8$ .

\frac{27 + 9 + 10}{10}

$\frac{27 + 9 + 10}{10}$

Step 2.8

Add

27

$27$ and

9

$9$ .

\frac{36 + 10}{10}

$\frac{36 + 10}{10}$

Step 2.9

Add

36

$36$ and

10

$10$ .

\frac{46}{10}

$\frac{46}{10}$

\frac{46}{10}

$\frac{46}{10}$

Step 3

Cancel the common factor of

46

$46$ and

10

$10$ .

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Step 3.1

Factor

2

$2$ out of

46

$46$ .

\frac{2 (23)}{10}

$\frac{2 (23)}{10}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 \cdot 23}{2 \cdot 5}

$\frac{2 \cdot 23}{2 \cdot 5}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 23}{2 \cdot 5}$

Step 3.2.3

Rewrite the expression.

$\frac{23}{5}$

Step 4

Divide.

$4.6$

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