Statistics Examples

$3$ , $4$ , $5$ , $12$

Step 1

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

$μ = \frac{3 + 4 + 5 + 12}{4}$

Step 2

Simplify the numerator.

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Step 2.1

Add $3$ and $4$ .

$μ = \frac{7 + 5 + 12}{4}$

Step 2.2

Add $7$ and $5$ .

$μ = \frac{12 + 12}{4}$

Step 2.3

Add $12$ and $12$ .

$μ = \frac{24}{4}$

Step 3

Divide $24$ by $4$ .

$μ = 6$

Step 4

Arrange the terms in ascending order.

$M e d i a n = 3, 4, 5, 12$

Step 5

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

$M e d i a n = \frac{4 + 5}{2}$

Step 6

Remove parentheses.

$M e d i a n = \frac{4 + 5}{2}$

Step 7

Add $4$ and $5$ .

$M e d i a n = \frac{9}{2}$

Step 8

Convert the median $\frac{9}{2}$ to decimal.

$M e d i a n = 4.5$

Step 9

Since the mean is greater than the median, the data set is positively skewed.

Positively Skewed

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