Statistics Examples

$3$ , $4$ , $4$ , $5$ , $17$

Step 1

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

$μ = \frac{3 + 4 + 4 + 5 + 17}{5}$

Step 2

Simplify the numerator.

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Step 2.1

Add $3$ and $4$ .

$μ = \frac{7 + 4 + 5 + 17}{5}$

Step 2.2

Add $7$ and $4$ .

$μ = \frac{11 + 5 + 17}{5}$

Step 2.3

Add $11$ and $5$ .

$μ = \frac{16 + 17}{5}$

Step 2.4

Add $16$ and $17$ .

$μ = \frac{33}{5}$

Step 3

Divide.

$μ = 6.6$

Step 4

Arrange the terms in ascending order.

$M e d i a n = 3, 4, 4, 5, 17$

Step 5

The median is the middle term in the arranged data set.

$M e d i a n = 4$

Step 6

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

Positively Skewed

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