Statistics Examples

4

$4$ ,

6

$6$ ,

16

$16$

Step 1

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

μ = \frac{4 + 6 + 16}{3}

$μ = \frac{4 + 6 + 16}{3}$

Step 2

Simplify the numerator.

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Step 2.1

Add

4

$4$ and

6

$6$ .

μ = \frac{10 + 16}{3}

$μ = \frac{10 + 16}{3}$

Step 2.2

Add

10

$10$ and

16

$16$ .

μ = \frac{26}{3}

$μ = \frac{26}{3}$

μ = \frac{26}{3}

$μ = \frac{26}{3}$

Step 3

Divide.

μ = 8. ¯ 6

$μ = 8.\overline{6}$

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.

μ = 8.7

$μ = 8.7$

Step 5

Arrange the terms in ascending order.

M e d i a n = 4, 6, 16

$M e d i a n = 4, 6, 16$

Step 6

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

M e d i a n = 6

$M e d i a n = 6$

Step 7

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

Positively Skewed

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