Statistics Examples

\begin{matrix} Class & Frequency 12 - 17 & 3 18 - 23 & 6 24 - 29 & 4 30 - 35 & 2 \end{matrix}

$\begin{array}{c} Class & Frequency \\ 12 - 17 & 3 \\ 18 - 23 & 6 \\ 24 - 29 & 4 \\ 30 - 35 & 2 \end{array}$

Step 1

Add up all of the frequencies.

3 + 6 + 4 + 2 = 15

$3 + 6 + 4 + 2 = 15$

Step 2

Find the median of the integers from

1

$1$ to

15

$15$ .

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Step 2.1

Arrange the terms in ascending order.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

$1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15$

Step 2.2

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

8

$8$

8

$8$

Step 3

Starting with

0

$0$ , add the frequencies in the table starting with the first row until you reach

8

$8$ . The median class interval is the corresponding class where the median value falls.

Median Class:

18 - 23

$18 - 23$

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