Statistics Examples

\begin{array}{c} Class & Frequency \\ 12 - 14 & 4 \\ 15 - 17 & 5 \\ 19 - 21 & 9 \\ 22 - 24 & 2 \end{array}

$\begin{array}{c} Class & Frequency \\ 12 - 14 & 4 \\ 15 - 17 & 5 \\ 19 - 21 & 9 \\ 22 - 24 & 2 \end{array}$

Step 1

Add up all of the frequencies.

4 + 5 + 9 + 2 = 20

$4 + 5 + 9 + 2 = 20$

Step 2

Find the median of the integers from

1

$1$ to

20

$20$ .

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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, 16, 17, 18, 19, 20

$1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20$

Step 2.2

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.

\frac{10 + 11}{2}

$\frac{10 + 11}{2}$

Step 2.3

Remove parentheses.

\frac{10 + 11}{2}

$\frac{10 + 11}{2}$

Step 2.4

Add

10

$10$ and

11

$11$ .

\frac{21}{2}

$\frac{21}{2}$

Step 2.5

Convert the median

\frac{21}{2}

$\frac{21}{2}$ to decimal.

10.5

$10.5$

10.5

$10.5$

Step 3

Starting with

0

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

10.5

$10.5$ . The median class interval is the corresponding class where the median value falls.

Median Class:

19 - 21

$19 - 21$

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