Basic Math Examples

11

$11$ ,

13

$13$ ,

5

$5$ ,

15

$15$ ,

14

$14$

Step 1

There are

5

$5$ observations, so the median is the middle number of the arranged set of data. Splitting the observations either side of the median gives two groups of observations. The median of the lower half of data is the lower or first quartile. The median of the upper half of data is the upper or third quartile.

The median of the lower half of data is the lower or first quartile

The median of the upper half of data is the upper or third quartile

Step 2

Arrange the terms in ascending order.

5, 11, 13, 14, 15

$5, 11, 13, 14, 15$

Step 3

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

13

$13$

Step 4

The upper half of data is the set above the median.

14, 15

$14, 15$

Step 5

The median for the upper half of data

14, 15

$14, 15$ is the upper or third quartile. In this case, the third quartile is

14.5

$14.5$ .

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Step 5.1

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{14 + 15}{2}

$\frac{14 + 15}{2}$

Step 5.2

Remove parentheses.

\frac{14 + 15}{2}

$\frac{14 + 15}{2}$

Step 5.3

Add

14

$14$ and

15

$15$ .

\frac{29}{2}

$\frac{29}{2}$

Step 5.4

Convert the median

\frac{29}{2}

$\frac{29}{2}$ to decimal.

14.5

$14.5$

14.5

$14.5$