Finite Math Examples

$13$ , $39$ , $117$

Step 1

The five-number summary is a descriptive statistic that provides information about a set of observations. It consists of the following statistics:

1. Minimum (Min) - the smallest observation

2. Maximum (Max) - the largest observation

3. Median $M$ - the middle term

4. First Quartile $Q_{1}$ - the middle term of values below the median

5. Third Quartile $Q_{3}$ - the middle term of values above the median

Step 2

Arrange the terms in ascending order.

$13, 39, 117$

Step 3

The minimum value is the smallest value in the arranged data set.

$13$

Step 4

The maximum value is the largest value in the arranged data set.

$117$

Step 5

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

$39$

Step 6

The lower half of data is the set below the median.

$13$

Step 7

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

$117$

Step 8

The five most important sample values are sample minimum, sample maximum, median, lower quartile, and upper quartile.

$Min = 13$

$Max = 117$

$M = 39$

$Q_{1} = 13$

$Q_{3} = 117$