Pre-Algebra Examples

$5$ , $10$ , $12$

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.

$5, 10, 12$

Step 3

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

$5$

Step 4

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

$12$

Step 5

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

$10$

Step 6

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

$5$

Step 7

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

$12$

Step 8

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

$Min = 5$

$Max = 12$

$M = 10$

$Q_{1} = 5$

$Q_{3} = 12$