, , ,

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 – the middle term

4. First Quartile – the middle term of values below the median

5. Third Quartile – the middle term of values above the median

Arrange the terms in ascending order.

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

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

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.

Remove parentheses.

Convert the median to decimal.

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

The median for the lower half of data is the lower or first quartile. In this case, the first quartile is .

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.

Remove parentheses.

Simplify the numerator.

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Move to the left of .

Multiply the numerator by the reciprocal of the denominator.

Multiply .

Multiply and .

Multiply by .

Convert the median to decimal.

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

The median for the upper half of data is the upper or third quartile. In this case, the third quartile is .

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.

Remove parentheses.

Simplify the numerator.

The absolute value is the distance between a number and zero. The distance between and is .

Add and .

Convert the median to decimal.

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

Find the Five Number Summary square root of 3 , 1/2 , |5| , 4