5 , -5 , 45 , -135

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 Q1 – the middle term of values below the median

5. Third Quartile Q3 – the middle term of values above the median

Arrange the terms in ascending order.

-135,-5,5,45

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

-135

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

45

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.

-5+52

Remove parentheses.

-5+52

Add -5 and 5.

02

Divide 0 by 2.

0

Convert the median 0 to decimal.

0

0

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

-135,-5

The median for the lower half of data -135,-5 is the lower or first quartile. In this case, the first quartile is -70.

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.

-135-52

Remove parentheses.

-135-52

Subtract 5 from -135.

-1402

Divide -140 by 2.

-70

-70

-70

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

5,45

The median for the upper half of data 5,45 is the upper or third quartile. In this case, the third quartile is 25.

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.

5+452

Remove parentheses.

5+452

Add 5 and 45.

502

Divide 50 by 2.

25

Convert the median 25 to decimal.

25

25

25

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

Min=-135

Max=45

M=0

Q1=-70

Q3=25

Find the Five Number Summary 5 , -5 , 45 , -135