Find the range and percentiles

Question

Descriptive Statistics: Obese

 

Variable         N       N*       Mean       SE Mean         StDev        Minimum       Q1        Median        Q3         Maximum

Obese          50       0        24.552       0.431             3.044        17.800       22.175     24.400      26.825     30.900

 

 

Range?

IQR?

 

What can we conclude from the five number summary about the location of the 15th percentile? The 90th percentile?

The location of the 15th percentile is between ? AND ?

The location of the 90th percentile is between ? AND?

Answer 1

30.9 - 17.8 = 13.1 = max - min = the range

1st quartile has range of 22.175 - 17.8 = 4.375

2nd quartile has range of 1.225

3rd quartile has range of 2.225

4th quartile has range of 4.125

22.175 = 25th percentile

median = 50th percentile = 24.4

15th percentile is between 17.8 and 22.175

75th percentile = 26.825

90th percentile is between 26.824 and 30.9

0th percentile = min = 17.8, 100th percentile = max = 30.9