What is the five number summary of the following data set

Question

35,28,43,32,37,35,31,25,40,36

Answer 1

The five number summary of a set of data consists of the:

Minimum

1st Quartile

Median

3rd Quartile

Maximum

 

To find these, you'll need to rearrange your data in numerical order

25, 28, 31, 32, 35, 35, 36, 37, 40, 43

 

Minimum: 25

Maximum: 43

 

The median is the middle number of the set. If there's an even number of data points, take the average of the two most central data. Here, the median is between 35 and 35.

 

Median: 35

 

The quartiles split the data 25%/75% and 75%/25% similar to the way the median splits it 50%/50%. With 10 data points, 25%*10 = 2.5. Always round up, so the first quartile is the 3rd data point.

First Quartile = 31

 

75%*10 = 7.5. Round up to the 8th data point.

Third quartile = 37