5 Number Summary Calculator

Find min, Q1, median, Q3 and max of a data set.

Value 1

Value 2

Value 3

Value 4

Value 5

Minimum 4

Q1 8

Median 15

Q3 16

Maximum 23

Formula: quartiles via linear interpolation of the sorted data

Step-by-step with your numbers:

1. Values used:

2. Value 1 = 4

3. Value 2 = 8

4. Value 3 = 15

5. Value 4 = 16

6. Value 5 = 23

8. Minimum = 4

9. Q1 = 8

10. Median = 15

11. Q3 = 16

12. Maximum = 23

Did we solve your problem today?

The five-number summary describes a data set's spread (used for box plots).

The math behind it

Sort the data, then find the minimum, first quartile (25th percentile), median, third quartile (75th) and maximum.

4,8,15,16,23 → min 4, Q1 8, median 15, Q3 16, max 23.

Use?

It's the basis of box-and-whisker plots.