Interquartile Range (IQR) Calculator

Find Q1, Q3 and the interquartile range.

Value 1

Value 2

Value 3

Value 4

Value 5

IQR 8

Q1 8

Q3 16

Formula: IQR = Q3 − Q1

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. IQR = 8

9. Q1 = 8

10. Q3 = 16

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The IQR measures the spread of the middle 50% of the data.

The math behind it

IQR = third quartile (Q3) − first quartile (Q1).

4,8,15,16,23 → Q1 8, Q3 16, IQR 8.

Why use IQR?

It resists outliers, unlike the full range.