Problem 107

Problem 107

For a set of scores, will the interquartile range always be less then the range? Explain your answer with an example.

 

Solution

Yes, the interquartile range will always be less than the range.

Example:-

{15, 16, 18, 20, 24, 25}

Range is 25-15 = 10

Q₃ = = 22 and Q₁ = = 17

Interquartile range = 22- 17 = 5

Now above example we can see that interquartile range is less than the Range.