For a set of scores, will the interquartile range always be
less than the range? Explain your answer with an example.
2 answers
use range 3.5
No, but the interquartile range will be always less than or equal to the range.
For example:
10 10 14 16 18 20 20
Here the range is 20-10=10
The interquartile range is also 20-10=10.
For practical sized distributions, it is quite unlikely that equality holds, but it is a possibility.
For example:
10 10 14 16 18 20 20
Here the range is 20-10=10
The interquartile range is also 20-10=10.
For practical sized distributions, it is quite unlikely that equality holds, but it is a possibility.
1 answer