The answer is 14. Here is how I work it out.
First we are going have to identify quartile 1 and quartile
3.
So after putting the numbers in order from least to greatest
mark the number with a half way point.
This is optional but it will help us spot the sections
better.
31,33,35,41,43,|46,48,49,49,50
Next put parentheses around the remaining groups of numbers.
(31,33,35,41,43,)|(46,48,49,49,50)
For the next step we have to find the median of each group.
(31,33,35,41,43,)|(46,48,49,49,50)
The median of each group, are called the quartiles, the
median of the lower half is quartile 1, and the median of the upper half is
quartile 3.
Now subtract quartile 1 from quartile 3.
49 – 35 = 14
So the interquartile range of this data set is 14.
