AP Statistics 3.3 Exploring Data
AP Statistics: Exploring Data Drill 3, Problem 3. What is the interquartile range?
|AP Statistics||Exploring Data|
|Exploring Data||Comparing Distributions of Univariate Data|
Q1 and Q3 in the five number summary of a set of data.
As its name suggests, a five number summary... summarizes the data of 5 numbers.
Those five numbers are: minimum, q1, median,
q3, and maximum. It's obvious that minimum is the smallest,
and maximum is the biggest. Not too far off is median, which is the middle
value. Q1 is between the minimum and median, and Q3 is between the median and maximum.
So, to find our IQR, we'll want to subtract Q1 from Q3.
Since our data is only 5 values, it's easy to figure out the values we want for our 5
number summary. Then, it's a simple matter of subtracting
71 from 79 to get 8.
The IQR is 8, so our answer is (E).