Answer:
A. median = 80, Q1 = 60, Q3 = 110
Step-by-step explanation:
Box plots have the IQR, median, and range on them. So let's solve for each of those measures.
Median
The median is the middle number in the set when they're ranked from smallest to largest. The median of a 15-number set will be the eighth answer, so the median is 80.
- Let's do a quick check of our answer choices. The median on a box plot is the middle of the box, and only A and C have that plotted correctly, so we know that B and D aren't right!
IQR
The IQR is the inter-quartile range. It's the median of the lower and upper half. We can divide this set into the numbers from 44 - 80 and the numbers from 90-135, then find the median of each of these.
The Q1 (first quartile) is the median of the lower half, which is the 4th number. So Q1 = 60.
The Q3 (third quartile) is the median of the upper half, which is the 12th number. So Q3 = 110.
- The only answer choice that matches this is A!
