Question

Mrs. Little creates a boxplot for the test scores on her latest math test. She finds that the interquartile range is 20 points. What does this mean? A) That the median number of points off was 10. B) That half the students scored 20 points higher. C) That the highest grade was 20 points above the median. D) That the middle 50% of the scores were 20 points apart.

Answer 1

D) That the middle 50% of the scores were 20 points apart.

Explanation:

Interquartile range measures the skewness using 50% of the data. It is the difference between the third quartile and the first quartile.

A) this option is incorrect as it does not define the Interquartile range.

B) No, it is the definition of median.

C) No, it does not define the interquartile range.

D) Yes, it is correct answer.

Answer 2

Hi there!

The interquartile is the upper quartile and lower quartile subtracted.
As the pictures show below.
The interquartile range (IQR) limits the range to the 50% of the values.
So I think the answer is D. That the middle 50% of the scores were 20 points apart.

Hope this helps!