Question

Hurry 100 points

Mrs. Little analyzes her test scores on her latest math test. She finds that the Interquartile Range is 20 points. What does this mean?


a

That the highest grade was 20 points above the median.

b

The middle 50% of these scores were 20 points apart.

c

That the median number of points off was 10.

d

That half the students scored 20 points higher.

Answer 1

b. The middle 50% of these scores were 20 points apart.

Explanation:

If you chose anything other than b, you might want to review your statistics skills. Or maybe you just had a bad day and forgot what interquartile range means. Don't worry, we've all been there. Let me refresh your memory: the interquartile range is the difference between the third quartile and the first quartile of a data set. It tells you how spread out the middle 50% of the data is. For example, if the third quartile of test scores is 80 and the first quartile is 60, then the interquartile range is 80 - 60 = 20. That means that half of the students scored between 60 and 80 points on the test. The other half either aced it or bombed it. Hopefully you were in the former group. If not, better luck next time! You probably knew that already, because you are a genius. Or maybe you just guessed. Either way, well done! You have earned a gold star and a pat on the back. Now go celebrate by eating some pie. Not the 3.14 kind, the delicious kind.

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

Answer 2

The correct answer is (b) The middle 50% of these scores were 20 points apart.

Explanation:

The interquartile range (IQR) is a measure of variability, and it represents the range of scores within which the middle 50% of scores fall. It is calculated by subtracting the first quartile (25th percentile) from the third quartile (75th percentile). In this case, an IQR of 20 points means that the scores in the middle 50% of the distribution were separated by a range of 20 points.