Which statement best interprets the IQR for English in context?

Half of English homework times are within about 21 minutes

Half of English homework times are within about 10 minutes

All English homework times are within the IQR

The IQR indicates the mean time per day

If Team A’s Q1 and Q3 are approximately 11.3 and 12.1, and Team B’s Q1 and Q3 are approximately 11.0 and 13.0, what is true?

Team A IQR ≈ 0.8; Team B IQR ≈ 2.0; Team B more variable

Team A IQR ≈ 2.0; Team B IQR ≈ 0.8; Team A more variable

Both IQRs ≈ 1.0; equal variability

A box plot shows Team B’s box is much wider and slightly higher median than Team A. Which is the best conclusion?

Team B is more variable and has a slightly higher center

Team B is faster and more consistent

Team A is more variable and has a higher center

Team A is slower and more consistent

Which team shows more consistent sprint performance?

Consistency cannot be assessed with IQR

Which class demonstrates greater consistency in scores?

Class Y, because higher scores mean consistent

Both, because both have 12 scores

If the teacher wants the subject with more predictable nightly time, which should they choose?

Math, because its IQR is smaller

English, because its IQR is smaller

English, because it has higher values

Either, because IQR doesn’t reflect predictability

If the principal wants the class with the tightest middle 50% of scores for a pilot program, which should be chosen?

Either class, since IQRs are equal

Which statement is the best comparison of consistency between M and N?

Consistency cannot be inferred from IQR

If both have the same median but different IQRs, what does that imply?

Centers are equal but spreads differ

Centers differ but spreads are equal

Both centers and spreads differ

Neither center nor spread can be compared

If the IQR for Service B is approximately 20 minutes and for Service A is approximately 8 minutes, what does this tell you about variability?

Service B has greater variability

Service A has greater variability

IQR does not measure variability

If Q1 and Q3 for Math are approximately 25 and 35, and for English are approximately 18 and 40, which statement is true?

English IQR is larger, so English is more variable

Math IQR is larger, so Math is more variable

Both IQRs are equal, so variability is the same

IQR only shows center, not spread

Which subject shows greater consistency in homework time?

Consistency cannot be determined

If a manager wants more predictable delivery timing, which service should they prefer?

Service A, because smaller IQR means more consistent middle times

Service B, because larger IQR means more variety

Service B, because it has faster minimum

Either service; IQR is unrelated to predictability

Analyzing IQR and Data Distribution

Grade 9th

Reviewed by Cierra Henderson

Cierra Henderson, MBA |

K-12 Expert

Review Board Member

Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.

, MBA

By Thames

Thames

Community Contributor

Quizzes Created: 11173 | Total Attempts: 9,780,421

| Questions: 20 | Updated: Jan 22, 2026