Skip to content

Assessment: Statistics

Answer every question, then submit to see your score and which topics to review.

Part A β€” Concept Questions

Why is the IQR often preferred over the range?

Easy

What does a downward-trending scatter diagram indicate?

Easy

Part B β€” Formula & Application

Find the variance of: 3, 3, 3, 3. (Mean = 3.)

Medium

Find the IQR of: 2, 4, 6, 8, 10, 12, 14, 16. (Lower half: 2,4,6,8. Upper half: 10,12,14,16.)

Medium

Part C β€” Problem Solving

Classes 0-20 (8), 20-40 (15), 40-60 (12) have what cumulative frequency at boundary 60?

Medium

A dataset has n=80. At what cumulative frequency value should you read Q1 from the ogive?

Medium

Part D β€” Real-Life Application

Two factories produce parts with the same mean length, but Factory A has a much smaller standard deviation than Factory B. What does this tell you?

Medium

A study finds r = 0.05 between shoe size and exam scores. What does this suggest?

Medium

Part E β€” Challenge

Find the standard deviation of: 5, 5, 9, 9. (Mean=7.) Give as a whole number.

Hard

A dataset has cumulative frequencies 6 (at boundary 10) and 20 (at boundary 20), with n=40. Between which boundaries does the median (at cumulative frequency 20) fall?

Hard

0/10 answered