Problem preview

S-ID.2 Warmup M1-051-A10-V03

Compare data sets using center and spread measures appropriate to distribution shape.

Decide which group has more variability

Problem

Compare the variability of group A and group B using these summaries: each group has \(IQR~3\) and \(\text{range}~9\). Determine whether either group has more variability and justify the conclusion with both measures.

Answer choices

Choose your path.

Preview only

Group A has more variability because one group must be more spread out even if the summaries look the same.

Group B has more variability because range tells the whole spread, so it matters more than IQR.

Neither group has more variability because both have an IQR of 3 and a range of 9.

Group A has more variability because an IQR of 3 shows more spread than Group B’s range of 9.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context

Course: Math I
Standard: S-ID.2
Category: Statistics and Probability
Domain: Interpreting Categorical and Quantitative Data
Objective: Compare data sets using center and spread measures appropriate to distribution shape.
Problem type: Decide which group has more variability