S-ID.A.2 Comparing Distributions

Problem Set 1 — Box Plots on a Shared Number Line

Number line is labeled in hours; whiskers show minimum and maximum (no outliers).

For each of the box plots shown above, determine the typical value.

Median (A) =

Median (B) =

Median (C) =

Also, calculate the variability of the middle half of the data. Show your work.

Interquartile range (A) =

Interquartile range (B) =

Interquartile range (C) =

Problem Set 2 — Dot Plots (Symmetric Distributions)

Each dot represents one observation (total of 13 dots per plot). Number line units are hours.

For each of the dot plots shown above, determine the typical value.

A. Mean =

B. Mean =

C. Mean =

Which dot plot has the greatest standard deviation?

Problem Set 3 — Bell‑Shaped Dot Plot

Dots show a single symmetric, bell‑shaped distribution (13 values, integers 1–15). Axis and label placed tightly below to save space.

How will adding a data value of affect the mean and median of this distribution with 13 data values?

The mean will increase / decrease / stay the same.

The median will increase / decrease / stay the same.

Problem Set 4 — Choosing Appropriate Measures

What is the most appropriate measure of center? Explain and find this value.

What is the most appropriate measure of variability? Explain and find this value (show your work).