Name
Date
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S-ID.A.3 Interpreting Shape, Center, Spread

Problem Set 1 — Box Plots on a Shared Number Line
Number line is labeled in hours; whiskers show minimum and maximum (no outliers).

1. What is the most appropriate measure of center and spread? Explain why.

2. What distribution has a greater measure of center? Explain and interpret in context.

3. What distribution has a greater measure of variability? Explain and interpret in context.

4. What battery brand will you buy based on the data above?

Problem Set 2 — Dot Plots
Each dot represents one observation (13 dots per plot). Number line units are hours.

1. What is the most appropriate measure of center and spread? Explain why.

2. What distribution has a greater measure of center? Explain and interpret in context.

3. What distribution has a greater measure of variability? Explain and interpret in context.

4. What battery brand will you buy based on the data above?

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.

1. Compare the median and mean of this distribution. Explain.

2. 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.

3. What are the median and mean values after adding this value?

4. How will adding this value affect the standard deviation?

Problem Set 4 — Interpreting a Data Set

1. What are the most appropriate measures of center and variability? Explain.

2. Complete the five-number summary:

minimum:
quartile 1:
median:
quartile 3:
maximum:

3. What is the interquartile range?

4. Use the 1.5(IQR) rule to calculate the upper and lower bounds for outliers.

1.5(IQR):
lower bound:
upper bound:

5. What are the outlier(s)?

6. Construct a box plot for this distribution.

Number line from 0 to 100; labeled every 5 units.