6.SP.A.2: Understand that a set of data has a distribution — Practice

Warm-Up: Review What You Know

These problems review key vocabulary.

A statistical question generates data. What does that data describe?

A single exact answer with no variability.

A fixed formula, unrelated to variability at all.

A list of names, without any numeric information.

A collection of values that vary from one another.

A dot plot shows scores of 5 students: 70, 75, 75, 80, 80. How many students scored 75?

Use each display to describe the distribution.

$Dot plot of test scores on a number line from 60 to 100. Dot counts by score: 65 has 1, 70 has 1, 75 has 2, 80 has 4, 85 has 3, 90 has 2, 95 has 1.$

Where do most values in the dot plot cluster?

Around 65 — that is where the lowest scores are.

Around 80 — that is where dots cluster most.

Around 95 — that is where the highest scores are.

Around 100 — that is the top of the scale.

$Dot plot of test scores on a number line from 60 to 100. Dot counts by score: 65 has 1, 70 has 1, 75 has 2, 80 has 4, 85 has 3, 90 has 2, 95 has 1.$

Use the dot plot of test scores below (values from 65 to 95). Which statement correctly describes the spread?

The spread is from 65 to 95, a range of 30 points, with most scores between 75 and 90.

The spread is just 65 to 95, stating only the two endpoint values.

The spread is 80 because that is the center, confusing spread with a single central value.

The spread cannot be determined from a dot plot, even though the plot shows every value directly.

$Histogram of sleep hours for 20 students, intervals 4-5 through 10-11 hours. Bar heights left to right: 1, 2, 4, 7, 4, 2, 0 students.$

A histogram shows hours of sleep for 20 students. Describe the center, spread, and shape of this distribution in 2–3 sentences.