Algebra 1 Data Distributions and Summary Statistics Test with Point Values (PDF)

Algebra 1 math test: Data Distributions and Summary Statistics – Maths PDF

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This data distributions test for Algebra 1 covers data distributions and summary statistics (Common Core S-ID.A.1, S-ID.A.2, S-ID.A.3), with a free PDF to print.

This test checks data distributions and summary statistics for Common Core S-ID.A.1, S-ID.A.2, and S-ID.A.3. It has 9 questions worth 20 points in all, and you have 45 minutes. Write clear steps, because points are awarded for method as well as for the final answer. Leave a few minutes to review.

Time and points

About this test

Grade: Algebra 1
Chapter: Data Distributions and Summary Statistics
Standards: S-ID.A.1, S-ID.A.2, S-ID.A.3
Time: 45 minutes
Total: 20 points

Data distributions test: questions

Question 1 – Mean and median [2 pts]

Find the mean and the median of \(14, 9, 12, 17, 20, 12\).

Question 2 – Five-number summary [2 pts]

Find the five-number summary of \(4, 6, 7, 9, 10, 12, 15\).

Question 3 – Draw a box plot [2 pts]

Number line for question 3.

Draw a box plot for the five-number summary: minimum 4, Q1 6, median 9, Q3 12, maximum 15.

Question 4 – Outlier test [2 pts]

The data are \(20, 22, 23, 25, 26, 27, 28, 60\). Use the \(1.5 \cdot \text{IQR}\) rule to decide whether 60 is an outlier.

Question 5 – Read a histogram [2 pts]

Minutes to walk to school.

The histogram shows the walking times of 20 students. How many students walk less than 10 minutes, and what percent of the 20 is that?

Question 6 – Standard deviation [2 pts]

Find the standard deviation of \(2, 4, 4, 4, 5, 5, 7, 9\). Divide by \(n\).

Question 7 – Compare two groups [3 pts]

Two data sets.

Two groups have the data shown in the table. Both have a mean of 10.

Find the range of each group. (1 point)
The standard deviations are about 1.3 for A and 3.4 for B. Which group is more spread out? (1 point)
What does this mean about the groups? (1 point)

Question 8 – Commute times [3 pts]

Commute times in minutes.

The box plot shows commute times (minutes) for a class.

What is the median? (1 point)
Find the IQR. (1 point)
Is 50 minutes an outlier? Use the 1.5·IQR rule. (1 point)

Question 9 – Choose a measure [2 pts]

The salaries (in thousands of dollars) of seven employees are \(32, 35, 36, 38, 40, 41, 150\). Find the mean and median. Which better describes a typical salary? Explain.

Key facts behind this data distributions test

Key facts

Dot plots show every value; histograms group data into intervals; box plots show five numbers.
Mean = sum ÷ count; median = middle value.
IQR = Q3 – Q1; range = maximum – minimum.
Outlier rule: below Q1 – 1.5·IQR or above Q3 + 1.5·IQR.
With outliers or skew, the median and IQR are better summaries than the mean and standard deviation.

How to use this data distributions test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Algebra 1 chapters: Algebra 1 math.

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