Algebra 1 Data Distributions and Summary Statistics Quiz: 10 Questions with Explanations

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

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This data distributions quiz 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.

Check what you know about data distributions and summary statistics with 10 multiple-choice questions (S-ID.A.1, S-ID.A.2, and S-ID.A.3). Each question has one correct answer, and the explanation points out the common error behind the wrong choices. Use the results to decide what to practice next.

Algebra 1 · Common Core State Standards: S-ID.A.1, S-ID.A.2, S-ID.A.3

Data distributions quiz: 10 questions

Question 1

What is the mean of \(5, 7, 8, 10, 15\)?

Question 2

What is the median of \(3, 9, 4, 8\)?

Question 3

What is the mode of the data in the dot plot?

Question 4

A distribution is skewed right. Which statement is usually true?

Question 5

What is the IQR shown in the box plot?

Question 6

A data set has Q1 = 12 and Q3 = 20. Which value is an outlier by the 1.5·IQR rule?

Question 7

Adding a very large outlier to a data set will most affect which statistic?

Question 8

Data set A has a standard deviation of 2 and data set B has a standard deviation of 6, and both have the same mean. What does this show?

Question 9

About what percent of the scores are above the median?

Question 10

For skewed data such as house prices, which pair of statistics is usually best?

Remember

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 quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

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