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Statistics: Center, Spread and Data Displays: Algebra 1 Math Quiz – PDF Download

    Statistics: Center, Spread and Data Displays – Algebra 1 math quiz

    This algebra 1 statistics one variable quiz asks 10 multiple-choice questions on statistics: center, spread and data displays, and each answer comes with a short explanation.

    Answer these 10 multiple-choice questions on dot plots, histograms, box plots, center, spread and outliers. Each question has exactly one correct answer. Read the displays carefully, then check your choice against the explanation.

    Algebra 1Common Core: S-ID.A.1 · S-ID.A.2 · S-ID.A.3
    🎯 Statistics: Center, Spread and Data Displays – Algebra 1 math quiz
    Score: 0 / 10
    Answered: 0 / 10
    Question 1

    What is the median of the data shown?

    012345678910Value
    Nine data values.
    A 2
    B 3
    C 4.1
    D 5
    Question 2

    What is the IQR of the data in the box plot?

    01020304050607080Value
    A box plot.
    A 60
    B 40
    C 10
    D 30
    Question 3

    Which describes the shape of the histogram?

    0246810863210246810ValueFrequency
    A histogram.
    A Skewed left
    B Symmetric
    C Skewed right
    D Uniform
    Question 4

    Which pair of measures is best for describing skewed data?

    A Mean and standard deviation
    B Median and IQR
    C Mean and IQR
    D Median and range
    Question 5

    Data set A and data set B have the same mean. Set A has a standard deviation of 2 and set B has a standard deviation of 7. Which statement must be true?

    A A's values are more spread out
    B B's values are more spread out
    C B has the larger median
    D A has the larger range
    Question 6

    What is the mean of 12, 15, 9, 20, 24?

    A 15
    B 20
    C 80
    D 16
    Question 7

    One very large value is added to a data set. Which statistics change the most?

    A The mean and the standard deviation
    B The median and the IQR
    C The minimum and the median
    D None of the statistics
    Question 8

    A data set has \(Q_1=20\) and \(Q_3=32\). Which value is an outlier by the \(1.5\times\text{IQR}\) rule?

    A 48
    B 30
    C 55
    D 4
    Question 9

    Which statement do the box plots support?

    405060708090100Class AClass BScore
    Scores for two classes.
    A Class A has the higher median
    B Class B has the larger range
    C Class B's middle 50% of scores is more tightly packed
    D The classes have the same IQR
    Question 10

    Eight values have a mean of 5 and their squared differences from the mean add to 32. What is the standard deviation?

    A 2
    B 4
    C 5.7
    D 0.5

    🎉 Quiz complete!

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    How does this quiz work?

    Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

    What should you review before the quiz?

    Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

    Remember:

    • Standards S-ID.A.1, S-ID.A.2 and S-ID.A.3: represent one-variable data with dot plots, histograms and box plots, compare center and spread, and interpret shape and outliers.
    • The IQR is Q3 minus Q1 and measures the spread of the middle 50% of the data.
    • Standard deviation is a typical distance from the mean: the square root of the average squared difference.
    • A value is an outlier if it is below Q1 minus 1.5 IQR or above Q3 plus 1.5 IQR.
    • Use mean and SD for symmetric data; use median and IQR for skewed data or data with outliers.

    How to use this algebra 1 statistics one variable quiz

    Retake this algebra 1 statistics one variable quiz until every answer is right, then move on to the worksheet and the test.

    Next step after this algebra 1 statistics one variable quiz: Statistics: Center, Spread and Data Displays lesson

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    Algebra 1 Statistics: Center, Spread and Data Displays quiz

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