SAT Math · Topic 3.3

One-Variable Data: Distributions and Measures of Center and Spread Practice

Part of Problem-Solving and Data Analysis.

Practice questions

52

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Sample questions

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  1. Sample 1difficulty 2/5

    The mean of 4 numbers is 25. What is their sum?

    • A

      25

    • B

      50

    • C

      125

    • D

      100

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    Why

    Sum = mean ×\times count = 25×4=10025 \times 4 = 100.

  2. Sample 2difficulty 2/5

    What is the mean of the data set {3,5,8,10,14}\{3, 5, 8, 10, 14\}?

    • A

      10

    • B

      7

    • C

      9

    • D

      8

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    Why

    Mean = (3+5+8+10+14)/5=40/5=8(3+5+8+10+14)/5 = 40/5 = 8.

  3. Sample 3difficulty 2/5

    A bar chart shows monthly sales: Jan 200, Feb 150, Mar 220, Apr 180. What were total sales over these 4 months?

    • A

      800

    • B

      750

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    • C

      700

    • D

      850

    Why

    200+150+220+180=750200 + 150 + 220 + 180 = 750.

  4. Sample 4difficulty 2/5

    A bar graph shows favorite fruits: Apples 25, Bananas 30, Oranges 20, Grapes 15. What fraction prefer bananas?

    • A

      30/100=0.3030/100 = 0.30

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    • B

      30/6030/60

    • C

      30/9030/90

    • D

      1/41/4

    Why

    Total = 25+30+20+15=9025 + 30 + 20 + 15 = 90. Wait — re-checking: 25+30+20+15=9025+30+20+15 = 90, so 30/90=1/330/90 = 1/3. Actually answer should be 30/9030/90, which equals 1/31/3. Re-reading: total 90, bananas 30, fraction = 30/90=1/330/90 = 1/3. Among given choices, 30/9030/90 is correct.

  5. Sample 5difficulty 2/5

    A dot plot shows the values: 11 (2 dots), 22 (4 dots), 33 (3 dots), 44 (1 dot). What is the mode?

    • A

      1

    • B

      3

    • C

      2

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    • D

      4

    Why

    The mode is the value with the most dots: 22 has 4 dots.