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GED Mathematical Reasoning Preparation Course: Data, statistics and probability

Untimed topic quiz: 16 questions on Data, statistics and probability, with an explanation after each answer. Questions and answers are shuffled every time.

  • Course
  • United States
  • 100 questions
  • Checked October 13, 2026
  • Fact-checked October 13, 2026
Start with the lessonsGED Mathematical Reasoning Preparation: Lessons: about 420 minutes of reading. Every test question is covered in the lessons.

Topic quiz 4: Data, statistics and probability

  1. Question 1 of 16

    What is the mean of 3, 9, 5, 12 and 6?
    Show answer

    Answer: C. 7

    Mean = sum ÷ count = 35 ÷ 5 = 7. The median is 6 and the range is 9.

  2. Question 2 of 16

    What is the median of 12, 7, 15, 9, 20 and 11?
    Show answer

    Answer: D. 11.5

    Put them in order: 7, 9, 11, 12, 15, 20. With an even count, the median is the mean of the two middle numbers: (11 + 12) ÷ 2 = 11.5.

  3. Question 3 of 16

    A store sold shoes in these sizes: 8, 9, 9, 10, 7, 9, 8. What is the mode?
    Show answer

    Answer: C. 9

    The mode is the value that appears most often. Size 9 appears three times.

  4. Question 4 of 16

    Jon's mean score on 5 tests is 84. His first four scores are 80, 90, 78 and 85. What was his fifth score?
    Show answer

    Answer: D. 87

    The 5 scores must add to 84 × 5 = 420. The first four add to 333, so the fifth is 420 − 333 = 87.

  5. Question 5 of 16

    Ana works 3 hours at $16 an hour and 5 hours at $20 an hour. What is her average pay per hour for the 8 hours?
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    Answer: B. $18.50

    This is a weighted average: (3 × $16 + 5 × $20) ÷ 8 = ($48 + $100) ÷ 8 = $18.50. Simply averaging $16 and $20 ignores the hours.

  6. Question 6 of 16

    The table shows a shop's sales. Between which two months did sales increase the most?
    MonthSales
    January120
    February135
    March128
    April150
    May162
    Show answer

    Answer: C. March to April

    The changes are +15, −7, +22 and +12. The largest increase, 22, is from March to April.

  7. Question 7 of 16

    A family's monthly take-home pay is $3,200. The table shows how a circle graph splits the budget. How much goes to food?
    Budget itemShare
    Rent35%
    Food20%
    Transportation15%
    Savings10%
    Other20%
    Show answer

    Answer: C. $640

    Food is 20% of the budget: $3,200 × 0.20 = $640.

  8. Question 8 of 16

    A scatter plot shows that students who study more hours tend to get higher test scores. How is this relationship described?
    Show answer

    Answer: B. A positive association

    When one value tends to go up as the other goes up, the points rise from left to right. That is a positive association.

  9. Question 9 of 16

    A box plot of delivery times (in minutes) shows: minimum 12, first quartile 18, median 25, third quartile 31, maximum 40. What is the interquartile range?
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    Answer: B. 13 minutes

    Interquartile range = third quartile − first quartile = 31 − 18 = 13 minutes. 28 is the full range.

  10. Question 10 of 16

    A bag has 4 red, 6 blue and 5 green marbles. You pick one without looking. What is the probability it is blue?
    Show answer

    Answer: B. 2/5

    Probability = favorable ÷ total = 6 ÷ 15 = 2/5.

  11. Question 11 of 16

    You flip a coin and roll a number cube (1 to 6). What is the probability of heads and a 6?
    Show answer

    Answer: A. 1/12

    The events are independent, so multiply: 1/2 × 1/6 = 1/12.

  12. Question 12 of 16

    You roll one number cube (1 to 6). What is the probability of rolling a 1 or a 6?
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    Answer: C. 1/3

    The two results cannot happen at the same time, so add: 1/6 + 1/6 = 2/6 = 1/3.

  13. Question 13 of 16

    A box holds 4 red pens and 6 black pens. You take one pen, keep it, and take another. What is the probability both are red?
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    Answer: A. 2/15

    Without replacement, the second pick has one fewer red and one fewer pen: 4/10 × 3/9 = 12/90 = 2/15.

  14. Question 14 of 16

    You have 4 shirts, 3 pairs of pants and 2 pairs of shoes. How many different outfits of one shirt, one pair of pants and one pair of shoes can you make?
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    Answer: A. 24

    Use the counting principle: multiply the choices. 4 × 3 × 2 = 24 outfits.

  15. Question 15 of 16

    A club of 5 people chooses a president, a vice president and a secretary. No one can hold two jobs. How many ways can this be done?
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    Answer: A. 60

    Order matters, so this is a permutation: 5 × 4 × 3 = 60.

  16. Question 16 of 16

    A pizza shop offers 6 toppings. How many ways can you choose 2 different toppings?
    Show answer

    Answer: D. 15

    Order does not matter, so this is a combination: (6 × 5) ÷ (2 × 1) = 15.

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