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ACT Math Statistics and Probability: mean and median, probability, counting, data displays and expected value quiz quiz

12questions. Pick an answer and you'll see why right away.

  1. What is the median of the data set 3, 9, 5, 12, 7?

  2. A student's first three test scores are 75, 80 and 85. What score on a fourth test gives a mean of 82?

  3. A bag has 6 red, 2 blue and 4 green marbles. What is the probability of drawing a green marble?

  4. A fair coin is flipped three times. What is the probability of getting heads all three times?

  5. A diner has 5 sandwiches and 4 drinks. How many sandwich-and-drink combinations are possible?

  6. In how many ways can a president and a treasurer be chosen from 8 members?

  7. A pie chart shows that 35% of a $4,000 budget goes to housing. How much is that?

  8. What is the range of the data set 14, 9, 22, 6, 18?

  9. In a class, 8 students scored 95 and 12 students scored 70. What is the average score of all 20 students?

  10. A game pays 20withprobability0.3and20 with probability 0.3 and 0 with probability 0.7. What is the expected payout?

  11. Two marbles are drawn without replacement from a bag of 2 red and 3 blue. What is the probability both are red?

  12. A box plot shows min 5, Q1 10, median 13, Q3 18, max 25. What is the interquartile range (IQR)?