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ACT Math — Statistics and Probability — Drill 1

Drill 1 · Math · Statistics and Probability

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About This Drill

ACT Math — Statistics and Probability — Drill 1 is a Math practice drill covering Statistics and Probability. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

Statistics and Probability questions on the ACT cover measures of center (mean, median, mode), measures of spread (range, standard deviation), basic and conditional probability, and reading data from tables and graphs.

Questions in This Drill

  1. A student scored 82, 91, 75, 88, and 74 on five tests. What is the mean of the student's test scores?
  2. The ages of seven students in a tutoring group are: 14, 16, 14, 17, 15, 16, 16. What are the median and mode of this data set?
  3. A bag contains 5 red marbles, 3 blue marbles, and 7 green marbles. If one marble is selected at random, what is the probability that it is NOT green?
  4. The table below shows the results of a survey of 200 students about their preferred lunch option.
    Pizza  Salad  Sandwich  Total
    Grade 10    38     22       20      80
    Grade 11    30     28       32      90
    Grade 12    12     10        8      30
    Total        80     60       60     200
    If a student is selected at random from those who prefer pizza, what is the probability that the student is in Grade 11?
  5. Two classes each took the same 100-point test. Class A had a mean score of 74 with a standard deviation of 3. Class B had a mean score of 74 with a standard deviation of 11. Which of the following best describes the difference between the two classes' results?