Algebra 2 Trigonometry Multiple Choice Practice

Multiple Choice Practice
Statistics & Probability
Algebra 2 Trigonometry Level
Algebra 2Trig Index | Regents Exam Prep Center

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Statistics and Probability

Directions: Choose the best answer. Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers. If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again. You may CHECK ANSWERS at any time.
You may use a calculator when working on these problems.

1. A survey was developed to estimate the average number of hours per week that adults spend exercising. Every third person entering a large fitness complex was surveyed, with a total of 2,500 people being surveyed. The data showed that the mean number of hours spent exercising was 3.2 hours per week. Which characteristic of the survey could create a bias in the results?

       [1] the size of the sample
      [2] the method of analyzing the data
      [3] the method of choosing the people who were surveyed
      [4] the size of the population

2. The data, shown at the right, was collected regarding the class size of the Advanced Placement courses offered at a local high school. Which statement about the range of this sample is true?
    [1] range < standard deviation
    [2] range = mean
    [3] range > mean
    [4] range < mean

Class Size	Frequency
14	2
10	3
8	1

3. Jason and Eric discovered that the means of their grades for the first marking period in their math class were identical. They also noticed that the standard deviation of Jason's grades is 20.7, while the standard deviation of Eric's grades is 2.7. Which statement must be true?

     [1] In general, Eric's grades were lower than Jason's grades.
     [2] Eric's grades are more consistent than Jason's grades
    [3] Eric had more failing grades during the marking period than Jason had.
     [4] The median for Eric's grades is lower than the median for Jason's grades.

4. The population growth in Youngstown is shown in the accompanying graph. If the same pattern of population growth continues, what will the population of Youngstown be in the year 2020?
     [1] 64,000
      [2] 40,000
     [3] 32,000
     [4] 20,000

5. Which graph represents data used in a linear regression that produces a correlation coefficient closest to -1?

[1] [2] [3] [4]

6. On a standardized test, Alisha received a score of 85, which was exactly 2 standard deviations above the mean. If the standard deviation for the test is 4, what is the mean for this test?

[1] 93 [2] 87 [3] 83 [4] 77

7. In the accompanying diagram, about 68% of the scores fall within the shaded area, which is symmetric about the mean

. The distribution is normal and the scores in the shaded area range from 50 to 80. What is the standard deviation of the scores in this distribution?
[1] 7.5 [2] 15 [3] 30 [4] 65

8. The average score for a Biology test is 77 and the standard deviation is 8. Which percent best represents the probability that any one student scored between 61 and 93 on the test?

[1] 99.5% [2] 95% [3] 68% [4] 34%

9. If _nC_r represents the number of combinations of n items taken r at a time, what is the value of

[1] 24 [2] 14 [3] 6 [4] 4

10. A basketball squad has ten players. Which expression represents the number of five-player teams that can be made if Tucker, the team captain, must be on every team?

[1] ₁₀C₅ [2] ₉C₄ [3] ₉P₄ [4] ₁₀P₅

11. A committee of five members is to be randomly selected from a group of nine freshman and seven sophomores. Which expression represents the number of different committees of three freshman and two sophomores that can be chosen?

[1] ₉P₃ � ₇P₂ [2] ₉C₃ + ₇C₂ [3] ₁₆C₃ � ₁₆C₂ [4] ₉C₃ � ₇C₂

12. The spinner, shown at the right, is spun twice. What is the probability that it will land in section G the first time and then in section B the second time?
[1] 1/2 [2] 1/4 [3] 1/8 [4] 1/16

13. A fair coin is tossed 5 times. What is the probability that it lands tails up exactly 3 times?
[1] [2]

[3]

[4]

14. If a fair coin is tossed four times, what is the probability of obtaining at most one head?
[1] 1/16 [2] 4/16 [3] 5/16 [4] 11/16

15. If three fair coins are tossed, what is the probability of getting at least two heads?

[1] 2/3 [2] 1/2 [3] 3/8 [4] 1/8

16. A bag contains 12 red Skittles, 12 blue Skittles, and 12 green Skittles candies. What is the probability of drawing two candies of the same color in a row, when the first candy drawn is looked at and eaten?

[1] 11/35 [2] 12/36 [3] 11/105 [4] 2/36

17. The average amount earned by 110 juniors for a week was $35, while during the same week 90 seniors averaged $50. What were the average earnings for that week for the combined group?

[1] $41.75 [2] $42.50 [3] $43.50 [4] $47.55

18. For the data shown at the right, find the population variance of the distribution, to the nearest tenth.
     [1] 134.0
     [2] 307.3
     [3] 17,967.7
     [4] 29,500.0

Score	100	200	300	400	500
Frequency	15	21	19	24	17

19. A bacteria is growing exponentially, as seen in the accompanying chart.   Which exponential regression equation best represents this data?
(Values have been rounded to the nearest tenth.)
     [1] y = 32.6�(1.6^)x
      [2] y = 15.1�(0.8^)x
      [3] y = 22.3�(1.4^)x
      [4] y = 20.5�(1.9^)x

Hours since observation began ..	Number of bacteria in the sample ..
0	20
1	40
2	75
3	150
4	297
5	510

20. A pair of dice are rolled. What is the probability of rolling 10 or less?

[1] 3/36

[3] 10/36

[2] 33/36

[4] 6/36

Algebra 2 Trig Index | Regents Exam Prep Center