Statistics & Probability

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Q. If the mean of a data set is 30 and the total number of observations is 10, what is the total sum of the observations?
  • A. 300
  • B. 150
  • C. 100
  • D. 50
Q. If the mean of a data set is 50 and the standard deviation is 5, what is the z-score of a value 60?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If the probability of an event is 0.2, what is the probability of the event not occurring?
  • A. 0.2
  • B. 0.5
  • C. 0.8
  • D. 1
Q. If the probability of an event occurring is 0.2, what is the probability of it not occurring?
  • A. 0.2
  • B. 0.5
  • C. 0.8
  • D. 1
Q. If two events A and B are independent, what is the probability of both A and B occurring?
  • A. P(A) + P(B)
  • B. P(A) * P(B)
  • C. P(A) - P(B)
  • D. P(A) / P(B)
Q. If you flip a fair coin three times, what is the probability of getting exactly two heads?
  • A. 1/8
  • B. 3/8
  • C. 3/4
  • D. 1/2
Q. If you have 4 different shirts and 3 different pairs of pants, how many different outfits can you create?
  • A. 12
  • B. 7
  • C. 10
  • D. 15
Q. If you have 4 different shirts and 3 different pants, how many outfits can you create?
  • A. 7
  • B. 10
  • C. 12
  • D. 15
Q. If you have 5 different books and want to select 2 to read, how many combinations are possible?
  • A. 10
  • B. 15
  • C. 20
  • D. 25
Q. If you have 6 different books and want to select 2 to read, how many combinations can you make?
  • A. 15
  • B. 30
  • C. 20
  • D. 25
Q. In a class, the grades are: 88, 92, 76, 85, 90. What is the mode?
  • A. 76
  • B. 85
  • C. 88
  • D. No mode
Q. In a class, the scores of 10 students are: 85, 90, 75, 80, 95, 70, 80, 85, 90, 100. What is the mean score?
  • A. 85
  • B. 80
  • C. 90
  • D. 75
Q. In a data set of 7, 8, 9, 10, 10, 10, 11, what is the mode?
  • A. 7
  • B. 8
  • C. 10
  • D. 11
Q. In a data set, if the mean is 50 and the standard deviation is 5, what is the z-score of a value 60?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. In a data set, the mode is 7. What does this indicate?
  • A. The average is 7
  • B. 7 appears most frequently
  • C. The median is 7
  • D. There are no repeated values
Q. In a data set, the mode is defined as what?
  • A. The average value
  • B. The middle value
  • C. The most frequently occurring value
  • D. The range of values
Q. In a data set, the mode is defined as which of the following?
  • A. The average value
  • B. The middle value
  • C. The most frequently occurring value
  • D. The range of values
Q. In a dataset of test scores: 70, 75, 80, 85, 90, what is the mean score?
  • A. 75
  • B. 80
  • C. 85
  • D. 90
Q. In a dataset of the ages of five siblings: 10, 12, 14, 16, and 18, what is the mean age?
  • A. 12
  • B. 14
  • C. 16
  • D. 10
Q. In a dataset of the following weights (in kg): 60, 70, 80, 90, 100, what is the median weight?
  • A. 70
  • B. 80
  • C. 90
  • D. 100
Q. In a dataset: 10, 20, 30, 40, 50, what is the median?
  • A. 20
  • B. 30
  • C. 40
  • D. 50
Q. In a dataset: 4, 4, 4, 5, 6, 7, what is the median?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. In a normal distribution, what percentage of data falls within one standard deviation of the mean?
  • A. 50%
  • B. 68%
  • C. 95%
  • D. 99.7%
Q. In a survey, the ages of participants are: 22, 25, 25, 30, 35. What is the mean age?
  • A. 25
  • B. 26
  • C. 27
  • D. 30
Q. In a survey, the number of pets owned by 6 families is: 1, 2, 2, 3, 4, 4. What is the mode?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. In how many different ways can you arrange 3 red balls and 2 blue balls?
  • A. 10
  • B. 30
  • C. 60
  • D. 5
Q. In how many ways can you choose 2 fruits from a selection of 5 different fruits?
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. In how many ways can you choose 3 fruits from a basket of 10 different fruits?
  • A. 120
  • B. 720
  • C. 10
  • D. 1200
Q. In how many ways can you choose 4 toppings from a list of 10?
  • A. 210
  • B. 240
  • C. 300
  • D. 360
Q. In the data set 10, 12, 10, 14, 16, what is the mode?
  • A. 10
  • B. 12
  • C. 14
  • D. 16
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