Statistics & Probability MCQs

Statistics & Probability MCQs

These Statistics & Probability multiple-choice questions and their answers will help you strengthen your grip on the subject of Statistics & Probability. You can prepare for an upcoming exam or job interview with these Statistics & Probability MCQs.
So scroll down and start answering.

1: What is the median of: 5, 10, 15?

A.   9.5

B.   15

C.   5

D.   10

2: What is the mean of a standard normal distribution?

A.   0

B.   0.5

C.   100

D.   1

E.   50

3: What is true about these 5 numbers? -2, -1, 0, 5, 10

A.   The mean is larger than the median.

B.   The median is larger than the mean.

C.   Cannot compare means and medians.

D.   The median and mean are equal to each other.

4: If a data set follows a normal distribution, approximately ___% of data falls within 1 standard deviation of the mean.

A.   68%

B.   0%

C.   25%

D.   100%

5: The number of cars that went through a car wash during the noon hour over each of the past 8 days are the following: 5, 9, 2, 3, 3, 9, 8, 6 What is the range of this data?

A.   7

B.   9

C.   5.6

D.   8

6: You flip an unbiased coin 2 times - what is the probability of getting 2 heads?

A.   50%

B.   Cannot determine

C.   100%

D.   75%

E.   25%

7: Discrete and continuous data are both forms of _______ data.

A.   incomplete

B.   qualitative

C.   quantitative

D.   None of these

8: What is the average of the following 5 numbers? 1, 2, 3, 4, 10

A.   1

B.   10

C.   4

D.   3

9: What is the mode of: 5, 10, 10, 15, 17?

A.   12

B.   5

C.   10

D.   11.2

10: What is the value of the middle observation in a ordered set of numbers

A.   Median

B.   Mode

C.   Central Standard

D.   Mean

11: The ______ describes the dispersion of a data set.

A.   standard deviation

B.   median

C.   None of these

D.   mean

12: Which of the following is quantitative data:

A.   A schedule of meetings

B.   Test scores for English class

C.   A list of song titles

D.   A prescription written by a physician

13: A mean calculation is a part of _______ statistics.

A.   non-parametric

B.   Neither of these

C.   parametric

14: Where would the outliers be if a distribution had a skewness of 0?

A.   Left

B.   No outliers

C.   Far right

D.   Right

E.   Far left

15: You flip an unbiased coin one time - what is the probability of getting tails?

A.   50%

B.   25%

C.   Cannot determine

D.   75%

E.   100%

16: The difference between the highest and lowest scores is called the ______.

A.   range

B.   mean

C.   sample

D.   mode

17: The Square of the standard deviation is called

A.   Covariance

B.   Variance

C.   Mean

D.   Squared Distribution

18: What is the mean of: 5, 10, 15?

A.   11

B.   1

C.   10

D.   5

19: A normal distribution generally takes the form of _______.

A.   square ruit

B.   bell curve

C.   None of these

D.   asymptote

20: What is the median of the following 5 numbers? 1, 2, 3, 4, 10

A.   4

B.   3

C.   1

D.   10

21: True or false? Qualitative data is strictly numerical.

A.   False

B.   True

22: What power is used in the formula for variance?

A.   4

B.   3

C.   5

D.   1

E.   2

23: What is the skewness of a normal distribution?

A.   3

B.   4

C.   2

D.   0

E.   1

24: The average grade on a midterm exam in a math class is 72. The teacher feels this is too low, so they award 10 extra points to every student in the class. What is the new average grade for the class?

A.   Not enough information.

B.   62

C.   82

D.   72

25: Two coins are tossed, what is the probability that two heads are obtained?

A.   .75

B.   .5

C.   .25

D.   0

E.   .125

26: The, "null hypothesis," refers to

A.   That the relationship depends on other factors

B.   That there is a minor relationship between two phenomena

C.   That there is a significant relationship between two phenomena

D.   that there is no relationship between two phenomena

27: Your college professor standardizes everyone's test scores. Your standardized score is -1.35. Which of the following statements is true?

A.   You scored within one standard deviation of the average test score.

B.   Your test score was above the average.

C.   Your test score was below the average.

D.   Your test score had the highest standard deviation.

28: The median grade on a midterm exam in a math class is 72. The teacher feels this is too low, so they award 10 extra points to every student in the class. What is the new median grade for the class?

A.   62

B.   82

C.   Not enough information.

D.   72

29: Which of the following is a measure of spread?

A.   Mean

B.   Lower Quartile

C.   Median

D.   Range

30: Which of the following is NOT a characteristic of a Normal distribution?

A.   Defined completely by mean and variance

B.   Unimodal

C.   Right Skewed

D.   Symmetric

31: Let A be a normal distribution with a mean of 3 and B be a normal distribution with a mean of 17. What is the mean of A+B?

A.   14

B.   3

C.   17

D.   20

E.   51

32: A forestry researcher recorded many variables on the trees of a large forest. These variables include the height (in meters), the diameter (in centimeters), the species (pine, oak, etc.), and if the tree had Dutch Elm disease. In this study which variables that were recorded were quantitative?

A.   Only species and height.

B.   Only height.

C.   Only height and diameter.

D.   All of the variables.

33: How can you convert a variance to a standard deviation?

A.   Variance = standard deviation

B.   Take the square root of the variance

C.   Take the cubed root of the variance

D.   Take the log of the variance

E.   Square the variance

34: Using previous games to predict the score of a game is an example of ________ statistics.

A.   inferential

B.   descriptive

C.   incomplete

D.   None of these

35: Bob is a high school basketball player, who is a 72% free throw shooter. Bob has missed his first four free throws of the game. What is the probability that Bob makes his fifth free throw?

A.   0%

B.   72%

C.   90%

D.   100%

36: Where would the outliers be if a distribution had a skewness of -50?

A.   Far left

B.   Left

C.   Right

D.   Far right

E.   No outliers

37: Over the last 360 days of winter in Raleigh, NC (5 winters) we have had snow on 36 days. What is the probability that we will have snow on any random winter day this year?

A.   0.05

B.   0.1

C.   0.01

D.   0.2

38: Which of the following is not a measure of spread?

A.   Variance

B.   Range

C.   Upper Quartile

D.   Standard Deviation

39: What is the probability of rolling a fair dice and getting an even number?

A.   1/2

B.   4/6

C.   1/6

D.   1/3

40: You calculate the standard deviation of a data set and find that it is -1.23. From this you can determine which of the following is true?

A.   The mean must be negative.

B.   You made an arithmetic mistake because standard deviation cannot be negative.

C.   Every value in the data set is the same.

D.   All of the values in the data set are negative.

41: Where would the outliers be if a distribution had a skewness of +1?

A.   Right

B.   Left

C.   Far right

D.   No outliers

E.   Far left

42: Suppose E is an event in a sample space S with probability .3. What is the probability of the complement of E?

A.   .3

B.   .7

C.   1

D.   0

43: What is true about these 5 numbers? -10, -5, 0, 1, 2

A.   Cannot compare means and medians.

B.   The median and mean are equal to each other.

C.   The median is larger than the mean.

D.   The mean is larger than the median.

44: How is P(A|B) interpreted?

A.   The probability that event A or event B happens

B.   The probability event A happens given that event B has happened

C.   The probability event A happens given that event B did not happen

D.   The probability event B happens given that event A has happened

45: Symbolism: What does the small sigma represent (without any other symbols) in statistics?

A.   Mean

B.   Skewness

C.   Expected Value

D.   Standard Deviation

E.   Variance

46: _____ are collections of observations.

A.   Random variables

B.   Data

C.   Expected values

D.   Populations

47: What is the difference between the mean and the median?

A.   Median is not affected by skewness of the distribution

B.   Both are always equal

C.   Mean is always greater than the Median

D.   Mean is not effected by skewness of the distribution

48: Where would the outliers be if a distribution had a skewness of +50?

A.   No outliers

B.   Right

C.   Left

D.   Far left

E.   Far right

49: A ______ is a numerical characteristic of a population

A.   None of these

B.   category

C.   parameter

D.   constraint

50: What is the probability of rolling a fair dice and getting a 1 and flipping a fair coin getting a head?

A.   1/12

B.   1/6

C.   3/12

D.   1/2