Statistical Probability MCQs

Statistical Probability MCQs

Try to answer these 30 Statistical Probability MCQs and check your understanding of the Statistical Probability subject.
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1: Sue took a test in both biology and math last week. The biology test had a mean of 70 and a standard deviation of 7, whereas the math test had a mean of 75 and a standard deviation of 10. Sue scored a 76 on the biology test and a 76 on the math test. On which test did she do better in comparison to the rest of the class?

A.   The math test

B.   The biology test

C.   She did the same on each test.

D.   Cannot be determined

2: In a negatively skewed distribution, the mode is ______ the median and ______ mean.

A.   Greater than; greater than

B.   Less than; less than

C.   Greater than; less than

D.   Less than; greater than

3: A z-score is most affected by the ______.

A.   Median

B.   Mode

C.   Standard deviation

D.   Range

4: In a negatively skewed distribution, the mean is ______ the median and ______ mode.

A.   Greater than; greater than

B.   Less than; less than

C.   Greater than; less than

D.   Less than; greater than

5: “Asymptotic” refers to the following:

A.   Another name for the bell curve

B.   Tails of the normal curve

C.   Folding a normal curve, with each half fitting perfectly on top of the other

D.   The area of the curve that lies above the mean

6: If Joe scored 25 on a test with a mean of 20 and a standard deviation of 5, what is his z-score?

A.   25

B.   +1.0

C.   0.0

D.   Cannot be determined

7: If the probability of getting a z-score between the mean of +1 standard deviation is 0.3413, what is the probability of getting a z-score of +1 standard deviation or less?

A.   0.3413

B.   0.1587

C.   0.6587

D.   0.8413

8: If the shape of a frequency distribution is lopsided, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?

A.   Normally

B.   Negatively

C.   Positively

D.   Average

9: A z score is a standard score with a:

A.   M = 2 and SD = -1

B.   M = 0 and SD = 0

C.   M = 0 and SD = 1

D.   M = 1 and SD = 0

10: When a z-score is NOT in the region of rejection, we should ______.

A.   Reject the idea that random chance produced a sample the represents the population poorly

B.   Conclude with the idea that the sample scores and the raw score population are similar enough to be called identical

C.   Not reject the idea that the sample represents the raw score population

D.   Reject the idea that the sample represents the raw score population

11: When a z-score is NOT in the region of rejection, we should ______.

A.   Reject the idea that random chance produced a sample the represents the population poorly

B.   Conclude with the idea that the sample scores and the raw score population are similar enough to be called identical

C.   Not reject the idea that the sample represents the raw score population

D.   Reject the idea that the sample represents the raw score population

12: Faculty in the psychology department at State University consumes an average of 5 cups of coffee per day with a standard deviation of 1.5. The distribution is normal. What is the percentile rank for an individual who consumed 8 cups of coffee per day?

A.   97.72

B.   2.28

C.   47.72

D.   None of these

13: If the shape of a frequency distribution is lopsided, with a long tail projecting longer to the right than to the left, how would the distribution be skewed?

A.   Normally

B.   Negatively

C.   Positively

D.   Average

14: What percentage of scores falls within three standard deviation of the mean?

A.   99.5%

B.   50%

C.   95%

D.   65%

15: Faculty in the psychology department at State University consume an average of 5 cups of coffee per day with a standard deviation of 1.5. The distribution is normal. What proportion of faculty consumes an amount between 4 and 6 cups?

A.   0.5468

B.   0.4972

C.   0.50

D.   None of these

16: Which type of shaped curve is normal curve?

A.   Line shaped

B.   Bell shaped

C.   Cone shaped

D.   All of these

17: A distribution of ____ that is symmetrical about the mean, the median, and the mode and has asymptotic tails is bell shaped curve.

A.   Variables

B.   Scores

C.   Curve

D.   None

18: The quality of the normal curve such that the tails never touch the horizontal axis is called

A.   Symptotic

B.   Asymptotic

C.   Skewness

D.   None

19: A raw score that is adjusted for the mean and standard deviation of the distribution from which the raw score comes is called

A.   Z score

B.   Y score

C.   X score

D.   Score

20: Z score is standard scores

A.   True

B.   False

21: The quality of a distribution that defines the disproportionate frequency of certain scores is called

A.   Kurtosis

B.   Skewness

C.   Asymptotic

D.   All of these

22: The quality of a distribution that defines how flat or peaked it is called

A.   Kurtosis

B.   Skewness

C.   Asymptotic

D.   All of these

23: The quality of a normal curve that is relatively ____ compared with a normal distribution.

A.   Flat

B.   Peaked

C.   Random

D.   Curved

24: The quality of a normal curve that is relatively ____ compared with a normal distribution.

A.   Flat

B.   Peaked

C.   Random

D.   Curved

25: An individual at the 50th percentile would have a z score of ______.

A.   Zero

B.   +1

C.   1

D.   Cannot be determined

26: As the degrees of freedom increase, the t distribution approaches the _____ distribution.

A.   Uniform

B.   Normal

C.   Exponential

D.   P

27: As the margin of error decreases, the width of the confidence interval _______________.

A.   Number of degrees of freedom

B.   Narrower for 90 percent confidence than 95 percent confidence

C.   The sample size is large

D.   Decreases

28: Selections made with replacement are considered to be _______.

A.   Independent

B.   Sample space

C.   Equally likely.

D.   Tree diagram.

29: This is an arrangement of data, usually in rows and columns. it is called a ___.

A.   Trend

B.   Dependant

C.   Table

D.   Correlation

30: In a probability histogram, there is a correspondence between _______.

A.   Random Variable

B.   Area and probability

C.   Expected value

D.   Number of success

31: The classical approach to probability requires that the outcomes are _______.

A.   Addition rule

B.   Equally likely

C.   Sample space

D.   Compound event