Statistics and probability test questions

Statistics and Probability Questions
Prepared by: Ross Christian Manuel

1. The word “statistics” actually comes from the word
_______ because governments have been involved in the
statistical activities, especially the conduct of censuses
either for military or taxation purposes.
a. state c. compute
b. logic d. research
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2. In statistical activities, facts are collected from
respondents for purposes of getting aggregate information,
but confidentiality should be ________.
a. in public, where others can see it
b. protected
c. abused
d. all of the above
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3. In data collection, is it required for the respondents to fill
out their specific identities/name?
a. Yes, because the researcher needs it
b. No, because people have a right to confidentiality
c. Yes, because it is a responsibility of the respondents
d. none of these
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4. It refers to the methods for protecting the data that are
collected. It refers both to the promises made to survey
participants that they will not be identified in any way to
those outside the organization without their specific
permission.
a. Problem Solving c. Statistical Research
b. Confidentiality d. Both A and B
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5. The central statistical authority on primary data
collection in the Philippines by conducting censuses on
different sectors of the Philippines economy such as
population, housing, agriculture, fisheries and business.
a. DepEd c. NSO
b. PSA d. DOH
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6. Facts and figures that are presented, collected and
analyzed. These are either numeric or non-numeric and
must be contextualized.
a. Census c. Data
b. Contextualization d. PSA

7. Number of siblings, weight, height, and age of mother are
examples of _______.
a. Universe c. Population
b. Variable d. Sample

8. The collection or set of units or entities from whom we
got the data.

9. The set of all possible values of a variable.

10. It refers to the chance that something will happen.
a. Probability c. Statistics
b. Algebra d. Geometry

11. Which one of the following is continuous data?
a. The cat has 2 eyes c. The cat has 2 kittens
b. The cat has 4 paws d. The cat weights 5.4 kg

12. Which one of the following is discrete data?
a. Sam is 160 cm tall
b. Sam ran 100 meters in 10.2 seconds sister
c. Sam weighs 60 kg
d. Sam has two brothers and one

13. Which of these is NOT continuous data?
a. A person's height each year
b. The volume of water in a swimming pool each day
c. Cars finished in a factory each day
d. A person's weight on each birthday

14. A coin is tossed 50 times, and it lands on heads 28
times. Find the experimental probability of the coin landing
on heads.
a. 11/25 c. 28
b. 28/100 d. 14/25

15. Find the theoretical probability of a coin landing on head.
a. 1 c. 1/4
b. 1/2 d. 0

16. The probability of an event happening is:
a. between 0 and 1 c. always 1
b. always 0 d. none of the answers are correct

17. Which of the following is true about subjective
probability?
a. It is not calculated mathematically.
b. It can be based on a guess.
c. It can be based on previous experiences.
d. All of the answers are correct.

18. Assume we roll a 6 – sided die 80 times, and 24 of those
times we rolled a two. Based on these results, if we roll the
die again, what is the empirical probability that we will roll a
two?
a. 24/80 = 0.3
b. 80/24 = 3.33
c. 24/2 = 12
d. 2 / 80 = 0.025

19. If you flip a coin 4 times, what is the probability you get
heads, heads, tails, heads in that order?
a. 1/8
b. 1/2
c. 1/16
d. 1/32

20. One marble jar has several different colored marbles
inside of it. It has 1 red, 2 green, 4 blue, and 8 yellow
marbles. All the marbles are the same size and shape. If
Peter takes out a marble from the jar without looking, what
is the probability that he will NOT choose a yellow marble.
a. 8/15
b. 7/15
c. 7/8
d. 8/7

21. What is the median of the following set of numbers?
{12,8,13,4,7,6,3,3,15}
a. 12 c. 7
b. 8 d. 7.5

22. What is the mode and mean for the following set of
numbers? {4,9,8,2,16,4,4,8,9,6}
a. mean = 7, mode =8 c. mean = 6, mode =8
b. mean = 7, mode =4 d. mean = 8, mode =9

23. The PE room at school has a variety of colored balls
that can be used to play in the school yard. There are 16
red balls, 12, blue balls, 8 yellow balls, and 11 pink balls.
What is the probability that you are going to get a pink ball?
a. 11/36 c. 36/47
b. 11/47 d. None of the above

24. Using the data below, approximately what
percentage of students buy either hot dogs or
hamburgers from the cafeteria at lunch?
a. 65% c. 39%
b. 26% d. 75%

25. What is the range of the following set of data?
{ 2,5,2,8,45,8,17,9,16}
a. 43 c. 15
b. 45 d. none of the above

26. Find the mean of the probability distribution.
a. 85 c. 83.2
b. 87.1 d. 84.4

27. A distribution of data has a mean of 15 and a standard
deviation of 2. How many standard deviations away from the
mean is a value of 13?
a. It is one standard deviation above the mean.
b. It is two standard deviations above the mean.
c. It is one standard deviation below the mean.
d. It is two standard deviations below the mean.

28. What is the value of mode in standard normal
distribution?
a. 1 c. Not Fixed
b. 0 d. None

29. About which of the following is a normal distribution
symmetric?
a. Covariance c. Mean
b. Standard deviation d. Variance

30. What shape is a normal distribution curve?
a. Half curve c. Round curve
b. Bell curve d. Square curve

31. What is the z-value for X=24 in a set of normally
distributed data with µ=20 and σ=1.6 ?
a. -4
b. -2.5
c. 0.4
d. 2.5

32. The whole group from which a sample is taken.
a. Sample size
b. Population
c. Bias
d. none of these

33. In our hypothesis statements, if our alternative
statement determines that our parameter is not equal to
our hypothesized value, for example: μ≠75 , then we must
conduct a test.
a. right-tail
b. left-tail
c. two-tail
d. no-tail

34. Which of the following is the FIRST step of a hypothesis
test?
a. Check assumptions and conditions
b. State your conclusion
c. Find your test statistic
d. State your null and alternative hypothesis

35. Which of the following is not an option for an alternate
hypothesis?
a. 𝐻 𝑎: 𝜇 = 𝑘 c. 𝐻 𝑎: 𝜇 > 𝑘
b. 𝐻 𝑎: 𝜇 < 𝑘 d. 𝐻 𝑎: 𝜇 ≠ 𝑘

36. Which of the following is not an option for an alternate
hypothesis?
a. 𝐻 𝑎: 𝜇 = 𝑘 c. 𝐻 𝑎: 𝜇 > 𝑘
b. 𝐻 𝑎: 𝜇 < 𝑘 d. 𝐻 𝑎: 𝜇 ≠ 𝑘

37. Which of these is a correct null hypothesis?
a. 𝐻0: ∝ = 12 c. 𝐻0: 𝜇 ≠ 12
b. 𝐻0: 𝜇 = 12 d. 𝐻0: 𝜇 > 12

38. Describe the correlation in the graph shown.
a. Strong Negative c. Strong Positive
b. Weak Negative d. Weak Positive

a. No Correlation c. Strong Positive

a. Strong Negative c. Strong Positive

41. What would be the correlation be between study time
and test grades?
a. Positive Correlation
b. No Correlation
c. Negative Correlation
d. Cannot Be Determined

42. What would the correlation be between math grades and
the time it takes to run a mile ?
b. No Correlation

43. What would the correlation be between math grades and
the time it takes to run a mile ?
b. No Correlation

44. What hypothesis states equality or no difference, or no
relationship/effect?
a. Statistical hypothesis c. Null hypothesis
b. Alternative hypothesis d. none of these

45. What hypothesis states no equality or existence of
differences, relationship, or effect?
a. Statistical hypothesis c. Null hypothesis
b. Alternative hypothesis d. none of these

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