Directions: Read and understand each item below. Choose the best answer on the choices provided.

Review your answers before finalizing them. Good luck.

1. Which of the following describes a continuous random variable?*

1 point

A. the size of a family

B. the number of patients in a hospital

C. the number of babies born everyday

D. the average height of female athletes

2. Which of the following describes a discrete random variable?*

1 point

A. the total enrolled students in an online class

B. the average weight of female athletes

C. the average amount of electricity consumed

D. the amount of paint used in repainting a building

3. Which of the following describes a continuous random variable?*

1 point

A. the speed of a car

B. the number of female athletes

C. the days needed for quarantine

D. the number of people who are COVID positive

4. What is the sum of the probabilities of all values of the random variable?*

1 point

A. 0

B. 1

C. 2

D. 3

*

1 point

A

B

C

D

6. A milk tea shop owner decided to know how many cups of milk tea are sold in a day. What type of variable would the owner use in this scenario?*

1 point

A. categorical

B. continuous

C. discrete

D. nominal

7. All of the following statements are true, EXCEPT;*

1 point

A. The value of a random variable could be zero.

B. Random variables can only have one value.

C. The probability of the value of each random variable is not greater than one.

D. The sum of all the probabilities in a probability distribution is always equal to one.

*

1 point

A

B

C

D

9. If two coins are tossed, all of the following are possible values of the random variable representing the number of heads, EXCEPT;*

1 point

A. 0

B. 1

C. 2

D. 3

10. It is referred the sum of the scores divided by their count(how many are the scores).*

1 point

A. summation

B. variance

C. standard deviation

D. mean

11. It is describe as the amount of spread, dispersion, or variability of the items or data in a distribution.*

1 point

A. mean

B. probability

C. standard deviation

D. z-score

12. The following are the scores of students in Statistics quiz, 27, 18, 29, 11, 26, 23, 27, 29, 19, 20. What is the mean score?*

1 point

A. 21.6

B. 22.9

C. 23.5

D. 24

13. The normal curve is symmetrical with respect to the ___________.*

1 point

A. z-score

B. mean

C. standard deviation

D. variance

14. The total area under the normal curve is equal to__________.*

1 point

A. 0

B. 1

C. 2

D. 3

15. Given the z-score equal to 0.45, what is its equivalent area?*

1 point

A. 0.1554

B. 0.1915

C. 0.1736

D. 0.2054

16. It is referred as a measure that describes a population.*

1 point

A. statistic

B. parameter

C. mean

D. sample

17. The population standard deviation is equal to 4, what is its variance?*

1 point

A. 2

B. 4

C. 12

D. 16

18. Which of the following is an example of a parameter?*

1 point

A. the mean age of 50 students randomly selected from a population of 1000

B. the average height of 30% of the employees are used as a sample in a study

C. the mean years of experience of the Philippine Senate is composed of 24 senators.

D. the average scores of the sampled Grade 11 - Lapulapu students of CNHS

19. The Central Limit theorem says that the sampling distribution of the sample mean is approximately normal if __________.*

1 point

A. all possible samples are selected.

B. the sample size is large, that is n ? 30.

C. the standard error of the sampling distribution is small.

D. the sample size is large, that is n ? 30.

20. The Central Limit theorem says that the mean of the sampling distribution of the sample means is __________.*

1 point

A. equal to the population mean divided by the square root of the sample size.

B. close to the population mean if the sample size is large.

C. equal to the population mean.

D. equal to the square root of variance.

21. It refers to how a sample statistic is distributed when repeated trials of size n are taken from the population.*

1 point

A. parameter

B. probability distribution

C. sampling distribution

D. statistic

22. If samples of size 25 are selected from a population with mean of 40 and a standard deviation of 7.5, what is the mean of the sampling distribution of sample means?*

1 point

A. 7.5

B. 8

C. 40

D. 25

23. If samples of size 25 are selected from a population with mean of 40 and a standard deviation of 7.5, what is the standard deviation of the sampling distribution of sample means?*

1 point

A. 0.3

B. 1.5

C. 7.5

D. 4.0

24. The mean and standard deviation of a population are 200 and 20 respectively. If the sample size drawn from the population is 25, what is the standard deviation of the sampling distribution of sample means?*

1 point

A. 200

B. 25

C. 16

D. 4

25. Two fair dice are rolled. How many elements are there in the sample space?*

1 point

A. 8

B. 12

C. 24

D. 36

26. A certain population has a mean of 50 and a standard deviation of 4. A random sample of 15 is drawn from this population. Which statement below describes the sampling distribution of the sample means?*

1 point

A. The sampling distribution of the sample means has a mean of 50, variance of 1.067, and a standard deviation of 1.033.

B. The sampling distribution of the sample means ha s a mean greater than 50, and a standard deviation of 0.033.

C. The sampling distribution of the sample means has a mean less than 50, and a standard deviation of 1.033.

D. The sampling distribution of the sample mean has a mean of 50, a variance of 1.067, and a standard deviation of 0.033.

27. What is the mean of the probability distribution?*

1 point

A. 0.25

B. 0.5

C. 1.0

D. 1.25

28. What is the variance of the probability distribution?*

1 point

A. 1.875

B. 1.0875

C. 1.250

D. 1.025

29. What is the standard deviation of the probability distribution?*

1 point

A. 1.012

B. 1.118

C. 1.043

D. 1.369

30. Find the area under the normal curve in the probability notation P(2

1 point

A. 0.0157

B. 0.157

C. 0.215

D. 0.0215

31. Given ?=100 and ?=10 in a summative test, find the corresponding z-score if X = 95.*

1 point

A. 0.5

B. - 0.5

C. 5

D. - 5

32. What is the sample mean of the given data?*

1 point

A. 30

B. 35

C. 40

D. 45

33. Find the sample standard deviation of the given data.*

1 point

A. 62.5

B. 7.906

C. 56.2

D. 7.497

34. A population of senior citizen in Talisay has a mean age of 64 and a standard deviation of 10. If 30 random samples is drawn from this population, what is the sample mean of the sampling distribution?*

1 point

A. 60

B. 64

C. 74

D. 94

35. Based from item no. 34, what is the standard deviation of the sampling distribution?*

1 point

A. 1.826

B. 1.685

C. 0.333

D. 0.011

36. If 25 students are randomly selected from CNHS population with mean IQ of 90 and a standard deviation of 7.5, what is the mean of the sampling distribution of sample means?*

1 point

A. 7.5

B. 8

C. 25

D. 90

37. If two coins are tossed, find the probability that two heads will appear.*

1 point

A. 0.15

B. 0.25

C. 0.50

D. 0.75

38. What is the equivalent z-score of the 80th percentile?*

1 point

A. 0.23

B. 0.54

C. 0.78

D. 0.84

39. The following are the age of randomly selected SHS students; 16, 17, 16, 19, 18, 15, 17, 18. Find the mean age of the selected samples.*

1 point

A. 16

B. 17

C. 18

D. 19

40. The mean and standard deviation of a population are 85 and 8 respectively. If the sample size drawn from the population is 64, what is the standard deviation of the sampling distribution of sample means?*

1 point

A. 1

B. 8

C. 64

D. 85

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PHOTOS

5. What is the formula to be used in finding the probability of an event? A. P (B) = 1 B. P (B) = n(E) n (5) C. P (B) = n($) D. P (B)= n($) n($) n (E) 18. If P(X) = =, what are the possible values of X for the equation to represent a probability distribution? A. 0, 2, 3 B. 1, 2, 3 C. 2, 3, 4 D. 1, 1, 2\fFor numbers 32 and 33: The following are the scores of randomly selected students in Statistics Exam; 30, 40, 35, 25, and 45