APAYAO STATE COLLEGE

Third Quarter Examination in

Statistics and Probability
Second Semester 2020
Name: _______________________________ Score: ____
Grade & Yr.______ Date:_____

I. Multiple Choice.
Directions. Choose the letter that corresponds to the correct answer and write the letter on the
space provided before the number.
 ERASURES MEANS WRONG
_____1 If three coins are tossed, which is
possible value of the random variable for the X
_____5. If P(X) = , what are the possible
number of heads. 6
a. 4 b. 5 c. 2 values of X for it to be a Probability
d.3 distribution?
_____2. Which of the following is a not a. 2,3,6 b. 1,2,3 c. 2,3,4 d. 3,2,1
continuous random variable? For numbers 6-7, refer to the probability
a. the average amount of electricity in a distribution shown below?
hospital X 0 2 4 6 8
b. the amount of paint used in P(X) 1 1 1 1 1
repainting a building 5 5 5 5 5
c. the number of patients in a hospital
d. the average weight of female ____6. What is the mean of the probability
athletes distribution?
_____3. Which of the following is not a true a. 1.5 b. 2.0 c. 3.5 d. 4.0
statement? ____7. What is the variance of the probability
a. the value of a random variable could distribution?
be zero. a. 4.15 b. 6.35 c. 8.00 d. 7.50
b. Random variables can only have one For numbers 8-10, refer to the probability
value distribution shown below.
c. the probability of the value of a X 0 1 2 3
random variable could be one. P(X) 1 3 3 1
d. the sum of all the probabilities in a
8 8 8 8
probability distribution is always equal
_____8. What is the mean of the probability
to one.
distribution?
a. 1.5 b. 1.2 c. 1.6 d. 1.8
For numbers 4-5, refer to the probability
_____9. What is the variance of the probability
distribution shown below.
distribution?
X 2 3 6 a. 0.57 b. 1.75 c. 1.25 d. 0.75
P(X) 1 1 1 _____10. What is the standard deviation of the
2 3 6 probability distribution?
a. 1.87 b. 0.78 c. .87 d. 0.71
_____4. Which formula gives the probability
distribution shown by the table?
1 X 6
a. P(X) = b.P(X) = c. P(X) = d.
X 6 X
1
P(X) =
6
 TEST II PROBLEM SOLVING UNDERSTANDING TEST RESULTS (20 POINTS)

1. The results of nationwide aptitude test in mathematics are normally distributed with m = 60 and s = 15.
Find the raw score such that 90% the cases are below it.

II. Determine whether the statements is TRUE or FALSE. Write S if the statement is true and R if the
statement is false. Write your answer on the space provided. ( 2 points each)
____1. the expression 68% is equal to 0.68
____2. a probability value is a number from 0 to 1
____3. the normal curve is a probability distribution
____4. the scores at the base line of the normal curve are called z.
____5. The Mean is 60 ; standard deviation is 5 and X = 70, then the z-score is 1.

III. Locate the z-value that corresponds to a MATH score of 50 given that mean is 60 and the
standard deviation is 9. ( 2 points each)

Step solution
1. use the computing for finding z-scores of
population data
2. check the given values. the z-score in
questions locates X in a population
3. Substitute the given values in the computing
formula
4. Compute the Z- value

5. interpretation

IV. Given the population 1, 3, 5, and 6 . Suppose samples of size 2 are drawn from this population.
a. List all the possible samples and the corresponding mean (10 points)
b. Construct the sampling distribution of the sample means.( 10 points)

Prepared by: Approved and Noted by:

SHELA M. RAMOS ZENAIDA A. CRUZ

Instructor SHS Coordinator
 APAYAO STATE COLLEGE
Third Quarter Examination in
Statistics and Probability
Second Semester 2020
Name: __________ Date:_____
Grade & Yr.______ Score: ____

I. Multiple Choice.
Directions. Choose the letter that corresponds to the correct answer and write the letter on the
space provided before the number. (2 points each)

_____1 If two coins are tossed, which is not possible value of the random variable for the number
of heads.
a. 0 b. 1 c. 2 d.3
_____2. Which of the following is a discrete random variable?
a. the average amount of electricity in a hospital
b. the number of patients in a hospital
c. the amount of paint used in repainting a building
d. the average weight of female athletes
_____3. Which of the following is not a true statement?
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 a random variable could be zero.
d. the sum of all the probabilities in a probability distribution is always equal to one.
_____4. Which formula gives the probability distribution shown by the table?

X 2 3 6
P(X) 1 1 1
2 3 6
1 6
a. P(X) = c. . P(X) =
X X
X 1
b. . P(X) = d. . P(X) =
6 6

X
_____5. If P(X) = , what are the possible values of X for it to be a Probability distribution?
6
a. 0,2,3 b. 1,2,3 c. 2,3,4 d. 1,1,2
For numbers 6-8, refer to the probability distribution shown below.
X 0 1 2 3
P(X) 1 3 3 1
8 8 8 8
_____6. What is the mean of the probability distribution?
a. 1.5 b. 1.2 c. 1.6 d. 1.8
_____7. What is the variance of the probability distribution?
a. 0.75 b. 1.00 c. 1.25 d. 0.50
_____8. what is the standard deviation of the probability distribution?
a. 1.00 b. 0.87 c. 1.12 d. 0.71

For numbers 9-10, refer to the probability distribution shown below?

X 0 2 4 6 8
 P(X) 1 1 1 1 1
5 5 5 5 5

____9. What is the mean of the probability distribution?

a. 1.5 b. 2.0 c. 3.5 d. 4.0
____10. What is the variance of the probability distribution?
a. 4.15 b. 6.35 c. 8.00 d. 7.50

II. Determine whether the statements is TRUE or FALSE. Write E if the statement is true and S if the
statement is false. Write your answer on the space provided. ( 2 points each)

____1. the expression 68% is equal to 0.68

____2. a probability value is a number from 0 to 1
____3. the normal curve is a probability distribution
____4. the scores at the base line of the normal curve are called z.
____5. The Mean is 60 ; standard deviation is 5 and X = 70, then the z-score is 1.

III. Locate the z-value that corresponds to a MATH score of 50given that mean is 58 and the standard
deviation is 6. (2 points each)

Step solution
1. use the computing for finding z-scores of
population data
2. check the given values. the z-score in
questions locates X in a population
3. Substitute the given values in the computing
formula
4. Compute the Z- value

5. interpretation

IV. Given the population 1, 3, 5, and 6 . Suppose samples of size 2 are drawn from this population.
(20 points)
a. List all the possible samples and the corresponding mean
b. Construct the sampling distribution of the sample means.

Prepared by: Approved and Noted by:

 SHELA M. RAMOS ZENAIDA A. CRUZ
Instructor SHS Coordinator

Republic of the Philippines

Apayao State College
Conner, Apayao Philippines 3807
Email address: asc1998 conner@yahoo.com
Second Semester 2020

THIRD GRADING

Table of specification in STATISTICS and PROBABILITY (GRADE 11)

Comprehension analysis Application

Topic skills I II III IV TOTAL
I. Random 1-20 1-10 20
variable and
Probability
distribution
II .Understanding 10 1-10 10
the z-score
III. Identifying 10 1-10 10
Regions of Areas
Under the
Normal Curve
IV. Finding the 20 1-20 20
Mean of the
Sampling
distribution of
Means
TOTAL 20 20 20 60
PERCENTAGE 33.33% 33.33% 33.33% 100%

Prepared By: Approved By:

SHELA M. RAMOS ZENAIDA A. CRUZ

 Instructor SHS Coordinator

Republic of the Philippines

Apayao State College
Conner, Apayao Philippines 3807
Email address: asc1998 conner@yahoo.com

THIRD GRADING

Table of specification in STATISTICS and PROBABILITY (GRADE 11)

Comprehension analysis Application

Topic skills I II III IV TOTAL
I. Random 1-20 1-10 20
variable and
Probability
distribution
II .Understanding 10 1-10 10
the z-score
III. Identifying 10 1-10 10
Regions of Areas
Under the
Normal Curve
IV. Finding the 20 1-20 20
Mean of the
Sampling
distribution of
Means
TOTAL 20 20 20 60
PERCENTAGE 33.33% 33.33% 33.33% 100%

Prepared By: Approved By:

SHELA M. RAMOS ZENAIDA A. CRUZ

Instructor SHS Coordinator
 APAYAO STATE COLLEGE
Third Quarter Examination in
Statistics and Probability
Second Semester 2017-2018
Name: _______________________________ Score: ____
Grade & Yr.______ Date:_____

Test I. A. Classify the following random variables as discrete or continuous.

_________1. Number of Siblings

_________2. Usual Daily Allowance in School (in pesos)
_________3. Usual Number of Text Messages Sent in a Day
_________4. Body Temperature
_________5. Total household expenditures last month in pesos
_________6. Number of children in a household
_________7. Amount spent on rice last week by a household
_________8. Distance travelled by the teacher in going to school
_________9. Time (in hours) consumed on Facebook on a particular day.
_________10. ownership of a cell phone among family members.

B. Find the Probability of the following events.

1. What is the probability of rolling, on a fair dice:

______a. a number lying between o and 7?
______b. a number greater than 4?
______c. an even number?
______d. a 3?
______e. a multiple of 3 given that an even number was drawn.
2. The family of Justine delivers newspaper, one to each house in their village,

Daily Tribune 60 Manila Bulletin 150

Philippine Star 250 Manila Times 140
Philippine Daily Inquirer 300 Manila Standard Today 100

What is the probability that a house picked at random has:

_______a. The Manila Times

_______b. A newspaper other than Daily Tribune
_______c. The Manila Standard Today or the Philippine Daily Inquirer?

3. What would be the probability of

_______b. picking a face card
_______c. picking a black card at random from a standard deck of 52 cards?
II. Determine whether the statements is TRUE or FALSE. Write S if the statement is true and S if the
statement is false. Write your answer on the space provided. ( 2 points each)
____1. the expression 68% is equal to 0.68
____2. a probability value is a number from 0 to 1
____3. the normal curve is a probability distribution
____4. the scores at the base line of the normal curve are called z.
____5. The Mean is 60 ; standard deviation is 5 and X = 70, then the z-score is 1.

III. Determine each of the following areas and show these graphically. Use Probability notation in
your final answer.

1. To the left of z = 2.78

2. To the right of z= 1.32
3. Above z = 1.46
4. Between z = -.78 and z = -1.95
5. Between z = -0.92 and z = 1.75

Prepared by: Approved by:

SHELA M. RAMOS ZENAIDA A. CRUZ

Instructor SHS, Coordinator
 APAYAO STATE COLLEGE
Fourth Quarter Examination in
Statistics and Probability
Second Semester 2018

Name: __________________________________ Date: _____

Grade and Section: ________________________ Score: ____

Test I. Select the correct answer and encircle the appropriate letter.
ERASURES MEANS WRONG.
1. The area under the normal curve between z = 1.24 and z = -1.24 is
a. 0.3925 b. 0.3849 c. 0. 7698 d. 0.7850

2. What do we call the probability that a parameter is contained in a range of values?

a. Confidence level b. Confidence limit c. confidence coefficient d. confidence
interval
3. The mean of the standard normal distribution is
a. 0 b. 1 c. 100 d. -1.

4. For every normal distribution, about what percentage of the area under the curve is within 1
standard deviation?
a. 34% b. 50% C. 68% D. 95%

5. The normal curve is

a. asymmetric b. bimodal c. multimodal d. symmetric

6. The values that mark the boundaries of the confidence interval.

a. Margin of error c. confidence limit
B. Level of confidence d. confidence intervals

7. The best point estimate of the population is

a. the sample mean c. the sample median
b. the sample mode d. the sample midrange

8. If the sample size is constant and it is large, what happens to the width of the confidence interval
for the population mean (where the population standard deviation is given) as the confidence
coefficient increases?
a. It increases b. it decreases c. it becomes zero d. it remains
constant.

9. What is the value of alpha for a 97% confidence interval?

a. 0.10 b. 0.05 c. 0.03 d. 0.01

10. The population mean is an example of a (n)

a. statistic b. parameter c. confidence interval d. interval estimate

11. which of the following percent confidence interval will be the widest for a particular data set that
includes exactly 500 cases?
a. 90% b. 95% c. 98% d. 99%

12. As a sample increases, what tends to happen to 95% confidence intervals?

a. they become wider c. they become more precise
b. they become more narrow d. both b and c

13. It is a range of numbers inferred from the sample that has certain probability of including the
population parameter over the long run.
a. confidence interval c. Probability limit
b. class limit d. class boundaries

14. A good way to get a small standard error is to use a

a. small sample b. large sample c. large population d. repeated sampling

15. Which of the following assumptions is not needed to use the t distribution to make a confidence
interval for population mean?
a. the sample size is less than 30
b. the population standard deviation is not known.
c. the sample size is at least 10
d. the population from which the sample is taken is approximately normally distributed.

16. In a pair sample t-test with 80 participants the appropriate df is

a. 40 b. 78 c. 79 d. 80

17. The form of the alternative hypothesis can be

a. one –tailed
b. two-tailed
c. neither one-tailed nor two-tailed
d. either one-tailed or two-tailed

18. A result is called “statistically significant” whenever

a.

II.