Department of Education

Region IV-A CALABARZON

Division of Batangas
San Juan West District
PALAHANAN INTEGRATED NATIONAL HIGH SCHOOL

NOT YOUR FIRST PERIODIC TEST

Grade 11 --- STATISTICS & PROBABILITY

Name: _______________________________ Date: _____________________________

Strand: _______________________________ Score: ____________________________

DIRECTIONS: Read and analyze each of the given situations then choose the letter of the correct answer and write it on
the space provided before each number.

_____1. Which of the following is a class of variable that accept only finite and countable values?
A. continuous random variable C. interior random variable
B. discrete random variable D. posterior random variable.
_____ 2. Which of the following variables describes a continuous random?
A. Age of a person C. number of students in a class
B. kids in a party D. plate in a cabinet
_____ 3. The following describe continuous random variable except
A. Height of a person C. Shoe size
B. No. of electric fans D. Waist line
_____4. Which of the following does not belong to the group?
A. No. of chairs C. No. of windows
B. No. of tables D. Weight of students
_____5. In rolling a pair of dice, how many outcomes have an even sum greater than 11?
A. 1 B. 2 C. 3 D. 4
_____6. How many outcomes are there in tossing four coins simultaneously?
A. 8 B. 12 C. 16 D. 20
_____ 7. Probability distribution of discrete random variable is classified as
A. continuous mass function C. posterior mass function.
B. interior mass function D. probability mass function.
_____ 8. What is the sum of the probability distribution?
A. 25% B. 50% C. 75% D. 100%
_____ 9. Given the probability distribution below, which color of the balloon has the highest chance of being drawn?
Balloons P(B)
Red 1/12
Yellow 5/12
Green 4/12
Blue 2/12

A. Blue B. Green C. Red D. Yellow

For items 10-12. The table below shows the probability distribution when tossing three coins simultaneously.

No. of Heads Frequency Probability

(x) (f) P(x)
0 1 1/8 or 0.125
1 3 3/8 or 0.375
2 3 3/8 or 0.375
3 1 1/8 or 0.125

_____ 10. What is the probability of getting at least two heads?

A. 0.125 B. 0.375 C. 0.500 D. 1.000
_____11. Based on the table, which highest chance to be an outcome?
A. one head B. one to two heads C. two to three heads D. cannot be determined
_____ 12. Construct a histogram in tossing three ( 3 ) coins simultaneously.

_____ 13. What is the probability that any event will happen?
A. Always 0 C. between 0 to 1
B. Always 1 D. from 0 and 1
14-15. In a basket there are three ( 3 ) oranges, five ( 5 ) apples, six ( 6 ) bananas and three ( 3 ) lemon.

_____14. What is the probability that an apple will be picked?

A. 3/17 B. 5/ 17 C. 6/17 D. 17/17
_____ 15. What is the chance of getting an apple and a banana?
A. 8/ 17 B. 9/17 C. 11/17 D. 17/17
_____ 16. If I calculate the probability of an event and it turns out to be 0.7, I know that
A. the event is probably going to happen
B. the event is probably not going to happen
C. the probability that the event is not going to happen is 0. 3
D. I made a mistake
_____17. In a standard normal distribution of a discrete random variable, the mean is equal to a z score ___________
A. 0 B. 1 C. 2 D. 3
_Edited 18. Given the normal curve distribution at the right, where can the mean, median and mode be located?
A. -2 B. -1 C. 0 D. 1
_____19. Given are the ages of grade 11 students: 16, 16, 18, 20, 20 . What is the mean of the given discrete random
variable?
A. 16 B. 17 C. 18 D. 19
_____20 . Which of the following does not belong to the group?
A. mean C. mode
B. median D. variance
______ 21. Which of the following describes how far or how close the data about its mean?
A. Mean B. Median C. Mode D. Standard deviation.
22-25. Complete the table.
(22) (23)
x P(x) xP(x) x2P(x)
2 ¼
1 ½
0 ¼

_____ 24. What is the sum of the 3rd column?

A. 1 B. 2 C. 3 D. 4
_____25. Find the mean of the probability distribution above.
A. 0 B. 0.25 C. 0.50 D. 1.00
_____26. What is the variance of the probability distribution above?
A. 0 B. 0.25 C. 0.50 D. 1.00

_____27. What is a single data that summarizes or represents the set of unequal data?
A. Mean B. Median C. Mode D. Variance
_____28. The class average grade is 85% with a standard deviation of 2. Jose has an average of 87%. Which of the
following best describe Jose’s average?
A. It coincides with the mean.
B. It is one (1 ) z score above the mean.
C. It is one (1 ) z score below the mean.
D. Jose’s average and the class average has no significant difference.

29-30. Problem Solving-mean and variance of a probability distribution of a discrete random variable.

_____29. Given the population consisting of the numbers 11, 12, 13, 14 and 15, random samples of 2 are drawn from this
finite population. What is the mean of the sample?
A. 11 B. 12 C. 13 D. 14
_____30. Considering the given data in number 29, what is the variance of the sample?
A. 1.00 B. 1.21 ` C. 1.31 D.1.41
_____31. Which of the following is NOT a characteristic of a normal distribution?
A. Mean = Median= Mode C. It has 1 standard deviation
B. It is symmetric about the mean D. It’s area is 100%.
_____ 32. Mean, median and mode are said to be the measures of central tendency. What z- score corresponds to these?
A. z= -2 B. z= -1 C. z= 0 D. z=1
_____ 32. What can you say about the tails of the normal curve as it approaches the x -axis?
A. It is asymptotic and extent indefinitely to both directions.
B. It tends to cross the x-axis.
C. The tails tend to have the greatest area.
D. The tails are skewed.
_____ 33. If a normal curve distribution has an area of 100%, it means that _____
A. exactly half area to the left is greater than the half right area
B. exactly half area to the left is less than the half right area.
C. exactly half area to the left is equal to the half area to the right
D. the areas of the two halves cannot be determined.
_____ 34. In between what two z-scores an area 68.26% lies?
A. z= -3 to z =3 C. z= -1 to z = 1
B. z= -2 to z = 2 D. beyond z=-3 and z = 3
_____ 35. In which portion of the normal curve is the area smallest?
A. z= -3 to z =3 C. z= -1 to z = 1
B. z= -2 to z = 2 D. beyond z=-3 and z = 3
_____ 36. Given the illustration below, what area corresponds to it?

A. 34.13% B. 68.26% C. 95.44% D. 99. 74%

_____ 37. Sketch the normal curve from z=0 to z = -2.25.

_____38. What z score corresponds to the area of 0.4990?

A. between z= 0 and z=1 C. between z=0 and z= -3
B. between z= 0 and z=2 D. between z = 1 and z =-2
_____39. What area under normal curve corresponds to the z value of -0.88?
A. 0.3016 B. 0.3106 C. 0.3610 D. 0. 3160
_____40. The area in between z= 1 and z = -2 is
A. 0.8185 B. 0. 8819 C. 0.8891 D. 0.8981
_____41. Assuming that the distribution is normal, what z score is associated with 3 rd quartile?
A. 1.14 B. 1.15 C. 1.16 D. 1.17
_____42. In the population scores in a mathematics quiz, the mean (µ) score is 15 with standard deviation (σ) of 2. If
Anna scored 17, then she is_______________
A. One z- score above the mean
B. One z-score below the mean
C. Anna’s score has no significant difference about the mean
D. Anna’s score is 2 z score above the mean.

_____ 43. In a sample of 15 students, the mean ( ) score is 20 and the standard deviation (s) is 3. If Peachy scored two
(2) z- scores above the mean, what is her score?
A. 14 B. 17 C. 23 D. 26
_____ 44. The class has general academic average (µ)of 79 and a standard deviation of 2. Andrei’s average is 85. What
z-score corresponds to his average?
A. z= -2 B. z= 0 C. z= 2 D. z= 3
For items 45-50.
Five hundred children participated in the students’ night. Their height averaged 235 cm with standard deviation of
12 cm.

_____ 45. What z-score corresponds to the mean height 235 cm?
A. z= -1 B. z= 0 C. z= 1 D. z= 2
_____ 46. How many z- score 247 cm is away from the mean height?
B. z= -1 B. z= 0 C. z= 1 D. z= 2
_____ 47. What is the probability that a student picked at random has a height greater than 247 cm?
A. 0.1587 B. 0.1758 C. 0.1857 D. 0. 1875
_____ 48. What height is in between z=-1 and z= 1?
A. Above 235 cm C. from 211 cm to 259 cm
B. Below 235 cm D. from 213 cm to 247 cm
_____ 49. How many students have a height of at most 247 cm?
A. 391 B. 401 C. 411 D. 421
_____ 50. What percentage of students have a height from 213 cm to 247 cm?
A. 341 B. 351 C. 361 D. 371

Prepared by:

MA. LORNA A. GUÑO

Grade 11 Statistics and Probability Teacher

Noted:

ANACLETO M. GUNIO
Principal IV