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1st Quarterly exam in Statistics and Probability

Total questions: 40

Worksheet time: 50mins

Name
Class
Date
1.

It is a data distribution where the mean, median and mode are equal and the distribution is clustered at the center.

a)

probability distribution

b)

normal probability distribution

c)

standard normal distribution

d)

normal distribution

2.

In ____________________ there are three characteristics to remember. One of those is it is a symmetrical.

a)

probability distribution

b)

normal probability distribution

c)

standard normal distribution

d)

normal distribution

3.

In ____________________ there are three characteristics to remember. One of those is it is a symmetrical.

a)

probability distribution

b)

normal probability distribution

c)

standard normal distribution

d)

normal distribution

4.

What is the formula for z-score?

a)

z=μ−xσz=\frac{\mu-x}{\sigma}

b)

z=σ−μxz=\frac{\sigma-\mu}{x}

c)

z=x−μσz=\frac{x-\mu}{\sigma}

d)

z=x−σμz=\frac{x-\sigma}{\mu}

5.

What is the total area under the normal curve in a standard normal distribution?

a)

0.5

b)

0.25

c)

1

d)

1.25

6.

Where can we locate the mean in the normal curve?

a)

to the left portion

b)

to the right portion

c)

at the center

d)

on the z - axis

7.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
8.

What is the z-score given that;

 x=90, μ=95.3 and σ=3x=90,\ \mu=95.3\ and\ \sigma=3  

a)

2.37     

b)

-2.55    

c)

 -1.77

d)

1.77 

9.

Having two areas from the z-scores that different sign, we need to _______the area.

a)

add

b)

subtract

c)

add 50% or 0.5

d)

subtract 50% or 0.5

10.

What do we need to do in finding the area to the right of a negative z-score?

a)

add

b)

subtract

c)

add 50% or 0.5

d)

subtract 50% or 0.5

11.

What do we need to do in finding the area to the left of a positive z-score?

a)

add

b)

subtract

c)

add 50% or 0.5

d)

subtract 50% or 0.5

12.

Find the area of the shaded region if the z-score is 1.25

a)

0.3944

b)

0.8944

c)

0.8849

d)

0.1151

13.

What is the area under the normal curved from z = 0 to z = 0.75?

a)

0.2266

b)

0.2734

c)

0.2743

d)

0.3023

14.

What is the z-score of  x=90, μ=92.5 and σ=7x=90,\ \mu=92.5\ and\ \sigma=7  

a)

0.36     

b)

-0.36 

c)

 -0.35

d)

0.35

15.

What is the area under the normal curve bounded by the value of the z-score given that;

 x=90, μ=92.5 and σ=7x=90,\ \mu=92.5\ and\ \sigma=7  

a)

0.1363

b)

0.1406

c)

 - 0.1363

d)

- 0.1406

16.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
17.
Find the area under the normal distribution curve to the left of 
Z=0.27.
a)
0.3936
b)
0.3897
c)
0.6064
d)
0.4892
18.
Find the area under the normal distribution curve between 
z=-1.53 and z=0.
a)
0.437
b)
0.563
c)
0.500
d)
0.063
19.

Find the area under the standard normal curve to the left of z = -2.67.

a)

0.0869

b)

0.9962

c)

0.0008

d)

0.38

20.
If Gonzalo's score is 87, the class average is 82, and the SD is 4, what is Gonzalo's Z-score?
a)
-1.25
b)
+1.25
c)
+1.20
d)
+1.02
21.
What is the area under the curve to the left of z = 0.55 ?
a)
.2912
b)
.5500
c)
.9394
d)
.7088
22.
What is the area under the curve to the right of z = .25, the white part of the curve?
a)
.5987
b)
.4013
c)
.9938
d)
.0062
23.
What is the area under the curve between z = 0 and z = 1.45?
a)
.9265
b)
.4265
c)
.4500
d)
.5000
24.
What is the area under the curve greater than z = 3.01
a)
.9987
b)
.0013
c)
.9990
d)
.001
25.

Find the area under the standard normal curve that is between z=-1.5 and z=2.5

a)

0.9270

b)

0.0606

c)

0.9938

d)

0.0062

26.

Find the area under the standard normal curve that is between z=-1.65 and z=1.65

a)

0.1022

b)

0.9505

c)

0.9011

d)

0.0495

27.

What is referred to as a subset of the population under investigation that a researcher selected to be part of the study?

a)

Sample

b)

Population

c)

Variable

d)

Replicate

28.

What kind of sampling technique is the following:


List the names of all the students alphabetically and contact the parent of every 25th student.

a)

Convenience Sampling

b)

Simple Random Sampling

c)

Systematic Sampling

d)

Sample

29.

What kind of sample technique is the following:


Select at random 150 parents and send them a survey.

a)

Convenience Sampling

b)

Simple Random Sampling

c)

Systematic Sampling

d)

Sample

30.

What kind of sample technique is the following:


Question everyone in the cafeteria.

a)

Convenience Sampling

b)

Simple Random Sampling

c)

Systematic Sampling

d)

Sample

31.
Mrs. Trahan samples her class by selecting all students sitting at group 1 and group 5 in her classroom.  This sampling technique is called?
a)
Simple
b)
Stratified
c)
Systematic
d)
Cluster
32.

Which of the following involves group-by-group selection of samples?

a)

Simple random sampling

b)

Stratified sampling

c)

Snowball sampling

d)

Quota sampling

33.

Which formula is usually used in getting a sample?

a)

Richardson Formula

b)

Spearman Rho Formula

c)

Spearman-Brown Formula

d)

Sloven's Formula

34.

A type of sampling that needs to select the sample size more than once.

a)

Stratified

b)

Simple

c)

Systematic

d)

Multi-stage

35.

All of the following classified as non probability sampling except;

a)

Systematic sampling

b)

Purposive sampling

c)

Snowball sampling

d)

Quota sampling

e)

Lottery sampling

36.

It is a type of nonrandom sampling that the researcher find someone to recruit other participants in his/her study.

a)

Systematic sampling

b)

Purposive sampling

c)

Snowball sampling

d)

Quota sampling

e)

Lottery sampling

37.

Find the sample size n given that the N= 10,000 and e = 4% using sloven’s formula

a)

625

b)

589

c)

588

d)

626

38.

Distribute the sample size of 390 as classified to the following strata that shows on the table above. Determine the number of people to be taken as sample from group B.

a)

91

b)

65

c)

104

d)

130

39.

Distribute the sample size of 390 as classified to the following strata that shows on the table above. Determine the number of people to be taken as sample from group C.

a)

91

b)

65

c)

104

d)

130

40.

Distribute the sample size of 390 as classified to the following strata that shows on the table above. Determine the number of people to be taken as sample from group A.

a)

91

b)

65

c)

104

d)

130

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