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[Algebra 2] Unit 6 Review: Statistics

Total questions: 40

Worksheet time: 7hrs 11mins

Name
Class
Date
1.

A ___ is a large group that includes everything being studied.

a)

Sample

b)

Stratified Sampling Method

c)

Population

d)

Voluntary-Response

2.

A ___ is a small portion of the population used to gather data from.

a)

Systematic Sampling Method

b)

Sample

c)

Population

d)

Bias

3.

A poll is taken from 100 seniors in a high school where the senior class has 575 students. The 100 seniors is an example of a ______________.

a)

Sample

b)

Population

4.
Marianne wanted to know students' opinion on the new schedule at school. So she randomly selected 2 students from each class during second period. 
This is a form of:
a)
Convenience Sampling
b)
Random Sampling
c)
Stratified Sampling
d)
Systematic Sampling
5.
Marianne wanted to know students' opinion on the new schedule at school. She places students' names in a container and randomly picks out 20 names. 
a)
Stratified Sampling
b)
Systematic Sampling
c)
Random Sampling
d)
Volunteer response
6.

Group businesses according to type: medical, retail, restaurant, hotel, other. Then select a random sample of 10 businesses from each type.

a)

voluntary response

b)

random

c)

stratified

d)

systematic

7.

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.

She selects the first five who raise their hands.

a)

Systematic

b)

Stratified

c)

Self-Selected

d)

Random

8.

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.

She selects a random student to start then picks the student in every 5th seat.

a)

Random

b)

Systematic

c)

Voluntary Response

d)

Stratified

9.

Interview the first 30 students who enter the school in the morning.

What type of sampling method is this?

a)

simple random

b)

voluntary response

c)

systematic

d)

convenience

10.

A principal orders t-shirts and wants to check some of them to make sure they were printed properly. She randomly selects 2 of the 10 boxes of shirts and checks every shirt in those 2 boxes.

What type of sampling method is this?

a)

Simple Sampling

b)

Stratified Sampling

c)

Cluster Sampling

d)

Systematic Sampling

11.

A school chooses 3 randomly selected athletes from each of its sports teams to participate in a survey about athletics at the school.

What type of sampling method is this?

a)

Simple Sampling

b)

Stratified Sampling

c)

Cluster Sampling

d)

Systematic Sampling

12.

If you wanted to determine if people who take vitamin C every day are less likely to get colds, what is the best method of data collection?

a)

Cencus

b)

Sample Survey

c)

Experiment

d)

Observational Study

13.

What is the best data collection method to determine if not using car seat belts increases deaths in car accidents

a)

Census

b)

Sample Survey

c)

Experiment

d)

Observational Study

14.

If you ask customers at a restaurant if pizza should be added to the menu, what kind of data collection is this?

a)

Census

b)

Sample Survey

c)

Experiment

d)

Observational Study

15.

What should you use when determining the number of people who want hot dogs at your cookout?

a)

Census

b)

Sample

c)

Simulation

d)

Experiment

16.

A student wants to know the most liked professor at her college. Which type of study would be the most practical to obtain this information?

a)

a simulation

b)

an experiment

c)

a survey

d)

an observation

17.
a)

20

b)

3980

c)

3700

d)

796

18.
a)

35

b)

45

c)

82

d)

164

19.

Given the Math Grades:

75, 85, 77, 83 ,90 ,75, 91, 10, 86, 83

Which Center of Measure best represents this data?

a)

Mean

b)

Median

c)

Mode

d)

Range

20.

Given the Math Grades:

71, 85, 77, 83 ,90 ,75, 91, 86, 83

Which Center of Measure best represents this data?

a)

Mean

b)

Median

c)

Mode

d)

Range

21.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
22.

What is the P (x > 45)?

a)

16%

b)

64%

c)

34%

d)

13.5%

23.

What is the P ( x < 63) ?

a)

99.85 %

b)

0.15 %

c)

2.35 %

d)

98.5 %

24.

What is the P (x > 72) ?

a)

97.5 %

b)

2.5 %

c)

98.5 %

d)

13.5 %

25.

What is the P (33 < x < 51) ?

a)

81.5 %

b)

13.5 %

c)

68 %

d)

83.5 %

26.

What is the P(68 < x < 80) ?

a)

49.85 %

b)

2.35 %

c)

99.85 %

d)

47.5 %

27.

What is the P(42 < x < 63) ?

a)

0.15 %

b)

50 %

c)

49.85 %

d)

47.5 %

28.

What is the P (x < 21 and x > 39)?

a)

16%

b)

64%

c)

49.85%

d)

50.15%

29.

What is the P(x > 42 and x < 35) ?

a)

50 %

b)

66 %

c)

34 %

d)

16%

30.

What is the P(x < 84 and x > 88)?

a)

16 %

b)

13.5%

c)

99.85 %

d)

86.5 %

31.
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 
a)
1084 to 1216 pounds 
b)
1106 to 1150 pounds 
c)
1106 to 1194 pounds 
d)
1128 to 1172 pounds
32.
Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability. 
a)
2.5%
b)
2.35%
c)
16%
d)
13.5%
33.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
34.

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches.

If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.

a)

2

b)

1

c)

-2

d)

-1

35.

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?

a)

1

b)

1.43

c)

-1.43

d)

11.5

36.

Fernando is 60 inches tall. The average height for his age and gender is 68 with a standard deviation of 10 inches.

What percent of his peers are shorter than him?

(use z-score Table)

a)

46.81%

b)

8%

c)

78.81%

d)

21.19%

37.

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.2.

What percent of students in the course have a GPA above 3.5?

(use z-score Table)

a)

93.32%

b)

47.5%

c)

23.25%

d)

6.68%

38.

The average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years.

What percent of fans are older than 28 years old?

(use z-score Table)

a)

22.66%

b)

16.66%

c)

77.34%

d)

2.28%

39.

A statistical study found that the average age for golf players if the PGA is 32 years old, with a standard deviation of 5.

What percentage of PGA golfers are older than 30?

(use z-score Table)

a)

65.54 %

b)

34.46 %

c)

23.35 %

d)

5.56 %

40.

A statistical study found that the average income for high school students is $325 a month, with a standard deviation of $40.

What is the percentage of students that make less $413 a month?

(use z-score Table)

a)

1.39 %

b)

98.61 %

c)

.9861%

d)

.0139 %