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Statistics and Probability

Total questions: 18

Worksheet time: 18mins

Name
Class
Date
1.

Given a data set with a z score of 4.2, a mean of 3.2 and a standard deviation of 2.8, what is the data point?

a)

11.76

b)

14.96

c)

15.97

d)

-14.99

2.

Given a data point 1.2, a standard deviation of 5.2 and a z-score of -2.0. What is the mean?

a)

11.6

b)

-11.6

c)

3

d)

1

3.
The time it takes you to drive to school.
a)
Continuous
b)
Discrete
4.
The number of books in your locker.
a)
Continuous
b)
Discrete
5.
The time it takes for a light bulb to burn out.
a)
Continuous
b)
Discrete
6.

Is this a probability distribution?

a)

No

b)

Yes

7.

Find the mean (expected value) of the probability distribution.

a)

85

b)

83.2

c)

87.1

d)

84.4

8.

Which of the following is an example of a discrete variable?

a)

Number of red marbles in the basket

b)

Distance traveled between tricycles

c)

Height of the students in a certain class

d)

Weight of student

9.

Let X be the time it takes to finish a one-hour exam. What are the possible values of X (in hours)?

a)

x≤1x\le1

b)

0≤x≤10\le x\le1

c)

0<x<10<x<1

10.

What is the sample space suppose two coins are tossed?

a)

{HH,HT,TH,TT}

b)

{H,T}

c)

{HH,TT}

d)

{HHH,TTT, HHT, HTH, HTT, THH, THT,TTH}

11.

If a fair coin is tossed twice, what is the probability of seeing heads exactly once?

a)

3/4

b)

1/3

c)

1/2

d)

2/3

12.

Describe the figure.

a)

Normal Curve

b)

Normal Histogram

13.

A normally distributed set of data's graph resembles:

a)

A fire hydrant

b)

A bath tub

c)

A bell

d)

A tree

14.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 
a)
-5
b)
-2
c)
2
d)
5
15.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False

16.

Total area under the curve of Normal Distribution is equal to (a)   .

17.

a)

0.5404

b)

0.4806

c)

0.5747

d)

0.6802

e)

0.3418

18.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?

a)

68%

b)

81.5%

c)

16%

d)

34%