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Statistics Review

Total questions: 32

Worksheet time: 54mins

Name
Class
Date
1.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
2.

What does standard deviation represent?

a)

How many different variations are in the data set.

b)

How the population varies compared to the sample.

c)

How spread out each data value is from the mean.

d)

The range, but with a bunch of other stuff going on.

3.
All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
a)
1
b)
2
c)
3
d)
4
4.

All of the below sets have the same mean.

Set 1-Standard Deviation=3.1

Set 2-Standard Deviation=4.9

Set 3-Standard Deviation=1.7

Set 4-Standard Deviation=3.2

Which set of data probably has the points furthest to the mean?

a)
1
b)
2
c)
3
d)
4
5.

What is another word for average?

a)

mean

b)

mode

c)

median

d)

range

6.

What is the mean of the data: 15, 20, 25, 17, 18

a)

15

b)

16

c)

18

d)

19

7.

What is the mean absolute deviation of the data: 15, 20, 25, 17, 18

a)

4.5

b)

2.8

c)

4

d)

3.8

8.

What is the approximate mean of the data? 45, 55, 60, 48, 57, 52, 49

a)

50

b)

55

c)

52.3

d)

there is no such thing as a decimal.

9.

What is the absolute mean deviation of the data? 45, 55, 60, 48, 57, 52, 49 if the mean is 52.3

a)

4.0

b)

5

c)

5.2

d)

4.33

10.

Find the Mean Absolute Deviation: 10, 9, 3, 8, 10. The Mean is 8

a)

3

b)

1

c)

5

d)

2

11.

Find the MAD: (mean absolute deviation)

58, 38, 54, 48, 26, 36

a)

10

b)

20

c)

12

d)

43

12.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
13.

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

14.
To find the _________ you add up all the numbers and then divide by how many numbers you have.
a)
Mean
b)
Median
c)
Mode
d)
Range
15.
Which of the following is a measure of variability?
a)
mean
b)
median
c)
mode
d)
standard deviation
16.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
17.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
18.
According to the empirical rule, what percentage of data falls within 1 standard deviation? 
a)
25%
b)
68%
c)
95%
d)
99.7%
19.
According to the empirical rule, how much of the data falls within 3 standard deviations? 
a)
25%
b)
68%
c)
95%
d)
99.7%
20.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
a)
68%
b)
99.7%
c)
95%
d)
84%
21.
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.
22.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
23.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


Find the proportion of golfers that are older than 42.

a)

13.5%

b)

16%

c)

50%

d)

85%

24.

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


There are 500 golf members at the Mathy Country Club. How many are younger than 34?

a)

16

b)

80

c)

100

d)

150

25.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

26.

What is the formula to find the z-score for population?

a)

z=X-M

b)

z=σ-M/μ

c)

z/M=μ

d)

z=X-μ/σ

27.

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

a)

+2.00

b)

-2.00

c)

+1.25

d)

-1.00

28.

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

a)

-0.50

b)

+1.00

c)

+0.50

d)

-1.00

29.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

30.

Find the z-score.

Mean = 38

Standard Deviation: 1.2

x = 42

a)

3.33

b)

-3

c)

3.03

d)

-3.33

31.

A data set has a mean of 290 and a standard deviation of 20. Calculate the z-score for 265.

a)

z=250.5z=250.5

b)

z=1.25z=1.25

c)

z=−1.02z=-1.02

d)

z=−1.25z=-1.25

32.

A data set has a mean of 20 and a standard deviation of 3. Calculate the z-score for 23.

a)

z=−1z=-1  

b)

z=16.33z=16.33  

c)

z=1z=1  

d)

z=3z=3  

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