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Algebra - Standard Deviation and z-score

Total questions: 26

Worksheet time: 2hrs 58mins

Name
Class
Date
1.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
2.
What does this symbol represent?
a)
The number of elements in a data set
b)
None of your business
c)
A variable
d)
One specific element
3.
What does this symbol represent?
a)
Variance
b)
Standard Deviation
c)
Mean Absolute Deviation
d)
Sigma
4.
What does this symbol represent?
a)
Mean
b)
Median
c)
Mode 
d)
Standard Deviation
5.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
6.

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

a)

293.67

b)

15.87

c)

18

d)

41.98

7.
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
8.

The standard deviation for 4 data sets are shown. Which has all of the data points the same as the mean?

Set A σ = 4.3

Set B σ =2.7

Set C σ = 0

Set D σ = 6

a)

A

b)

B

c)

C

d)

D

9.
What is the variance of the data set?
a)
72
b)
21.4
c)
457.96
d)
395.7
10.
a)
Set 3, Set 1, Set 2
b)
Set 3, Set 2, Set 1
c)
Set 2, Set 3, Set 1
d)
Set 1, Set 3, Set 2
11.
A set of data has a standard deviation of zero.  This means that all of the data points are the same as the mean.
a)
True
b)
False
12.
A data point has a z-score of zero.  Which is a true statement about this point?
a)
The data point is 0.
b)
The data point is the same as the standard deviation
c)
The data point is the same as the mean
d)
The data point is 1.
13.
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 43 inches tall? 
a)
-3.6
b)
3.6
c)
1
d)
0
14.
A national achievement test is administered annually to 3rd graders. The test has a mean score of 80 and a standard deviation of 8. If Jane's z-score is (-1.2), what was her score on the test?
a)
88
b)
72
c)
89.6
d)
70.4
15.
Suppose that a normal model describes the acidity (pH) of rainwater, and that water tested after last week’s storm had a z-score of 1.8. This means that the acidity of the rain 
a)
had a pH 1.8 higher than average rainfall. 
b)
had a pH of 1.8. 
c)
varied with standard deviation 1.8 
d)
had a pH 1.8 standard deviations higher than that of average rainwater. 
16.

Adam's Z-score on a test is +2.5. What does this mean?

a)

He'd better start studying.

b)

He did better than EVERYONE.

c)

He scored 2.5 standard deviations above the average.

d)

He scored 2.5 standard deviations below the average.

17.

On a test Rico's test score had a z-score of 1.5. How did Rico do on the test in relation to the other test scores?

a)

Average

b)

Better than average

c)

Worse than average

d)

It was better than everyone else's.

18.

If the mean of a data set is 35, which data element below will have a negative z-score?

a)

50

b)

44

c)

35

d)

33

19.
Simplify:
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
20.
a)
0
b)
3
c)
1
d)
-1
21.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x10
d)
3x7
22.
a)

A

b)

B

c)

C

d)

D

23.
-2 (x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
24.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D