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Mean & Standard Deviation

Total questions: 10

Worksheet time: 22mins

Name
Class
Date
1.

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

2.

What is the standard deviation for the data given:

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

a)

293.67

b)

15.87

c)

17.14

d)

41.98

3.

The data sets show the test scores of a group for the last two tests.

Test 1: {75, 75, 85, 80, 65, 70, 65} Test 2: {95, 85, 85, 90, 90, 95, 100}

Which data set had the SMALLER standard deviation?

a)

Test 1 with a standard deviation of 6.9

b)

Test 2 with a standard deviation of 6.9

c)

Test 1 with a standard deviation of 5.2

d)

Test 2 with a standard deviation of 5.2

4.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
5.
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
6.

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the standard deviation of the resulting sampling distribution?

a)

0.53

b)

0.41

c)

0.35

d)

0.22

7.

What is the sample 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

8.

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

9.
Four data sets are shown below.
Set 1: {10, 19, 38, 50, 51}
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 51}
Set 4: {5, 28, 28, 28, 51}
Which data set has the largest standard deviation?
a)
Set 1
b)
Set 2
c)
Set 3
d)
Set 4
10.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4