MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
Determine the range , mean and standard deviation.
{ 13, 14, 13, 5, 5, 12, 9, 3 }
(Round the mean to 3 decimal places as needed and round the standard
deviation to 2 decimal places as needed.)
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
Determine the range , mean and standard deviation.
{ 13, 14, 13, 5, 5, 12, 9, 3 }
(Round the mean to 3 decimal places as needed and round the standard
deviation to 2 decimal places as needed.)
The range of a data set is the difference between
the largest and smallest data values in the set.
RANGE = Maximum - Minimum
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
Determine the range , mean and standard deviation.
{ 13, 14, 13, 5, 5, 12, 9, 3 }
(Round the mean to 3 decimal places as needed and round the standard
deviation to 2 decimal places as needed.)
The range of a data set is the difference between
the largest and smallest data values in the set.
RANGE = Maximum - Minimum
RANGE = 14 – 3 = 11
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
Determine the range , mean and standard deviation.
{ 13, 14, 13, 5, 5, 12, 9, 3 }
(Round the mean to 3 decimal places as needed and round the standard
deviation to 2 decimal places as needed.)
The range of a data set is the difference between
the largest and smallest data values in the set.
RANGE = Maximum - Minimum
RANGE = 14 – 3 = 11
To find the mean and standard deviation, put values into the calculator.
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
Determine the range , mean and standard deviation.
{ 13, 14, 13, 5, 5, 12, 9, 3 }
(Round the mean to 3 decimal places as needed and round the standard
deviation to 2 decimal places as needed.)
The range of a data set is the difference between
the largest and smallest data values in the set.
RANGE = Maximum - Minimum
RANGE = 14 – 3 = 11
To find the mean and standard deviation, put values into the calculator.
Here are the KEYSTROKES for entering the data
13
14
13
5
12
9
3
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
Determine the range , mean and standard deviation.
{ 13, 14, 13, 5, 5, 12, 9, 3 }
(Round the mean to 3 decimal places as needed and round the standard
deviation to 2 decimal places as needed.)
The range of a data set is the difference between
the largest and smallest data values in the set.
RANGE = Maximum - Minimum
RANGE = 14 – 3 = 11
To find the mean and standard deviation, put values into the calculator.
Here are the KEYSTROKES for entering the data
13
14
13
5
12
9
3
For the mean, enter
to get 𝑥 = 9.250.
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
Determine the range , mean and standard deviation.
{ 13, 14, 13, 5, 5, 12, 9, 3 }
(Round the mean to 3 decimal places as needed and round the standard
deviation to 2 decimal places as needed.)
The range of a data set is the difference between
the largest and smallest data values in the set.
RANGE = Maximum - Minimum
RANGE = 14 – 3 = 11
To find the mean and standard deviation, put values into the calculator.
Here are the KEYSTROKES for entering the data
13
14
13
5
12
9
3
For the mean, enter
to get 𝑥 = 9.250.
And for the standard deviation, enter
to get 𝑠 = 4.34.
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
The table shows the scores of 20 people
who took a paramedics licensing test.
Find the mean and standard deviation
for these data.
(Round to 3 decimal places as needed.)
Score
71
72
75
79
81
82
Frequency
5
1
5
6
2
1
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
The table shows the scores of 20 people
who took a paramedics licensing test.
Find the mean and standard deviation
for these data.
(Round to 3 decimal places as needed.)
Score
71
72
75
79
81
82
Frequency
5
1
5
6
2
1
To find the mean and standard deviation, put values into the calculator.
Here are the KEYSTROKES for entering the data
71
72
75
79
81
82
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
For the mean, enter
to get 𝑥 =76.
The table shows the scores of 20 people
who took a paramedics licensing test.
Find the mean and standard deviation
for these data.
(Round to 3 decimal places as needed.)
Score
71
72
75
79
81
82
Frequency
5
1
5
6
2
1
To find the mean and standard deviation, put values into the calculator.
Here are the KEYSTROKES for entering the data
71
72
75
79
81
82
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
For the mean, enter
to get 𝑥 =76.
The table shows the scores of 20 people
who
a paramedics
licensing
For
thetook
standard
deviation,
enter test.
to get s = 3.880.
Find the mean and standard deviation
for these data.
(Round to 3 decimal places as needed.)
Score
71
72
75
79
81
82
Frequency
5
1
5
6
2
1
To find the mean and standard deviation, put values into the calculator.
Here are the KEYSTROKES for entering the data
71
72
75
79
81
82
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
The table gives the annual income for 8
families, in thousands of dollars.
How many standard deviations is family
B’s income from the mean?
(Round to 3 decimal places as needed.)
Family
A
B
C
D
E
F
G
H
Income
50
46
50
49
48
49
52
48
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
The table gives the annual income for 8
families, in thousands of dollars.
How many standard deviations is family
B’s income from the mean?
(Round to 3 decimal places as needed.)
To find the mean and standard deviation,
put values into the calculator.
Family
A
B
C
D
E
F
G
H
Income
50
46
50
49
48
49
52
48
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
The table gives the annual income for 8
families, in thousands of dollars.
How many standard deviations is family
B’s income from the mean?
(Round to 3 decimal places as needed.)
To find the mean and standard deviation,
put values into the calculator.
Family
A
B
C
D
E
F
G
H
Here are the KEYSTROKES for entering the data
50
46
50
49
48 72 49
52
Income
50
46
50
49
48
49
52
48
48
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
The table gives the annual income for 8
families, in thousands of dollars.
How many standard deviations is family
B’s income from the mean?
(Round to 3 decimal places as needed.)
To find the mean and standard deviation,
put values into the calculator.
For the mean, enter
to get 𝑥 =49.
Family
A
B
C
D
E
F
G
H
Here are the KEYSTROKES for entering the data
50
46
50
49
48 72 49
52
Income
50
46
50
49
48
49
52
48
48
MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises
The table gives the annual income for 8
families, in thousands of dollars.
How many standard deviations is family
B’s income from the mean?
(Round to 3 decimal places as needed.)
To find the mean and standard deviation,
put values into the calculator.
For the mean, enter
to get 𝑥 =49.
For the standard deviation, enter
to get s = 1.773.
Family
A
B
C
D
E
F
G
H
Here are the KEYSTROKES for entering the data
50
46
50
49
48 72 49
52
Income
50
46
50
49
48
49
52
48
48
MATHhow
110 Sec
Lecture:
Statistics-Measures
of Variation/Dispersion
Find
far14-3
Family
B’s income
(46) is from
the mean (49):
The table gives the annual income for 8
families, in thousands of dollars.
How many standard deviations is family
B’s income from the mean?
(Round to 3 decimal places as needed.)
To find the mean and standard deviation,
put values into the calculator.
For the mean, enter
to get 𝑥 =49.
Family
A
B
C
D
E
F
G
H
Practice Exercises
Income
50
46
50
49
48
49
52
48
For the standard deviation, enter
to the
get number
s = 1.773.
To determine
of standard deviations 10.2 represents, just
divide 10.2 by the standard deviation (5.98).
Here are the KEYSTROKES for entering the data
50
46
50
49
48 72 49
52
48
MATHhow
110 Sec
Lecture:
Statistics-Measures
of Variation/Dispersion
Practice
Exercises
Find
far14-3
Family
B’s income
(46) is from
the mean (49): 𝟒𝟗
− 𝟒𝟔
=𝟑
The table gives the annual income for 8
families, in thousands of dollars.
How many standard deviations is family
B’s income from the mean?
(Round to 3 decimal places as needed.)
To find the mean and standard deviation,
put values into the calculator.
For the mean, enter
to get 𝑥 =49.
For the standard deviation, enter
to get s = 1.773.
Family
A
B
C
D
E
F
G
H
Here are the KEYSTROKES for entering the data
50
46
50
49
48 72 49
52
Income
50
46
50
49
48
49
52
48
48
MATHhow
110 Sec
Lecture:
Statistics-Measures
of Variation/Dispersion
Practice
Exercises
Find
far14-3
Family
B’s income
(46) is from
the mean (49): 𝟒𝟗
− 𝟒𝟔
=𝟑
ToThe
express
in standard
deviations,
(1.773)
Family deviation
Income
tablethis
gives
the annual
incomedivide
for 83 by the standard
families, in thousands of dollars.
A
50
How many standard deviations is family
B
46
B’s income from the mean?
C
50
(Round to 3 decimal places as needed.)
D
49
To find the mean and standard deviation,
E
48
put values into the calculator.
F
49
For the mean, enter
to get 𝑥 =49.
G
52
H
48
For the standard deviation, enter
to get s = 1.773.
Here are the KEYSTROKES for entering the data
50
46
50
49
48 72 49
52
48
MATHhow
110 Sec
Lecture:
Statistics-Measures
of Variation/Dispersion
Practice
Exercises
Find
far14-3
Family
B’s income
(46) is from
the mean (49): 𝟒𝟗
− 𝟒𝟔
=𝟑
ToThe
express
in standard
deviations,
(1.773)
Family deviation
Income
tablethis
gives
the annual
incomedivide
for 83 by the standard
families, in thousands of dollars.
A
50
How many standard deviations is family
B
46
B’s income from the mean?
C
50
(Round to 3 decimal places as needed.)
D
49
To find the mean and standard deviation,
E
48
put values into the calculator.
F
49
For the mean, enter
to get 𝑥 =49.
G
52
H
48
For the standard deviation, enter
to get s = 1.773.
Here are the KEYSTROKES for entering the data
50
46
50
49
48 72 49
52
48
MATHhow
110 Sec
Lecture:
Statistics-Measures
of Variation/Dispersion
Practice
Exercises
Find
far14-3
Family
B’s income
(46) is from
the mean (49): 𝟒𝟗
− 𝟒𝟔
=𝟑
ToThe
express
this
in standard
deviations,
divide
3 by the standard
(1.773)
Family deviation
Income
table
gives
the
annual
income
for
8
3
= 1.692
families,
in thousands of dollars.
1.773
A
50
How many standard deviations is family
B
46
B’s income from the mean?
C
50
(Round to 3 decimal places as needed.)
D
49
To find the mean and standard deviation,
E
48
put values into the calculator.
F
49
For the mean, enter
to get 𝑥 =49.
G
52
H
48
For the standard deviation, enter
to get s = 1.773.
Here are the KEYSTROKES for entering the data
50
46
50
49
48 72 49
52
48
MATHhow
110 Sec
Lecture:
Statistics-Measures
of Variation/Dispersion
Practice
Exercises
Find
far14-3
Family
B’s income
(46) is from
the mean (49): 𝟒𝟗
− 𝟒𝟔
=𝟑
ToThe
express
this
in standard
deviations,
divide
3 by the standard
(1.773)
Family deviation
Income
table
gives
the
annual
income
for
8
3
= 1.692
B’s incomeofisdollars.
1.692 standard deviations
from the50
mean.
families,
in thousands
1.773
A
How many standard deviations is family
B
46
B’s income from the mean?
C
50
(Round to 3 decimal places as needed.)
D
49
To find the mean and standard deviation,
E
48
put values into the calculator.
F
49
For the mean, enter
to get 𝑥 =49.
G
52
H
48
For the standard deviation, enter
to get s = 1.773.
Here are the KEYSTROKES for entering the data
50
46
50
49
48 72 49
52
48