Chapter 6 Review Key
.docx
keyboard_arrow_up
School
Coastal Carolina Community College *
*We aren’t endorsed by this school
Course
043
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
3
Uploaded by CountEaglePerson672
MAT 043
Chapter 6 Review
1.
The data below represents the 2019 top ten Billionaires according to Forbes magazine.
Billionaire
Net Worth (billions of dollars)
Steve Ballmer
52
Sergey Brin
54
Warren Buffett
81
Jim Walton
52
Larry Ellison
65
Larry Page
56
Bill Gates
106
Michael Bloomberg
53
Jeff Bezos
114
Mark Zuckerberg
70
n
=
10
Use the data set above to find the following:
a.
Find the mean
x
=
703
10
=
70.3billion dollars
b.
Find the mode Mode
=
52 billion dollars
c.
Find the median Data in order: 52, 52, 53, 54, 56, 65, 70, 81, 106, 114
Median
=
60.5 billion dollars
d.
Find the range
Range
=
highest
−
lowest
=
114
−
52
=
62 billion dollars
e.
Determine the percentile ranking for the net worth of $54 billion
4
10
×
100
=
40%
, so 40
th
percentile
f.
Calculate the five-number summary for the data and then create a box and whisker plot to model the data Data in order: {52, 52, 53 Q
1
, 54, 56} 60.5 median
{65, 70, 81 Q
3
, 106, 114} so, L=52, Q
1
=53, M=60.5, Q
3
=81, H=114
Indicate the five-number summary: {52, 53, 60.5, 81, 114}
Construct a box and whisker plot to model the data above:
g.
Characterize the data above: Right Skewed
h.
Use the five-number summary or the box and whisker plot to answer the following:
a)
What percent of the men are worth more than $53 billion? 75%
b)
What percent of the men are worth less than $60.5 billion? 50%
c)
What earning range did the middle 50% of the men earn? $53 billion to $81 billion
i.
Calculate the standard deviation for the net worth of the billionaires
Mean:
Use the table below to calculate the standard deviation: (Round to the nearest whole number)
n
=
10
x
=
70.3
Data
x
−
x
(
x
−
x
)
2
52
52
−
70.3
=−
18.3
(
−
18.3
)
2
=
334.89
54
54
−
70.3
=−
16.3
(
−
16.3
)
2
=
265.69
81
81
−
70.3
=
10.7
(
10.7
)
2
=
114.49
52
52
−
70.3
=−
18.3
(
−
18.3
)
2
=
334.89
65
65
−
70.3
=−
5.3
(
−
5.3
)
2
=
28.09
56
56
−
70.3
=−
14.3
(
−
14.3
)
2
=
204.49
106
106
−
70.3
=
35.7
(
35.7
)
2
=
1274.49
53
53
−
70.3
=−
17.3
(
−
17.3
)
2
=
299.29
114
114
−
70.3
=
43.7
(
43.7
)
2
=
1909.69
70
70
−
70.3
=−
0.3
(
−
0.3
)
2
=
0.09
Total
0
4766.2
S
=
√
∑
(
x
−
x
)
2
n
−
1
=
√
4766.2
9
≈
23.01
Standard Deviation: $23.01 billion
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help