Using the data above, kindly help verify Chebyshev’s theorem
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 24PFA
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Hi, I’m confused on testing/verifying Chebyshev’s theorem, thought I did it in first pic but comment from my professor stated otherwise. Using the data above, kindly help verify Chebyshev’s theorem
![120
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60
40
20
0
1 2 3 4 5 6 7 8 9 101112131415161718192021222324252627282930
Sample Data
From the graph given above, the mean will be as such:
1
P(x-μ ≥ko) ≤ 2
Lets assume k to be 1.5, 2, and
1908.42/30 = 63.6
Sd 18.8
63.6 (1.5) (18.8) | 63.6+(1.5) (18.8)
63.6-28.2
35.4
63.6+28.2
91.8
63.6(2) (18.8) | 63.6+(2)(18.8)
63.6-37.6
63.6 +37.6
26
101.2
63.6(3) (18.8)
63.6-56.4
7.2
63.6+ (3) (18.8)
63.6+ 56.4
120](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79599c56-a340-49a0-b0ff-829b3947a798%2F0563503f-e93b-4445-ac53-7359981c15dd%2Fvhwc1ml_processed.jpeg&w=3840&q=75)
Transcribed Image Text:120
100
80
60
40
20
0
1 2 3 4 5 6 7 8 9 101112131415161718192021222324252627282930
Sample Data
From the graph given above, the mean will be as such:
1
P(x-μ ≥ko) ≤ 2
Lets assume k to be 1.5, 2, and
1908.42/30 = 63.6
Sd 18.8
63.6 (1.5) (18.8) | 63.6+(1.5) (18.8)
63.6-28.2
35.4
63.6+28.2
91.8
63.6(2) (18.8) | 63.6+(2)(18.8)
63.6-37.6
63.6 +37.6
26
101.2
63.6(3) (18.8)
63.6-56.4
7.2
63.6+ (3) (18.8)
63.6+ 56.4
120
![You have not done the two examples I asked you to do, (k=2 and 3), to verify Chebyshev's theorem.
The example you did was a process to find the value of k when the probability of the inequality is 100% which is a
good practice as long as you state the purpose of the example clearly.
Once we overcome the mathematical hurdle, we all move to data analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79599c56-a340-49a0-b0ff-829b3947a798%2F0563503f-e93b-4445-ac53-7359981c15dd%2F38b645c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You have not done the two examples I asked you to do, (k=2 and 3), to verify Chebyshev's theorem.
The example you did was a process to find the value of k when the probability of the inequality is 100% which is a
good practice as long as you state the purpose of the example clearly.
Once we overcome the mathematical hurdle, we all move to data analysis.
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