In one experiment, we want to evaluate the performance of the contestants of an International Geometry Olympiad. We randomly select a group of 19X contestants from different categories. The points (out of 100) of the contestants are given in the table below. Points (out of 100) 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100 Number of contestants X-2 X/3 2 X+1 4 11 8X 10 a. Compute the average points. Answer in exact fraction, or rounded to at least 4 decimal places points b. Compute the median points. Answer in exact fraction, or rounded to at least 4 decimal places. points c. Determine the standard deviation value of the points distribution. Answer in exact fraction, or rounded to at least 4 decimal places. d. Find the Pearson's Coefficient of Skewness using the relation between Mean, Median and Standard Deviation. Answer in exact fraction, or rounded to at least 4 decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
In one experiment, we want to evaluate the performance of the contestants of an International Geometry Olympiad. We randomly select a group of 19X
contestants from different categories. The points (out of 100) of the contestants are given in the table below.
Points (out of 100)
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
80 - 90
90 - 100
Number of contestants
X-2
X/3
2
X+1
4
11
8X
10
a. Compute the average points.
Answer in exact fraction, or rounded to at least 4 decimal places
points
b. Compute the median points.
Answer in exact fraction, or rounded to at least 4 decimal places.
points
c. Determine the standard deviation value of the points distribution.
Answer in exact fraction, or rounded to at least 4 decimal places.
d. Find the Pearson's Coefficient of Skewness using the relation between Mean, Median and Standard Deviation.
Answer in exact fraction, or rounded to at least 4 decimal places.
Transcribed Image Text:In one experiment, we want to evaluate the performance of the contestants of an International Geometry Olympiad. We randomly select a group of 19X contestants from different categories. The points (out of 100) of the contestants are given in the table below. Points (out of 100) 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100 Number of contestants X-2 X/3 2 X+1 4 11 8X 10 a. Compute the average points. Answer in exact fraction, or rounded to at least 4 decimal places points b. Compute the median points. Answer in exact fraction, or rounded to at least 4 decimal places. points c. Determine the standard deviation value of the points distribution. Answer in exact fraction, or rounded to at least 4 decimal places. d. Find the Pearson's Coefficient of Skewness using the relation between Mean, Median and Standard Deviation. Answer in exact fraction, or rounded to at least 4 decimal places.
Expert Solution
steps

Step by step

Solved in 7 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman