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.
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
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
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.
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