Problem 44960. Rescale Scores

Created by Pooja Lalan

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Each column (except last) of matrix</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>X</w:t></w:r><w:r><w:t> contains students' scores in a course assignment or a test. The last column has a weighted combination of scores across all the assignments and tests.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Replace the elements in the last column of this matrix with a GPA calculated based on the following scale:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ Score      GPA    \n90 - 100   3 - 4      \n80 - 90    2 - 3      \n70 - 80    1 - 2      \n60 - 70    0 - 1      \nBelow 60     0]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Assume that no student in this class has scored below 60. Also note that the mapping in the range [60, 100] is linear.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>See</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/help/matlab/ref/rescale.html\"><w:r><w:t>&lt;https://www.mathworks.com/help/matlab/ref/rescale.html</w:t></w:r></w:hyperlink><w:r><w:t>&gt;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Input:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[   100  90  95  95\n    70  50  60  60\n    80  70  90  80]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Output:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[   100  90  95  3.5\n    70  50  60  0.0\n    80  70  90  2.0]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

13361 Solutions
3833 Solvers

Last Solution submitted on May 19, 2022

Last 200 Solutions

Problem Comments

9 Comments

9 Comments

Show 6 older comments

Kingfall on 11 Nov 2019

It appears the last column of the output from the problem statement should be 3.5; 0.0; 2.0 instead of 3.5; 0.0; 3.0, but the first test suite does have it correct.

Ansgar Elles on 28 Mar 2020

yes true, thank you

Pooja Lalan on 30 Mar 2020

Thank you! Modified the problem statement.

Nayuan Lian on 30 Jun 2020

Why doesn't it work?
function X = rescale_scores(X)
X = [X(1:end,1:end-1) (X(1:end,end).-60)./4]
end

东升李 on 23 Aug 2020

n = size(X,1);
for c = 1:n
X(c,end) = (X(c,end)-60)/10;
end

Li Ding on 12 Oct 2020

A little bit of math work will make your program much simpler. Grade 60-100 for GPA 0 - 4, this is a straight line! The equation for this straight line is GPA = 0.1*(grade-60). Don't forget to take care of negative GPAs.

Jesús Martínez Santana on 16 Feb 2021

X(:,end)=mean(rescale(X(:,end-1),-6,4,'InputMin',0,'InputMax',100),2);

Don't forget the negative numbers.
Score GPA
90 - 100 3 - 4
80 - 90 2 - 3
70 - 80 1 - 2
60 - 70 0 - 1
50 - 60 -1 - 0
40 - 50 -2 - -1
30 - 40 -3 - -2
20 - 30 -4 - -3
10 - 20 -5 - -4
0 - 10 -6 - -5

JIYON PJ on 13 Apr 2021

I am getting confused. IIs there a capital and small "x" in use. Getting errors.

Eureka on 9 Jun 2021

Below 60 GPA=0, so why there could be any negative value?

Solution Comments

Solution 7623359

2 Comments

2 Comments

László Benedek Nagy on 4 Mar 2022

I may be bad at programming, but at least I can do math

Dyuman Joshi on 4 Mar 2022

Lol. Or as I like to believe, Programming is just Maths in computer language

Solution 6970754

1 Comment

1 Comment

Haoran Tian on 26 Nov 2021

worth to do

Solution 6931104

1 Comment

1 Comment

Josh Klueber on 21 Nov 2021

good problem

Solution 6818085

2 Comments

2 Comments

Richard Stephens on 3 Nov 2021

The problem states "Score less than 60: GPA = 0"
But the solution assigns negative values to scores under 60.
So the provided solutions are wrong!

Isabella Stellitano on 14 Nov 2021

Good question

Solution 6514579

Solution 6160574

1 Comment

1 Comment

Ricardo172 on 26 Jul 2021

A couple of if

Solution 6120463

2 Comments

2 Comments

Aman Shaikh on 17 Jul 2021

Nice question. Checks our understanding.

Elliot Udell on 16 Mar 2022

Really sort of a nice problem here. Nice problem. Nice solution. Nice

Solution 3184861

1 Comment

1 Comment

Amir Ebrahimi on 13 Oct 2020

Easy!

Solution 2997286

Solution 2997271

Solution 2786737

1 Comment

1 Comment

Jason Chew on 17 Oct 2021

Plot the GPA vs score to get the equation.

3 Comments

3 Comments

Saad on 24 Apr 2020

Please, what is wrong with the following answer
X = (X-60)/10;
thank u

SOUMYADEEP SENGUPTA on 25 Apr 2020

This would operate on the entire matrix X. However we want the GPA to appear only in the last column of X. So try by declaring another variable which would calculate the GPA and then replace the last column of X with this column vector.

Kanchan Gorde on 9 May 2020

We have to modify only last column of matrix X not an entire matrix so find GPA for that column only.

Problem Recent Solvers3833

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 44960. Rescale Scores

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers3833

Suggested Problems

More from this Author13

Problem Tags

Community Treasure Hunt

Problem 44960. Rescale Scores

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers3833

Suggested Problems

More from this Author13

Problem Tags

Community Treasure Hunt

Players