Problem 44960. Rescale Scores

Created by Pooja Lalan
Appears in Prime Numbers III

Difficulty:Rate

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Each column (except last) of matrix X 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.
Replace the elements in the last column of this matrix with a GPA calculated based on the following scale:
 Score      GPA    
91 - 100   3 - 4      
81 - 90    2 - 3      
71 - 80    1 - 2      
61 - 70    0 - 1      
Below 60     0
Assume that no student in this class has scored below 60. Also note that the mapping in the range [60, 100] is linear.
See <https://www.mathworks.com/help/matlab/ref/rescale.html>
Example
Input:
   100  90  95  95
    70  50  60  60
    80  70  90  80
Output:
   100  90  95  3.5
    70  50  60  0.0
    80  70  90  2.0

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Last Solution submitted on Mar 20, 2025

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16 Comments

16 Comments

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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

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?

Jason Klebes on 9 Dec 2022

"Assume that no student in this class has scored below 60." - not true in the test cases!

Aitzol Ezeiza Ramos on 15 Dec 2022

I am with jklebes

"Assume that no student in this class has scored below 60." - not true in the test cases!

Dyuman Joshi on 16 Dec 2022

The test suite has been corrected.

Matt Mahan on 27 Apr 2023

The problem is poorly posed. Per the instructions, a 70 or a 71 would result in a GPA of 1.0. A 80 or 81 would be a 2.0. 90 or 91 is a 3.0.
Thankfully the example shows the correct expected output.

Jianing Feng on 3 Sep 2023

Test 3 does not make any sense!

Francesco on 8 Oct 2023

This problem is actually better off without the function rescale. And to say it all the rescale function itself is more something for the uneducated in basic arithmetics,

shuo shang on 26 Dec 2023

Test 3 should be 70 80 60 70

Juan on 18 Nov 2024

Dear MATLAB & Cody friends, I had a issue with the values of test 3, where it says that the score for the 2 row it should be 1.5... but for that case, thw values on the Entry Data table should be: 70-80-75-75 or any mix of those value.

If anyone of the Cody program can check this out, it would be great for the upcoming students.

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Problem 44960. Rescale Scores

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