Question

 Following is the distribution of marks (out of 25) obtained by 10 students in Physics and Mathematics.

No. Physics (X) Mathematics (Y)  


Xi2
 

 


Yi2
 

 


XiYi
 

1 18 21 324 441 378
2 20 23 400 529 460
3 11 14 121 196 154
4 20 23 400 529 460
5 14 17 196 289 238
6 15 18 225 324 270
7 13 16 169 256 208
8 16 19 256 361 304
9 17 20 289 400 480
10 20 23 400 529 460
Total 164 194 2780 3854 3412

 

Draw a scatter diagram for all the 10 students and calculate the correlation between marks of Physics and Mathematics.

09 Jan 2026
Answer :
Word Count : 169
For the ten students the paired values ((X_i , Y_i)) are ((18,21),(20,23),(11,14),(20,23),(14,17),(15,18),(13,16),(16,19),(17,20),(20,23)). When these points are plotted on a graph with Physics on the X-axis and Mathematics on the Y-axis, all the points __________ ___ __________ ________ _____ _____ ______ ___ ___ _______.
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__________ ________ _____ _______ _____ ___ _______ ____ _______.
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______ __________ _______ _________ __________ __________ ___ __________ __________.
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____ __________ __________ _______ _________ _____ ________ _____ _____ ___ __________.
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