Question

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

No. Physics
(Xi )
Mathematics
(Yi )
X2
i
Y2
i
Xi Yi
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.

08 Feb 2021
Answer :
Word Count : 233
To calculate the correlation between the marks in Physics (denoted by \(X_i\)) and Mathematics (denoted by \(Y_i\)), we will use the formula for Pearson's correlation coefficient \(r\): \[ r = \frac{n \sum X_i Y_i - \sum X_i \sum __________ ______ ________ _____ __________ ________ _______.
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