
stuzzo:
stuzzo: I will attempt to refute Nakedmolerat with the following example of 12 students constructed using my argument above.
Maths Science
4th Quartile 6,5,5 7,7,7
3rd Quartile 5,5,5 5,5,4
2nd Quartile 5,4,4 4,4,3
1st Quartile 3,3,3 3,3,1
Total 53 53
So they can have the same average score after 12 students, go to 16 and the Science average can be higher.
The argument might be over the best way to demonstrate "rated the best" but Nakedmolerat's explanation changes between the subjects, at least average is consistent.
joker97:stuzzo: I will attempt to refute Nakedmolerat with the following example of 12 students constructed using my argument above.
Maths Science
4th Quartile 6,5,5 7,7,7
3rd Quartile 5,5,5 5,5,4
2nd Quartile 5,4,4 4,4,3
1st Quartile 3,3,3 3,3,1
Total 53 53
So they can have the same average score after 12 students, go to 16 and the Science average can be higher.
The argument might be over the best way to demonstrate "rated the best" but Nakedmolerat's explanation changes between the subjects, at least average is consistent.
you mean the "mean"
nakedmolerat:
Easy
a) Maths rated the BEST  most students gave score 45 (you need to imagine the boxplot as histogram or area under the graph to understand this better). English is the second best as they have median value higher than Science. English is not the best because the number of students who like/dislikes the subject is spread out more than maths.
b) Both median and upper quartile is 5 whilst the lower quartile is 4. This means 50% of the students choose score of 4 and 5. From that group more than 50% of them chose score of 5 (or more than 25% overall).
Sony

Sony

Sony

bazzer: I don't believe it's a right/wrong kind of question. It just requires you to justify your answer, which you could pick from a range of rightish answers.
English and maths were rated the same and this is represented by the same median for both. This means that 50% rated them the same.
