Maths about dispersion

用戶36732

2010-12-05 6:44 pm

(1)The table below shows the statistical data for the results of S5A and S5B students in a Mathematics test. Lower quartileUpper quartileMedianMinimum valueMaximum valueS5A5075603590S5B5070654080If a student is randomly selected from each of these two classes, whose result will have a bigger chance of being higher than or equal to 50? Explain briefly. (2)Before training511982126161930141712After training151816202125182035232715Comparing the sales volume achieved by the salespersons before and after training, do you think the training course is useful to the salespersons? Explain briefly.

回答 (1)

良師益友

2010-12-05 10:08 pm

✔ 最佳答案

(1) Equal chance. The reason is both Lower Quartile is 50, showing that each class has 25% of students having marks less than or equal to 50 marks. Hence, the chance of happening should be equal. (2) Improved.Before training, 1st Quartile is 10, Median is 16, 3rd Quartile is 23.5;
After training, 1st Quartile is 17, Median is 20, 3rd Quartile is 23.

Even the 3rd Quartiles are roughly the same, the rises of 1st Quartile and Mean show the training is helpful to upgrade the performance of the lower achievers ( i.e. salesmen of lower efficiency ). Hence, we can argue there are improvements.

參考: Mathematics Teacher Mr. Ip

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