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Homework answers / question archive / The above table presents a hypothetical distribution of final scores (grouped data) obtained by students taking the statistics class

The above table presents a hypothetical distribution of final scores (grouped data) obtained by students taking the statistics class

Economics

The above table presents a hypothetical distribution of final scores (grouped data) obtained by students taking the statistics class. (50 marks total) Points 40-49 5 50-59 10 60-69 10 70-79 30 80-89 S
b. Calculate i. The fiftieth (50th) percentile (2 marks) ii. The inter-quartile (Q) range (Hint: Find the 25th percentile and 75th percentile first) (5 marks - 4 marks for steps and 1 mark for the answer) c. Suppose everyone's score increased by 10, calculate i. The mode (2 marks) ii. The median (4 marks – 2 marks for steps and 2 marks for the answer) iii. The mean (4 marks - 2 marks for steps and 2 marks for the answer) iv. Variance (4 marks - 2 marks for steps and 2 marks for the answer) v. Standard Deviation (4 marks – 2 marks for steps and 2 marks for the answer) Comparing the answers of part c with part a? Do you observe any differences for the mode, median, mean, variance and standard deviation? For each of the following central tendency or dispersion measures, please use one sentence to summarize your observation. i. The mode (1 mark) ii. The median (1 mark) d. Focus h (United States) MacBook

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