Answer to Question #251578 in Statistics and Probability for joy

Question

The table below show Business statistics I examination marks for a class of one hundred students .
Marks 10-19 20-29 30-39 40-49 50-59 60-69
Number of students 4 8 a 22 48 b
The mean score of the students was 46.5
(i) Show that the values of a and b are 12 and 6 respectively. (5marks)
(ii) Estimate the median for the above sample. (3marks)
(iii) Determine the variance and the standard deviation (4 marks)
(iv) Given that 32% of the students failed the examination, what was the cut off points.
(3 marks)
(v)Estimate the mode for this data. (3marks)

Answer 1

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