Question

Question 1 (30 marks)
The scores of 60 students in a test are:
58 49 48 62 50 76 61 82 60 72
70 35 61 55 82 66 50 47 36 58
84 55 68 32 62 58 48 75 80 49
55 67 71 46 40 57 69 70 52 60
48 53 42 68 54 60 63 70 72 68
42 55 36 70 36 82 66 46 59 50
(i) Find the mean score of the data above. [4 marks]
(ii) Construct a 'Stem and Leaf chart' of the data. [6 marks]
(iii) Find the mode and median of the scores. [4 marks]
(iv) Complete the grouped frequency table below:  [6 marks]

Class Frequency
30 – 39
40 – 49
50 – 59
60 – 69
70 – 79
80 - 89

(v) Complete the table below and find the mean and median of the data based on
this frequency table. [6 marks]
Class Mid-point (m) Frequency(f) Cumulative Frequency mf
30 – 39
40 – 49
50 – 59
60 – 69
70 – 79
80 - 89

(vi) Why is the mean that you obtained from part (iv) above different from the
mean you calculated in part (i)? [4 marks]

Answer 1