Question 2.

The following data are the 40 days umbrella sales from a store.                                         (8 Marks)

63 74 42 65 51 54 36 56 68 57
62 64 76 67 79 61 81 77 59 38
84 68 71 94 71 86 69 75 91 55
48 82 83 54 79 62 68 58 41 47
  1. Construct a frequency distribution and a relative frequency distribution for the data.

(2 marks)

  • Construct a cumulative frequency distribution and a cumulative relative frequency distribution for the data.                                                                         (2 marks)
    • Plot a relative frequency histogram for the data.                                      (1 mark)
    • Construct an ogive for the data.                                                              (1 mark)
    • What proportion of the grades is less than 60?                                          (1 mark)
    •  
Classes Frequency Relative Frequency Cumulative Frequency Cumulative Relative Frequency 30 – 40         40 – 50         50 – 60         60 – 70         70 – 80         80 – 90         90 – 100            

What proportion of the grades is more than 70?                                      (1mark) Use following class intervals to answer the above questions