The marks obtained by 40 students in an examination are as follows : 85 77 87 74 77 78 79 89 95 90 78 73 86 83 91 74 84 81 83 75 77 70 81 69 75 63 76 87 61 ...

Question 1 Report

The marks obtained by 40 students in an examination are as follows :

85 77 87 74 77 78 79 89 95 90 78 73 86 83 91 74 84 81 83 75 77 70 81 69 75 63 76 87 61 78 69 96 65 80 84 80 77 74 88 72.

(a) Copy and complete the table for the distribution using the above data.

Class Boundaries Tally Frequency
59.5 - 64.5    
64.5 - 69.5    
69.5 - 74.5    
74.5 - 79.5    
79.5 - 84.5    
84.5 - 89.5    
89.5 - 94.5    
94.5 - 99.5    

(b) Draw a histogram to represent the distribution.

(c) Using your histogram, estimate the modal mark.

(d) If a student is chosen at random, find the probability that the student obtains a mark greater than 79.