Question 50

Q46Long answerExercise 14.3

31 74 68 42 54 14 61 83 48 37 26 8 64 57 93 72 53 59 38 16 88 75 56 46 66 45 61 54 27 27 44 63 58 43 81 64 67 36 49 50 76 38 47 55 77 62 53 40 71 60 58 45 42 34 46 40 59 42 29 Construct a group frequency distribution of the data above using the classes 0-9, 10-19 etc., and hence find the number of students who secured more than 49 marks. Solution : Class Tally Marks Frequency 0-9 | 1 10-19 || 2 20-29 |||| 4 30-39 |||| | 6 40-49 |||| |||| |||| 15 50-59 |||| |||| || 12 60-69 |||| |||| 10 70-79 |||| | 6 80-89 ||| 3 90-99 | 1 Total 60 STATISTICS AND PROBABILITY 147 From the table above, we find that the number of students who secure more than 49 marks is (12 + 10 + 6 + 3 + 1), i.e., 32.