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The following frequency distribution represents the marks of 100 students in a class. Question and answer 1 - 5 based on this frequency distribution.MarksNumber of students10-19320-29630-39840-492050-593560-691270-79880-89590-9931. The number of students scoring less than 50 is (a) 37(b) 38(c) 39(d) 402. The number of students scoring less than 80 but not less than 50 is (a) 37(b) 60(c) 55(d) 753. Suppose it is known that exactly three students have scored 60 each. Then the number of students who have scored more than 60 is (a) 28(b) 25(c) 16(d) 224. The number of students scoring less than 45 is(a) less than 17(b) between 17 and 37(c) between 37 and 40(d) between 40 and 455. The 75th percentile of the marks lies in between (a) 50-59(b) 80-89(c) 70-79(d) 60-69 |
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Answer» Correct option: 1 - (a), 2 - (c), 3 - (b), 4 - (d), 5 - (b) Explanation: 1. Number of students = 3 + 6 + 8 + 20 = 37. 2. Number of students = 35 + 12 + 8 = 55. 3. Number of students = -3 + 12 + 8 + 5 + 3 = 25. 4. Between 3 + 6 + 8 = 17 and 3 + 6 + 8 + 20 = 37. 5. There are 8 + 5 + 3 = 16 students with score above 69 and 16 + 12 = 28 students with score above 59. Since 25 lies in between 16 and 28, the 75th smallest score is in between 60 and 69. |
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