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ICSE Notes 2017 : Mathematics (Infant Jesus Anglo - Indian Higher Secondary School (IJHSS), Kollam)

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Adhithyan Js
Good Shepherd Public School & Junior College, Thengana, Changanasserry
XI biomaths

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Maths 1. Measures of Central Tendency 1. The marks of 20 students in a test were as follows: 5, 6, 8, 9, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 18, 19, 20. Calculate the mean, median and mode. 2. Given below are the weekly wages of 200 workers in a factory: Weekly wages in rupees Number of workers 80 100 20 100 120 30 120 140 20 140 160 40 160 180 90 Calculate the mean weekly wages of the workers. 3. If the mean of 5, 4, 6, 3, 2x + 4, 3x 6, 5, 6, and 7 is 10, find the value of x. 4. The marks obtained by a set of students in an examination are given below: Marks 5 10 15 20 25 30 No. of students 6 4 6 12 x 4 Given that the mean mark of the set is 18, calculate the value of x. 5. If the median of 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 is 24, find the value of x. 6. Calculate the mean, the median and the mode of the following numbers: 3, 1, 5, 6, 3, 4, 5, 3, 7, 2. 7. If the mean of the following distribution is 7.5, find the missing frequency f: Variable 5 6 7 8 9 10 11 12 Frequency 20 17 f 10 8 6 7 6 8. If the median of 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 is 24, find the value of x. 9. The median of the following observation 11, 12, 14, 18, (x + 4), 30, 32, 35, 41 arranged in ascending order is 24. Find x.

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