JEE Maths - Measure of central tendency

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Question - 1

Find median from the following distribution :

Class Frequency
5 -10 5
10-15 6
15-20 15
20-25 10
25-30 5
30-35 4
35-40 2
40-45 2
  • A 9.50
  • B 19.50
  • C 19
  • D 18

Question - 2

A set of 7 observations has mean 10 and another set of 3 observations has mean 5. Then find the mean of combined set.

  • A 8
  • B 8.50
  • C 7
  • D 9

Question - 3

The standard deviations of 25 numbers is 40. If each of the numbers is increased by 5, then find the new standard deviation.

  • A 45
  • B 76
  • C 40.00
  • D 41

Question - 4

If mean = 22 & median = 23 then find value of mode

  • A 24.00
  • B 23.00
  • C 20.00
  • D 25.00

Question - 5

Find the mean deviation about median for the following data 340, 150, 210, 240, 300, 310, 320.

  • A 52.80
  • B 12.80
  • C 42.80
  • D 42.80

Question - 6

Mean of 100 items is 49. It was discovered that three items which should have been 60,70,80 were wrongly read as 40, 20,50 respectively. Then find the correct mean.

  • A 50.00
  • B 30.00
  • C 40.00
  • D 70.00

Question - 7

The mean of 5 numbers is 18. If one number is excluded, their mean becomes 16. Then find the excluded number

  • A 26.00
  • B 16.00
  • C 6.00
  • D 5.00

Question - 8

The mean and S.D. of the marks of 200 candidates were found to be 40 and 15 respectively. Later, it was discovered that a score of 40 was wrongly read as 50. Then find correct standard deviation.

  • A 14
  • B 14.98
  • C 15.98
  • D 24.98

Question - 9

If the mean of a set of observations xl, x2, ..., x10 is 20, then find the mean of x1 + 4, x2 + 8, ...., x10 + 40.

  • A 2.00
  • B 12.00
  • C 42.00
  • D 32.00

Question - 10

The mean weight of g items is 15. If one more item is added to the series, the mean becomes 16. Then find value of 10th item.

  • A 5
  • B 25.00
  • C 7.00
  • D 1