Statistics

1

The geometric mean of 32, 4, 8, X, 2 is 8. What is the value of X?

  1. 2
  2. 4
  3. 8
  4. 16
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2

The mean of 100 values is 45. If 15 is added to each of the first forty values and 5 is subtracted from each of the remaining sixty values, the new mean becomes

  1. 45
  2. 48
  3. 51
  4. 55
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3

The arithmetic mean and geometric mean of two numbers are 14 and 12 respectively. What is the harmonic mean of the numbers?

  1. 32/3
  2. 10
  3. 72/7
  4. 13
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4

Ten observations 6, 14, 15, 17, x + 1, 2x - 13, 30, 32, 34 and 43 are written in ascending order. The median of the data is 24. What is x?

  1. 15
  2. 18
  3. 20
  4. 24
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5

Which one of the following relations for the numbers 10, 7, 8, 5, 6, 8, 5, 8, 6 is correct?

  1. Mean = Mode
  2. Mean = Median
  3. Mean > Median
  4. Mean > Mode
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6

In histogram the width of the bars is proportional to

  1. number of classes
  2. class interval
  3. cumulative frequency
  4. frequency
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7

Consider the following frequency distribution:

What are the values of f1 and f2 respectively?

  1. 10 and 17
  2. 17 and 10
  3. 11 and 16
  4. 16 and 11
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8

An individual purchases three qualities of pencils. The relevant data is given below:

It is known that the average price per pencil is ₹1.25. What is the value of x?

  1. ₹10
  2. ₹30
  3. ₹40
  4. ₹60
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9

In an asymmetrical-distribution, if the mean and median of the distribution are 270 and 220 respectively, then the mode of the data is

  1. 120
  2. 220
  3. 280
  4. 370
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10

In a pie diagram, there are four slices with angles 150°, 90°, 60° and 60°. A new pie diagram is formed by deleting one of the slices having angle 60° in the given pie diagram. In the new pie diagram

  1. The largest slice has angle 150°
  2. The smallest slice has angle 70°
  3. The largest slice has angle 180°
  4. The smallest slice has angle 90°
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11

Consider the following distribution:

If the mean of the above distribution is 50, what is the value of f?

  1. 24
  2. 34
  3. 56
  4. 96
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12

The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students are

  1. 70
  2. 65
  3. 60
  4. 50
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13

The mean of 5 numbers is 15. If one more number is included, the mean of the 6 numbers becomes 17. What is the included number?

  1. 24
  2. 25
  3. 26
  4. 27
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