Mathematics - Statistics

Question - 1

The one which is the measure of the central tendency, is

  • A mode
  • B range
  • C mean deviation
  • D standard deviation

Question - 2

The measure of central tendency which takes into account all the data items is

  • A mean
  • B median
  • C mode
  • D quartiles

Question - 3

Which one of the following is not the measure of central tendency

  • A median
  • B mode
  • C \(Q_{1}\)
  • D range

Question - 4

The median of a given data distribution can be determined graphically by

  • A frequncy polygon
  • B pie-chart
  • C histogram
  • D ogive

Question - 5

The only measure of the central tendency that can't be determined graphically, is

  • A mean
  • B median
  • C mode
  • D harmonic mean

Question - 6

In a moderately symmetrical data distribution

  • A mode = 2 median - mean
  • B mode = 3 median -2 mean
  • C mode = 2 mean -3 median
  • D mode = 3 mean -2 median

Question - 7

The mean of variate x is \(\overline{x}\).  Then mean of the variate \(x+10\over k\), is

  • A \(\overline{x}\over k\)
  • B \(\overline{x}+10\over k\)
  • C \({\overline{x} \over k} +10\)
  • D \(k\ \overline{x}+10\)

Question - 8

The mean of first n natural numbers, is

  • A \(\frac { n }{ 2 } \)
  • B \(\frac { n\left( n+1 \right) }{ 2 } \)
  • C \(\frac { \left( n+1 \right) }{ 2 } \)
  • D \(\frac { \left( n+1 \right) }{ 2 } \)

Question - 9

The mean of squares of first n natural numbers, is

  • A \(\frac { \left( n+1 \right) }{ 2 } \)
  • B \(\frac { n }{ 2 } \)
  • C \(\frac { 2n+1 }{ 6 } \)
  • D \(\frac { \left( n+1 \right) \left( 2n+1 \right) }{ 6 } \)

Question - 10

If a variable takes values 0,1,2,3,......,n with frequencies as nC0, nC1, nC2,........nCrespectively, then mean of the given data is, 

  • A \(\frac { n }{ 2 } \)
  • B \(\frac { n\left( n+1 \right) }{ 2 } \)
  • C \(\frac { n }{ 4 } \)
  • D NONE OF THESE
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