Mathematics - Statistics

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Question - 1

The mean height of 25 male workers in a factory is 161cm and mean height of 35 female workers in the same factory is 158 cm. The combined mean height of 60 workers in the factory is

  • A 159.25
  • B 159.5
  • C 159.75
  • D 158.75

Question - 2

In an english learning classes, there are 8 men, 7 women and 5 children whose mean ages separately are respectively 24,20 and 6 yr. The mean age of English learning classes candidate is

  • A 18.0
  • B 18.1
  • C 18.2
  • D 18.3

Question - 3

If g1 and g2 are the geometric means of two series of n1 and n2 items. Then, the GM of the series obtained on combining is

  • A \({ [(g_{ 1 })^{ n_{ 1 } }(g_{ 2 })^{ n_{ 2 } }] }^{ \frac { 1 }{ n_{ 1 }+n_{ 2 } } }\)
  • B \((g_1g_2)^{n_1\over{n_1+n_2}}\)
  • C \((g_1g_2)^{n_1\over{n_1+n_2}}\)
  • D \((g_1g_2)^{n_1n_2\over{n_1+n_2}}\)

Question - 4

The mean deviation and coefficient of mean deviation about the median from the data of weight (in kg) 54,50,40,42,51,45,47,55,57 is

  • A 4.5, 0.0900
  • B 4.78, 0.0956
  • C 3.8, 0.0056
  • D 4.96, 0.0946

Question - 5

Find the mean deviation about the mean of the following data.

Size 1 3 5 7 9 11 13 15
Frequency 3 3 4 14 7 4 3 4
  • A 2.95
  • B 3.24
  • C 4
  • D 2

Question - 6

The SD of a variate x is \(\sigma\). The SD of the variate \(ax+b\over c\), where a,b and c are constants is

  • A \(({a\over c})\sigma\)
  • B \(\begin{vmatrix} \frac { a }{ c } \end{vmatrix}\sigma \)
  • C \(({a^2\over C^2})\sigma\)
  • D None of these

Question - 7

If the standard deviation of y1,y2,...yn is 3.5, then the standard deviation of -2y1-3,-2y2-3,...,-2yn-3 is

  • A -7
  • B 9
  • C 7
  • D 2.45

Question - 8

The means of two samples of size 200 and 300 were found to be 25 and 10, respectively. Their standard deviations were 3 and 4, respectively. The variance of the combined sample of size 500 is

  • A 64
  • B 65.2
  • C 67.2
  • D 642

Question - 9

The sum of squares of deviations taken from mean 50 is 250. The coeficient of variation is

  • A 10%
  • B 40%
  • C 50%
  • D None of these

Question - 10

Which of the following statement regarding arithmetic mean is true?

  • A When observation is increased or decreased (by a constant), mean is also increased or decreased by a same constant
  • B When observation is increased (by a constant), mean will decreased by a same constant
  • C When observation is decreased (by a constant), mean will increased by a same constant
  • D None of the above