Self Studies

Measures of Dis...

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  • Question 1
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    55 students of a class have an average height 150 cm150\ cm and variance 18 cm218\ cm^{2}. A new student, whose height is 156 cm156\ cm, joined them. The variance (in cm2)cm^{2}) of the height of these six students is

  • Question 2
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    A student scores the following marks in five test: 45,54,41,57,4345, 54, 41, 57, 43. His score is not known for the sixth test. If the mean score is 48 in the six tests, then the standard deviation of the marks in six test is 

  • Question 3
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    If the data x1,x2,..,x10x_1, x_2, .., x_{10} is such that the mean of first four of these is 1111, the mean of the remaining six is 1616 and the sum of square of all of these is 2,0002,000; then the standard deviation of this data is?

  • Question 4
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    For two data sets, each of size 5 5, the variances are given to be 44 and 55  and the corresponding means are given to be 22 and 4,4, respectively. The variance of the combined data set is 

  • Question 5
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    The variance of first 50 50 even natural numbers is

  • Question 6
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    Find the Standard Deviation of of first 1010 multiples of 33.

  • Question 7
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    If the coefficient of variation and standard deviation of a distribution are 50% and 20 respectively, then its mean is

  • Question 8
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    The variance of first n natural numbers is

  • Question 9
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    Coefficient of deviation is calculated by the formula:

  • Question 10
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    The mean deviation about median from the data
    340,150,210,240,300,310,320340,150,210,240,300,310,320 is

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