Self Studies

Measures of Dis...

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  • Question 1
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    $$5$$ students of a class have an average height $$150\ cm$$ and variance $$18\ cm^{2}$$. A new student, whose height is $$156\ cm$$, joined them. The variance (in $$cm^{2})$$ of the height of these six students is

  • Question 2
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    A student scores the following marks in five test: $$45, 54, 41, 57, 43$$. 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 $$x_1, x_2, .., x_{10}$$ is such that the mean of first four of these is $$11$$, the mean of the remaining six is $$16$$ and the sum of square of all of these is $$2,000$$; then the standard deviation of this data is?

  • Question 4
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    For two data sets, each of size $$ 5$$, the variances are given to be $$4$$ and $$5$$  and the corresponding means are given to be $$2$$ and $$4,$$ respectively. The variance of the combined data set is 

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

  • Question 6
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    Find the Standard Deviation of of first $$10$$ multiples of $$3$$.

  • 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
    $$340,150,210,240,300,310,320$$ is

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