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Measures of Dis...

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  • Question 1
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    Find the variance of the following distribution.

    Class interval
    		$$20-24$$
    		$$25-29$$
    		$$30-34$$
    		$$35-39$$
    		$$40-44$$
    		$$45-49$$
    Frequency
    		$$15$$
    		$$25$$
    		$$28$$
    		$$12$$
    		$$12$$
    		$$8$$

  • Question 2
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    If the mean of the numbers $$a,b,8,5,10$$ is $$6$$ and their variance is $$68$$, then $$ab$$ is equal to

  • Question 3
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    If the median of the data 6,7,x-2,x,18,21 written in ascending order is 16, then the variance of that data is 

  • Question 4
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    If $$n=10, \bar{x}=12$$ and $$\sum x^2=1530$$, then calculate the coefficient of variation.

  • Question 5
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    Calculate the standard deviation of the following data.

    x
    		$$3$$
    		$$8$$
    		$$13$$
    		$$18$$
    		$$23$$
    f
    		$$7$$
    		$$10$$
    		$$15$$
    		$$10$$
    		$$8$$

  • Question 6
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    Calculate the standard deviation of the following data.
    $$10, 20, 15, 8, 3, 4$$

  • Question 7
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    Let X denote the number of scores which exceed 4 in 1 toss of a symmetrical die. Consider the following statements :
    1. The arithmetic mean of X is 6.
    2. The standard deviation of X is 2.
    Which of the above statements is/are correct ?

  • Question 8
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    The arithmetic mean of the observations 10,8,5,a,b is 6 and their variance 6.8. Then ab=

  • Question 9
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    Directions For Questions

    As median divides an arranged sense into two equal parts, in similar way quartile divides an arranged series in $$4$$ equal part. For ungrouped frequency distribution formula of finding $$i^{th}$$ quartile $$=Q_i=\left\{i\cdot \left(\displaystyle\frac{N+1}{4}\right)\right\}^{th}$$ term, $$i=1, 2, 3$$.
    Quartile deviation: half of difference between upper quartile & lower quartile.
    $$\Rightarrow$$ Quartile deviation(Q.D.)$$=\displaystyle\frac{1}{2}(Q_3-Q_1)$$
    $$\Rightarrow$$ Coefficient of quartile $$=\displaystyle\frac{Q_3-Q_1}{Q_3+Q_1}$$.

    ...view full instructions

    Coefficient of quartile deviation of numbers $$6, 8, 9, 10, 11, 12, 14$$ is?

  • Question 10
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    Which of the following are measures of dispersion?

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