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Measures of Cen...

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  • Question 1
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    The median of a set of $$9$$ distinct observations is $$20.5$$. If each of the largest $$4$$ observation of the set is increased by $$2$$, then the median of the new set

  • Question 2
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    In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class are 72, then the average marks of the girls :

  • Question 3
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    If mode of the following data is $$7$$, then the value of $$k$$ in the $$2, 4, 6, 7, 5, 6, 10, 6, 7, 2k + 1, 9, 7, 13$$ is:

  • Question 4
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    The numbers $$3, 5, 7$$ and $$9$$  have their respective frequencies $$ x-2, x+2, x-3 $$  and $$ x+3$$. If the arithmetic mean is $$6.5$$, then the value of $$ x$$ is

  • Question 5
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    Mode of the data
    $$15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15$$ is

  • Question 6
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    Median of the following numbers:
    $$4, 4, 5, 7, 6, 7, 7, 12, 3$$ is

  • Question 7
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    Directions For Questions

    The following table gives the weekly wages of workers in a factory :
    Weekly wagesMid-value $$(x_i)$$No. of $$(f_i)$$ workers$$f_ix_i$$Cumulativefrequency
    50-5552.55262.55
    55-6057.5201150.025
    60-6562.510625.035
    65-7067.510675.045
    70-7572.59652.054
    75-8077.56465.060
    80-8582.512990.072
    85-9087.58700.080
    $$\sum f_i=80$$$$\sum f_ix_i =5520$$

    ...view full instructions

    The mean is

  • Question 8
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    If three sets of data had means of $$15, 22.5$$ and  $$24$$  based on $$6, 4,$$ and $$5$$ observations respectively, then the mean of these three sets combined is

  • Question 9
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    The mean weight of $$20$$  students is $$25$$ kg and the mean weight of another $$10$$ students is $$40$$ kg. Find the mean weight of the $$30$$ students.

  • Question 10
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    The number of observations in a group is $$40$$ . If the average of first  $$10$$  is  $$4.5$$  and that of the remaining  $$30$$  is  $$3.5$$, then the average of the whole group is

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