Self Studies

Measures of Cen...

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  • Question 1
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    Sam's test scores are History $$76$$, Geography $$74$$, Math $$92$$, English $$81$$ and Chemistry $$80$$. If the average (arithmetic mean) score is $$M$$ and the median score is $$m$$, what is the value of $$M-m$$?

  • Question 2
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    The mean of $$a, b, c, d$$ and $$e$$ is $$28$$. If the mean of $$a, c$$ and $$e$$ is $$24$$, what is the mean of $$b$$ and $$d$$?

  • Question 3
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    In which two measure of central tendency do not affect the outliers?

  • Question 4
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    What is the mode of $$2, 7, 8, 11, 7, 1, 9, 8, 7$$?

  • Question 5
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    If the median of $$\dfrac {x}{3}, \dfrac {x}{2}, \dfrac {x}{4}, \dfrac {2x}{9}$$ and $$x$$ is $$5$$, find the value of $$x$$.

  • Question 6
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    Find the median of $$15\dfrac {2}{3}, 15.03, 15, 15\dfrac {1}{3}$$ and $$15.3$$

  • Question 7
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    Directions For Questions

    Study the following table and answer the questions based on it.
    Number of Candidates Appeared, Qualified and Selected in a Competitive Examination from Five States Delhi, H.P, U.P, Punjab and Haryana Over the Years $$1994$$ to $$1998$$
    DelhiH.P.U.PPunjabHaryana
    YearAppQualSelAppQualSelAppQualSelAppQualSelAppQualSel
    $$1997$$$$8000$$$$850$$$$94$$$$7800$$$$810$$$$82$$$$7500$$$$720$$$$79$$$$8200$$$$680$$$$85$$$$6400$$$$700$$$$75$$
    $$1998$$$$4800$$$$500$$$$48$$$$7500$$$$800$$$$65$$$$5600$$$$620$$$$85$$$$6800$$$$600$$$$70$$$$7100$$$$650$$$$75$$
    $$1999$$$$7500$$$$640$$$$82$$$$7400$$$$560$$$$70$$$$4800$$$$400$$$$48$$$$6500$$$$525$$$$65$$$$5200$$$$350$$$$55$$
    $$2000$$$$9500$$$$850$$$$90$$$$8800$$$$920$$$$86$$$$7000$$$$650$$$$70$$$$7800$$$$720$$$$84$$$$6400$$$$540$$$$60$$
    $$2001$$$$9000$$$$800$$$$70$$$$7200$$$$850$$$$75$$$$8500$$$$950$$$$80$$$$5700$$$$485$$$$60$$$$4500$$$$600$$$$75$$

    ...view full instructions

    For which state the average number of candidates selected over the years is the maximum?

  • Question 8
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    What is the median of the values $$11, 7, 6, 9, 12, 15, 19$$?

  • Question 9
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    Directions For Questions

    Study the following table and answer the questions based on it.
    Expenditure of a Company (in Lakh Rupees) per Annum Over the given years.
    YearSalaryFuel and TransportBonusInterest on LoansTaxes
    $$1998$$$$288$$$$98$$$$3.00$$$$23.4$$$$83$$
    $$1999$$$$342$$$$112$$$$2.52$$$$32.5$$$$108$$
    $$2000$$$$324$$$$101$$$$3.84$$$$41.6$$$$74$$
    $$2001$$$$336$$$$133$$$$3.68$$$$36.4$$$$88$$
    $$2002$$$$420$$$$142$$$$3.96$$$$49.4$$$$98$$

    ...view full instructions

    What is the average amount of interest per year which the company had to pay during this period?

  • Question 10
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    Mean weight of a class is $$50Kg$$. Mean weight of boys and girls are $$52Kg$$ and $$42Kg$$ respectively.
    Find the ratio of number of boys and girls in the school.

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