Self Studies

Measures of Cen...

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  • Question 1
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    The weights (in $$kg$$) of $$13$$ students are given below:
    $$44$$, $$42$$, $$43$$, $$46$$, $$52$$, $$39$$, $$40$$, $$42$$, $$41$$, $$47$$, $$49$$, $$38$$, $$50$$ Calculate the median weight

  • Question 2
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    Calculate the mode for the following data:
    $$20$$, $$18$$, $$20$$, $$16$$, $$15$$, $$23$$, $$16$$, $$17$$, $$15$$, $$16$$

  • Question 3
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    Mode of the observations $$5, 7, 2, 8, 5, 5, 8, 2, 5, 8, 7, 6$$ is 

  • Question 4
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    Mean of the first six even numbers is

  • Question 5
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    Find the median of each of the following data:
    $$(i)$$ $$7$$, $$10$$, $$5$$, $$20$$, $$18$$, $$25$$, $$17$$
    $$(ii)$$ $$3$$, $$5$$, $$9$$, $$2$$, $$8$$, $$7$$, $$6$$, $$7$$, $$4$$
    $$(iii)$$ $$37$$, $$42$$, $$31$$, $$46$$, $$25$$, $$27$$, $$30$$, $$32$$, $$41$$

  • Question 6
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    Find the mode for the following: $$36$$, $$32$$, $$31$$, $$31$$, $$29$$, $$31$$, $$30$$, $$32$$, $$40$$, $$46$$, $$31$$, $$32$$, $$35$$, $$37$$, $$40$$. If one observation $$31$$ is replaced by $$32$$, will the modal value change? If yes, find it 

  • Question 7
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    A variate takes $$11$$ values which are arranged in ascending order of their magnitudes It is found that $$4$$th, $$6$$th and $$8$$th observations are $$8$$, $$6$$ and $$4$$ respectively What is the median of the distribution?

  • Question 8
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    The runs scored by some players of a cricket team in a one day match are given below:
    $$83$$, $$40$$, $$36$$, $$0$$, $$69$$, $$105$$, $$73$$, $$21$$, $$8$$ Find the median runs

  • Question 9
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    The marks obtained by $$10$$ students in a test are:
    $$12$$, $$22$$, $$32$$, $$41$$, $$26$$, $$30$$, $$14$$, $$11$$, $$18$$, $$35$$. Find the median marks 

  • Question 10
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    The arithmetic mean of first five natural numbers is

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