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Presentation of Data Test - 39

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Presentation of Data Test - 39
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  • Question 1
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    Directions For Questions

    Study the following pie chart carefully and answer the questions based on it.
    The pie chart given shows the number of shoes of$$5$$ different brands in a multibrand store. There are total $$1200$$ shoes.

    ...view full instructions

    How many shoes are there of Reebok brand?

    Solution
    Number of Reebok brand shoes
    $$=\cfrac { 23 }{ 100 } \times 1200=276$$
  • Question 2
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    According to Secrist, "............. is the process of arranging data into sequences according to their common characteristics or separating them into different but related parts".
  • Question 3
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    If data are presented for the growth of the population in India over different years, it is knows as ____________________.
  • Question 4
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    _______ refers to systematic and logical arrangement of data in columns and rows in accordance with some salient features and characteristics.
    Solution
    Tabulation refers to systematic and logical arrangement of data in columns and rows in accordance with some salient features and characteristics.
    “A systematic arrangement” of data in rows and columns is called Table hence it will be under tabulation.
  • Question 5
    1 / -0
    Services sector is also called:
  • Question 6
    1 / -0

    Directions For Questions

    Study the following pie chart carefully and answer the questions based on it.
    The pie chart given shows the number of shoes of$$5$$ different brands in a multibrand store. There are total $$1200$$ shoes.

    ...view full instructions

    What is the difference in number of shoes of Puma and Vans?

    Solution
    Difference in number of shoes of Puma and Vans
    $$=\cfrac { \left( 21-13 \right)  }{ 100 } \times 1200=96\quad $$
  • Question 7
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    A family spends Rs. $$6000$$ p.m to meet the monthly expenditure. The expenditure has been shown in the given pie diagram. The miscellaneous expenditure (in Rs.) is

    Solution
    $${ 360 }^{ o }$$ is equivalent to $$6000$$ p.m
    $$\therefore$$ $${1}^{o}$$ is equivalent $$\cfrac { 6000 }{ 360 } $$
    $$\Rightarrow { 120 }^{ o }$$ (corresponding to misc.)$$=\cfrac { 6000 }{ 360 } \times 120=2000Rs.$$
  • Question 8
    1 / -0
    The following data gives the distribution of monthly expenses under different heads.
    Type of Commodity
    Expenditure (in rupees)
    Food$$300$$
    Rent$$200$$
    Clothes$$125$$
    Education$$110$$
    Miscellaneous$$75$$
    Savings$$90$$
    A pie chart is drawn for the above data, the angle subtended at the centre for the item 'Rent' will be
    Solution
    $$Rs. 900$$ sweeps $$\angle 360^{\circ}$$
    $$Re. 1$$ sweeps $$\dfrac {360^{\circ}}{900}$$
    $$Rs. 200$$ sweeps $$\dfrac {360}{900}\times 200 = 80^{\circ}$$.
  • Question 9
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    Allocations to various sectors of the yearly budget for S. $$1000$$ crores are represented by the following pie diagram. The expenditure (in rupees) on agriculture is

    Solution
    $${ 360 }^{ o }\rightarrow Rs.1000crore\quad ,{ 1 }^{ o }\rightarrow Rs.\cfrac { 1000 }{ 360 } $$
    Also, expenditure of agriculture is equivalent to $$180-54-54={ 72 }^{ o }$$
    $$\Rightarrow { 72 }^{ o }\rightarrow \cfrac { 1000 }{ 360 } \times { 72 }^{ o }=Rs.200\quad crores$$
  • Question 10
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    In a test in Mathematics, $$20$$% of the students obtained "first class". If the data are represented by a Pie-Chart, what is the central angle corresponding to "first class"?
    Solution
    The Pie Chart is a part of Circle,

    Total Central Angle is $$360^o$$

    So, $$360^o=100\%$$ 
    $$\Rightarrow \dfrac{360^o}{100}=1\%$$

    So, $$20\%$$ $$=\dfrac{360^o}{100}\times 20=72^o$$
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