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Data Handling Test - 27

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Data Handling Test - 27
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  • Question 1
    1 / -0

    Directions For Questions

    Answer the following question by reading the given pictograph.

    ...view full instructions

    The year in which the most number of TV sets have been sold is

    Solution
    From given pictograph, we can observe that the most number of TV sets have been sold in the year 2008. In the year 2008 maximum 500*8=4000 TV sets has been sold compare to other years.
  • Question 2
    1 / -0
    What is the difference of frequencies of the intervals  30-40 and 40-50 ?

    Solution

    $$\Rightarrow$$  In given histogram we can see, frequencies of the class intervals $$30-40$$ and $$40-50$$ are $$25$$ and $$10$$.
    $$\Rightarrow$$  Difference of frequencies of the intervals $$30-40$$ and $$40-50$$ $$=25-10=15$$

  • Question 3
    1 / -0
    Annual Development  Expenditure of a state under  different heads is as follows :
    Agriculture $$40\%$$
    Education $$35\%$$
    Industry $$15\%$$
    Misc. $$10\%$$
    Which one of the following  charts represents this information ?
    Solution
    For pie diagram, find the sectorial angle in 
    each case as follows


    Angle

    Agriculture
    $$40\%$$
    $$=\cfrac{(360 \times 40)}{100}$$
    $$=144^{\circ}$$
    Education
    $$35\%$$
    $$=\cfrac{(360 \times 35)}{100}$$
    $$=126^{\circ}$$
    Industry
    $$15\%$$
    $$=\cfrac{(360 \times 15)}{100}$$
    $$=54^{\circ}$$

    Miscellaneous
     $$10\%$$
    $$=\cfrac{(360 \times 10)}{100}$$
    $$=36^{\circ}$$

  • Question 4
    1 / -0
    Which of the following graphs should be used to represent the percentage of boys and girls in a class?
    Solution
    Pie chart.
    It is a type of graph in which a circle is divided into sectors such that each represents a proportion of the whole.
    Percentage is usually represented with the help of these sectors. 
  • Question 5
    1 / -0

    Directions For Questions

    The data given below shows how many letters were collected from a post box on each of the days of a certain week.

    Monday $$\Box\Box\Box\Box\Box\Box\Box$$
    Tuesday $$\Box\Box\Box\Box\Box$$
    Wednesday $$\Box\Box\Box\Box$$
    Thursday $$\Box\Box\Box\Box\Box\Box$$
    Friday $$\Box\Box\Box\Box\Box\Box\Box\Box$$
    Saturday $$\Box\Box\Box$$
    $$\Box = 10$$ letters

    ...view full instructions

    How many less letters were collected on Wednesday than on Tuesday?
    Solution
    Given that one square box represents $$10$$ letters.
    On Tuesday there are 5 boxes.
    Therefore, number of letters collected on Tuesday are $$10\times5=50$$
    On Wednesday there are 4 boxes.
    Therefore, number of letters collected on Wednesday are $$10\times4=40$$

    There are $$50-40=10$$ letters less on Wednesday than on Tuesday.
  • Question 6
    1 / -0
    The given pie chart shoes the marks scored by a student in five different subjects English Hindi Mathematics Science and Social Science Assuming that the total marks obtained for the examination are $$540$$ Find the subject in which the student scored $$22.2\%$$ marks

    Solution
    Calculating the percentage of marks in different subjects we get
    Hindi $$=\displaystyle \frac{70^{\circ}}{360^{\circ}}\times 100=19.4\% $$
    Science  $$=\displaystyle \frac{80^{\circ}}{360^{\circ}}\times 100=22.2\% $$
    Social Science  $$=\displaystyle \frac{65^{\circ}}{360^{\circ}}\times 100=18.1\% $$
    English  $$=\displaystyle \frac{55^{\circ}}{360^{\circ}}\times 100=15.28\% $$
  • Question 7
    1 / -0
    The horizontal line in a bar graph is called:
    Solution
    In the Cartesian coordinate system, the horizontal reference line is called $$x$$-axis.
    Therefore, the horizontal line in a bar graph is called $$x$$-axis.
    Hence, option $$A$$ is correct.
  • Question 8
    1 / -0
    The incomplete pictograph shows the number of stamps(1 ticket = 4 stamps) collected by four pupils:
    The missing tickets represents the number of stamps collected by Anjali.
    Then how many tickets collected by Anjali?

    Solution
    From the given pictograph, the total tickets coolected by Lata, Kalyan, Vaishnavi are $$13$$.
    Given that one ticket symbol represents $$4$$ stamps.
    Therefore, total number of stamps collected by  Lata, Kalyan, Vaishnavi are $$13\times4=52$$.
    Given that, total number of stamps collected by four pupils is $$80$$.

    Therefore the number of stamps collected by Anjali = Total number of stamps collected by four pupil - number of stamps collected by three pupils (excluding Anjali) $$=80-52=28$$

    Hence, the number of tickets collected by Anjali are $$ \dfrac{28}4=7$$

  • Question 9
    1 / -0
    In statistics a suitable graph for representing the partitioning of total into sub parts is?
    Solution
    In statistics a suitable graph for representing the partitioning of total into sub parts is a pie graph.

  • Question 10
    1 / -0
    The bar graph shows the number of cakes sold at a shop in four days. What is the difference in number of cakes between the highest and the lowest daily sale?

    Solution
    From the above bar graph, the  highest number of cakes sold is $$45$$ (i.e., on Sunday).
    and the lowest number of cakes sold is $$25$$ (i.e., on Monday).

    Therefore, the difference between the highest and lowest number of cakes $$=45-25=20$$.

    Hence, option $$A$$ is correct.
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