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Presentation of Data Test - 21

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Presentation of Data Test - 21
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  • Question 1
    1 / -0
    Data was collected on a student's typing rate and graph was drawn as shown below. Approximately how many words had this student typed in $$30$$ seconds?

    Solution
    The correct answer is option (c). approximately $$28$$ words were typed in $$30$$ seconds.
  • Question 2
    1 / -0
    Data represented using circle is known as 
    Solution
    A pie chart represents the data in circular form.
    Hence, option $$D$$ is correct.
  • Question 3
    1 / -0
    Look at the histogram and answer the following .
    How many workers earn more than Rs. 850?

    Solution
    From the graph, we get the following table.

     $$\text{Wages (Rs.)}$$ $$\text{Number of workers}$$
     800-810 3
     810-820
     820-830 1
     830-840 9
     840-850 5
     850-860 1
     860-870 3
     870-880 1
     880-890 1
     890-900
    The workers who earn more than $$850$$ are $$n(850-860)+n(860-870)+n(870-880)+n(880-890)+n(890-900)=1+3+1+1+4=10$$ 
  • Question 4
    1 / -0
    For drawing a frequency polygon of a continuous frequency distribution, we plot the points whose ordinates are the frequencies of the respective classes and abscissae are the:
    Solution
    For drawing a frequency polygon of a continuous frequency distribution,
    we draw the class marks of the classes on the abscissae and the frequency of the classes on the ordinates.

    We know, class marks are the mean of lower and upper limit of the class intervals.

    Hence, option $$C$$ is correct.
  • Question 5
    1 / -0

    Directions For Questions

    A group of $$360$$ people were asked to vote for their favourite season from the three seasons rainy, winter and summer.

    ...view full instructions

    Find the central angle of pie chart for winter.

    Solution
    Central Angle for Summer $$= \dfrac { 90 }{ 360 }  \times  360 = 90$$ degree

    Central Angle for Rainy $$= \dfrac { 120 }{ 360 }  \times  360 = 120$$  degree

    Central Angle for Winter $$= \dfrac { 150 }{ 360 }  \times  360 = 150$$ degree
  • Question 6
    1 / -0
    Class mark of a particular class is 10.5 and class size is 7, then class interval is :
    Solution
    Class mark is the mid point of the class interval. 
    Class size is the upper limit minus lower limit.
    Given that class mark of a class is $$10.5$$ and 
    class size is $$7$$
    By option verification,
    Opition A class mark is $$\dfrac{10.5+17.5}{2}=\dfrac{28}{2}=14$$ False

    Option B class mark is $$\dfrac{10.5+3.5}{2}=\dfrac{14}{2}=7$$ False

    Option C class mark is $$\dfrac{17.5+7}{2}=\dfrac{24.5}{2}=12.25$$ False

    Option D class size is $$14-7=7$$ and
    Class mark is $$\dfrac{14+7}{2}=\dfrac{21}{2}=10.5$$ True

    Therefore the class interval is $$7-14$$
  • Question 7
    1 / -0
    Class mark of class interval 60 - 70 is
    Solution
    Class mark is the mid point of the class interval.
    Therefore, the class mark for the interval $$60-70$$ is $$\dfrac{60+70}{2}=\dfrac{130}{2}=65$$
  • Question 8
    1 / -0
    If the class marks in a frequency distribution are 19.5, 26.5, 33.5, 40.5, then the class corresponding to the class mark 33.5 is :
    Solution
    Class mark is the mid point of the class interval. 
    Class size is the upper limit minus lower limit.
    Given that class mark of a class is $$6.5$$ and 
    the class size is $$26.5-19.5=33.5-26.5=40.5-33.5=7$$
    By option verification,
    Opition A class mark is $$\dfrac{16+23}{2}=\dfrac{39}{2}=19.5$$ False

    Option B class mark is $$\dfrac{30+23}{2}=\dfrac{53}{2}=26.5$$ False

    Option C class mark is $$\dfrac{30+37}{2}=\dfrac{67}{2}=33.5$$ and
    class size is $$37-30=7$$ True 

    Option D class mark is $$\dfrac{37+41}{2}=\dfrac{78}{2}=39$$ False

    Therefore the class interval is $$30-37$$ 
  • Question 9
    1 / -0
    The class mark of the class 29.5 $$-$$ 30.5 is :
    Solution
    Class mark is the mid point of the class interval. 

    Therefore, the class mark for the interval $$29.5-30.5$$ is $$\dfrac{29.5+30.5}{2}=\dfrac{60}{2}=30$$
  • Question 10
    1 / -0
    The class mark of the class 100 $$-$$ 150:
    Solution
    Class mark is the mid point of the class interval.
    Therefore the class mark of the class $$100-150$$ is $$\dfrac{100+150}{2} = \dfrac{250}{2}=125$$
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