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Statistics Test - 3

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Statistics Test - 3
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Directions For Questions

    Answer the question based on the given table.

    Age Group Frequency Cumulative Frequency
    3 – 5 2  
    5 – 7 4  
    7 – 9 3  
    9 – 11 1 X
    11 – 13 2 Y
    13 – 15 6  

    ...view full instructions

    What is the class size of each age group?

    Solution

    The class size of each group = (upper limit – lower limit) of any group
    = 5 – 3 = 2

     

  • Question 2
    1 / -0

    Directions For Questions

    Answer the question based on the given table.

    Age group Frequency Cumulative frequency
    3 – 5 2  
    5 – 7 4  
    7 – 9 3  
    9 – 11 1 X
    11 – 13 2 Y
    13 – 15 6  

    ...view full instructions

    Which of the following options will be the value of Y?

    Solution

    Y = Cumulative frequency of age group 11 – 13
    = 2 + 4 + 3 + 1 + 2
    = 12
    [∵ Cumulative frequency of a class interval is obtained by adding all the frequencies upto that class interval]

     

  • Question 3
    1 / -0

    Directions For Questions

    Answer the question based on the table below.

    Class Interval Cumulative Frequency
    1 – 15 6
    15 – 30 10
    30 – 45
    45 – 60 24
    60 – 75
    75 – 90 39
    90 – 105 43

    ...view full instructions

    If the frequency for class interval 45 – 60 is 8, then what is the frequency for class interval 30 – 45?

    Solution

    Let the frequency of interval (30 – 45) be x.
    The cumulative frequency of class interval 45 – 60 is 24, but if it is 8, then
    10 + x + 8 = 24
    ⇒ x + 18 = 24
    ⇒ x = 24 – 18 = 6

     

  • Question 4
    1 / -0

    Directions For Questions

    Answer the question based on the table below.

    Class Interval Cumulative Frequency
    1 – 15 6
    15 – 30 10
    30 – 45
    45 – 60 24
    60 – 75
    75 – 90 39
    90 – 105 43

    ...view full instructions

    If frequencies for class–intervals 45 – 60 and 75 – 90 are 8 and 5 respectively, what is the frequency for class–interval 60 – 75?

    Solution

    Let the frequency of class interval (60 – 75) be x.
    Cumulative frequency of class interval 75 – 90 = 39
    ⇒ 24 + x + 5 = 39
    ⇒ 29 + x = 39
    ⇒ x = 39 – 29
    ⇒ x = 10

     

  • Question 5
    1 / -0

    Directions For Questions

    The age of 15 children of an area is as follows.

    15 12 10 16 17 15 14 8
    10 16 17 15 14 16 9

    ...view full instructions

    What is the frequency of 14 years old children?

    Solution

    Frequency of 14 years old children means the number of times the number 14 occurs in the given data.
    ∴ Required frequency = 2

     

  • Question 6
    1 / -0

    Directions For Questions

    The age of 15 children of an area is as follows:
    15 12 10 16 17 15 14 8
    10 16 17 15 14 16 9

    ...view full instructions

    How many chidren are of highest age?

    Solution

    The oldest children are of age 17 years, and number 17 occurs only twice in the given data. Therefore, frequency of the oldest children is 2.

     

  • Question 7
    1 / -0

    Directions For Questions

    The age of 15 children of an area is as follows:
    15 12 10 16 17 15 14 8
    10 16 17 15 14 16 9

    ...view full instructions

    How many children are of least age?

    Solution

    The youngest child is of age 8 years, and the number 8 occurs only once in the given data. Therefore, frequency of the youngest child is 1.

     

  • Question 8
    1 / -0

    Directions For Questions

    The age of 15 children of an area is as follows:
    15 12 10 16 17 15 14 8
    10 16 17 15 14 16 9

    ...view full instructions

    What is the range of age of these 15 children?

    Solution

    Range of age of 15 children = Highest age - lowest age = 17 - 8 = 9

     

  • Question 9
    1 / -0

    Directions For Questions

    The age of 15 children of an area is as follows:
    15 12 10 16 17 15 14 8
    10 16 17 15 14 16 9

    ...view full instructions

    What is the frequency of 16 years old children?

    Solution

    The frequency of 16 years old children is 3 as the number 16 occurs thrice in the given data.

     

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