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Statistics Test - 9

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Statistics Test - 9
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  • Question 1
    1 / -0

    The wickets taken by a bowler in 10 cricket matches are 2, 6, 4, 5, 0, 2, 1, 3, 2, 3. The mode of the data is

    Solution

    Given: 2, 6, 4, 5, 0, 2, 1, 3, 2, 3
    Here frequency of 2 is more.
    Therefore, the mode of given data is 2.

  • Question 2
    1 / -0

    The mode of 4, 5, 6, 8, 5, 4, 8, 5, 6, x, 8 is 8. The value of ‘x’ is

    Solution

    Here Observations 5 and 8 have the same frequency, i.e., 3.
    For 8 be the mode of the data, it should have the maximum frequency.
    ∴ 8 should repeat itself at least once more.
    ⇒ x should be 8.

  • Question 3
    1 / -0

    The wickets taken by a bowler in 10 cricket matches are 2, 6, 4, 5, 0, 3, 1, 3, 2, 3. The mode of the data is

    Solution

    In the given data, the frequency of 3 is more than those other wickets taken by a bowler.
    Therefore, Mode of given data is 3.

  • Question 4
    1 / -0

    The mode of 4, 5, 6, 8, 5, 4, 6, 5, 6, x, 8 is 6. The value of ‘x’ is

    Solution

    Here Observation is 6 has more frequency than that of other numbers.
    ∴ 6 could repeat itself at least once more.
    ⇒ x should be 6.

  • Question 5
    1 / -0

    For the following distribution :

    Class 60-70 70-80 80-90 90-100 100-110
    Frequency 13 10 15 8 11

    the lower limit of the modal class is

    Solution

    In the given data, Maximum frequency is 15.
    Therefore, the modal class is 80 – 90.
    Lower limit of the modal class is 80.

  • Question 6
    1 / -0

    For the following distribution

    Class Below 10 Below 20 Below 30 Below 40 Below 50 Below 60
    Frequency 3 12 27 57 75 80

    the modal class is

    Solution

    According to the question,

    Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
    Freq 3 9 15 30 18 5

    Here Maximum frequency is 30.
    Therefore, the modal class is 30 – 40.

  • Question 7
    1 / -0

    The times, in seconds, taken by 75 athletes to run a 500m race are tabulated as below:

    Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205
    Frequency 4 5 18 20 17 7 4

    The number of athletes who completed the race in less than 125 seconds is

    Solution
    Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205
    Frequency 4 5 18 20 17 7 4
    Cumulative Frequency 4 9 27 47 64 71 75

    Therefore, the number of athletes who completed the race in less than 125 seconds is 27.

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