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Statistics Test - 11

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Statistics Test - 11
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  • Question 1
    1 / -0

    The percentage of marks obtained by 100 students in an examination are as follows:

    Marks 30-35 35-40 40-45 45-50 50-55 55-60 60-65
    Frequency 10 15 18 22 23 8 4

    The median class is

    Solution
    Marks 30-35 35-40 40-45 45-50 50-55 55-60 60-65
    Frequency 10 15 18 22 23 8 4
    Cumulative Frequency 10 25 43 65 88 96 100

    Here N = 100
    ⇒ N/2 = 50
    therefore, median class is 45 – 50.

  • Question 2
    1 / -0

    The percentage of marks obtained by 100 students in an examination are as follows:

    Marks 130-135 135-140 140-145 145-150 150-155 155-160 160-165
    Frequency 10 15 18 22 23 8 4

    The cumulative frequency of the class interval 150 – 155 is

    Solution
    Marks 130-135 135-140 140-145 145-150 150-155 155-160 160-165
    Frequency 10 15 18 22 23 8 4
    Cumulative Frequency 10 25 43 65 88 96 100

    Therefore, cumulative frequency of the class interval 150 – 155 is 88.

  • Question 3
    1 / -0

    Construction of cumulative frequency table is useful to determine

    Solution

    A cumulative frequency distribution is the sum of the class and all classes below it in a frequency distribution. Construction of cumulative frequency table is useful to determine Median.

  • Question 4
    1 / -0

    For the following distribution

    Class 60 – 70 70 – 80 80 – 90 90 – 100 100 – 110
    Frequency 10 15 12 20 9

    the sum of lower limits of the median class and modal class is

    Solution
    Class 60 – 70 70 – 80 80 – 90 90 – 100 100 – 110
    Frequency 10 15 12 20 9
    Cumulative Frequency 10 25 37 57 66

    Here N = 66
    ⇒ N/2 = 33 ∴ The median class is 80 – 90 and Modal class is 90 – 100
    Sum of lower limits of Median class and Modal class = 80 + 90 = 170

  • 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 upper limit of the median class is

    Solution
    Class 60-70 70-80 80-90 90-100 100-110
    Frequency 13 10 15 8 11
    Cumulative Frequency 13 23 38 46 57

    Here N = 57
    ⇒ N/2 = 28.5
    ∴ Median class is 80 – 90
    The upper limit of the median class is 90.

  • Question 6
    1 / -0

    Consider the data

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

    The difference of the upper limit of the median class and the lower limit of the modal class 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

    Here N = 75
    ⇒ N/2 = 37.5
    ∴∴ The median class is 125 – 145 and Modal class is 125 – 145
    The difference of upper limits of Median class and lower limit of Modal class = 145 – 125 = 20

  • Question 7
    1 / -0

    The middle most value of the data is

    Solution

    The median of a set  of data values is the middle most value when the data has been arranged in ascending order i.e. from smallest value to the largest value.

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