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Statistics Test...

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  • Question 1
    1 / -0

    100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

    No. of letters
    No. of surnames
    1-4
    6
    4-7
    30
    7-10
    40
    10-13
    16
    13-16
    4
    16-19
    4
    Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames

  • Question 2
    1 / -0

    The following data gives the information on the observed lifetimes (in hours) of 225225 electrical components:

    Lifetimes (in hours)
    0-20
    20-40
    40-60
    60-80
    80-100
    100-120
    Frequency
    10
    35
    52
    61
    38
    29
    Determine the modal lifetimes of the components.

  • Question 3
    1 / -0

    A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data.

    No. of cars
    Frequency
    0-10
    7
    10-20
    14
    20-30
    13
    30-40
    12
    40-50
    20
    50-60
    11
    60-70
    15
    70-80
    8

  • Question 4
    1 / -0

    A life insurance agent found the following data for distribution of ages of 100100 policy holders. Calculate the median age, if policies are only given to person having age 1818 years onwards but less than 6060 years.

    Age (in years)
    No. of policy holders
    Below 2020
    22
    Below 2525
    66
    Below 3030
    2424
    Below 3535
    4545
    Below 4040
    7878
    Below 4545
    8989
    Below 5050
    9292
    Below 5555
    9898
    Below 6060
    100100

  • Question 5
    1 / -0

    If the median of the distribution given below is 28.528.5. Find the values of xx and yy.

    Class interval
    Frequency
    Cumulative frequency
    0-10
    5
    5
    10-2
    x
    5+x
    20-30
    20
    25+x
    30-40
    15
    40+x
    40-50
    y
    40+x+y
    50-60
    5
    45+x+y
    Total
    60

  • Question 6
    1 / -0

    Length (in mm)
    No. of leaves
    118-126
    3
    127-135
    5
    136-144
    9
    145-153
    12
    154-162
    5
    163-171
    4
    172-180
    2
    The length of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table. Find the median length of the leaves

  • Question 7
    1 / -0

    The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

    Weight (in kg)
    No. of students
    40-45
    2
    45-50
    3
    50-55
    8
    55-60
    6
    60-65
    6
    65-70
    3
    70-75
    2

  • Question 8
    1 / -0

    If the mode of a distribution is 1818  and the mean is 24 24, then median is

  • Question 9
    1 / -0

    The ages of 4040 students in a class are given. Find the mean age of the class

  • Question 10
    1 / -0

    The following table shows the marks obtained by 100 students of class x in a school during a particular academic session. Find the mode of this distribution.

    Marks
    No. of students
    Less than 10
    7
    Less than 20
    21
    Less than 30
    34
    Less than 40
    46
    Less than 50
    66
    Less than 60
    77
    Less than 70
    92
    Less than 80
    100

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