CBSE Board Practice

CBSE Grade X - Statistics
Question 1
1.
Greater than cumulative curves are drawn using
  • upper boundaries of classes and greater than cumulative frequencies
  • upper boundaries of classes and less than cumulative frequencies
  • lower boundaries of classes and greater than cumulative frequencies
  • mid values of classes and greater than cumulative frequencies
Question 2
2.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      16 - 22
      26
      23 - 29
      1
      30 - 36
      x
      37 - 43
      16
      44 - 50
      3
  • 29
    -
    37
  • 29.5
    -
    36.5
  • 29.5
    -
    37
  • 29
    -
    36.5
  • 30
    -
    36
Question 3
3.
    • The class boundaries of 45 - 50 which is in inclusive form are
  • 45
    -
    50
  • 44.5
    -
    50.5
  • 44.5
    -
    51
  • 44
    -
    50.5
  • 44
    -
    51
Question 4
4.
    • The following table shows the weights of
    • 99
    • persons in a group.
    • Find the
    • mode weight.
    • Weight (in kg)
      10 - 20
      21 - 31
      32 - 42
      43 - 53
      54 - 64
      65 - 75
      No. of persons
      15
      15
      17
      16
      19
      17
  • 611

    10
    kg
  • 301

    5
    kg
  • 601

    10
    kg
  • 603

    10
    kg
  • 621

    10
    kg
Question 5
5.
Find the Mode when Median is 72.8 and Mean is 71.3.
  • 73.8
  • 74.8
  • 75.8
  • 76.8
  • 77.8
Question 6
6.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Class-Interval
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    40 - 45
    46 - 51
    52 - 57
    Frequency
    14
    3
    2
    13
    20
    11
    9
    11
  • Class-Interval
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    40 - 45
    46 - 51
    52 - 57
    Frequency
    6
    6
    7
    4
    19
    2
    11
    19
  • Class-Interval
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    40 - 45
    46 - 51
    52 - 57
    Frequency
    16
    20
    20
    10
    18
    9
    6
    5
  • Class-Interval
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    40 - 45
    46 - 51
    52 - 57
    Frequency
    13
    4
    19
    19
    19
    20
    1
    6
  • Class-Interval
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    40 - 45
    46 - 51
    52 - 57
    Frequency
    12
    5
    6
    10
    7
    8
    12
    5
Question 7
7.
Which of the following are true?
a)
The difference between the true upper limit and true lower limit is called the class mark.
b)
The number of times a particular observation occurs is called its frequency.
c)
The true lower limit of the exclusive form class interval 40 - 50 is 40.
d)
The true lower limit of the inclusive form class interval 40 - 50 is 40.
e)
Each numerical figure in a data set is called an observation.
  • {b,c,e}
  • {a,b}
  • {a,d,e}
  • {d,c}
  • {a,b,c}
Question 8
8.
Which of the following are continuous variables?
a)
Weights of persons in a group.
b)
Number of members in a family.
c)
Number of workers in a factory.
d)
Heights of children in a class.
e)
Wages of workers in a factory.
  • {b,a,d}
  • {c,d}
  • {b,a}
  • {a,d,e}
  • {b,c,e}
Question 9
9.
    • The marks obtained by 38 students of a class in an examination is given below. Calculate the mean mark correct to 2 decimal places.
    • Marks
      less than 25
      less than 35
      less than 45
      less than 55
      less than 65
      less than 75
      No. of students
      5
      10
      16
      24
      32
      38
  • 47.11
  • 44.11
  • 42.11
  • 52.11
  • 50.11
Question 10
10.
    • The following frequency distribution table gives
    • the monthly consumption of electricity of
    • 109
    • consumers in a locality.
    • Find the
    • mean units.
    • Monthly consumption (in units)
      63 - 73
      73 - 83
      83 - 93
      93 - 103
      103 - 113
      113 - 123
      123 - 133
      No. of consumers
      18
      21
      21
      5
      7
      25
      12
  • 10660

    109
    units
  • 10551

    109
    units
  • 10442

    109
    units
  • 10444

    109
    units
  • 10443

    109
    units