CBSE Board Practice

CBSE Grade X - Statistics
Question 1
1.
    • If the mean of the following frequency distribution is
    • 7
      11

      18
    • ,
    • find the value of 'x'.
    • Value
      Frequency
      5
      5
      6
      x
      7
      6
      8
      5
      9
      5
      10
      8
  • 10
  • 5
  • 7
  • 6
  • 8
Question 2
2.
    • Scores of 11 students are given below. Find the mode.
    • Score
      72
      75
      80
      81
      82
      87
      88
      No. of students
      1
      1
      3
      2
      2
      1
      1
  • 78
  • 82
  • 79
  • 81
  • 80
Question 3
3.
    • During the medical check-up of 43 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 62 kg
    • Class-Interval
      30 - 38
      38 - 46
      46 - 54
      54 - 62
      62 - 70
      70 - 78
      Frequency
      5
      9
      7
      10
      6
      6
  • 30
  • 31
  • 29
  • 34
  • 32
Question 4
4.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      16 - 22
      19
      23 - 29
      21
      30 - 36
      10
      37 - 43
      23
      44 - 50
      x
  • 44
    -
    50
  • 43
    -
    50.5
  • 43.5
    -
    51
  • 43
    -
    51
  • 43.5
    -
    50.5
Question 5
5.
    • Given class interval
    • 14
    • -
    • 18
    • in exclusive form, its
    • mid value is
  • 15
  • 13
  • 17
  • 16
  • 19
Question 6
6.
    • The class mark of the class with frequency x is
    • Class-Interval
      Frequency
      16 - 21
      5
      21 - 26
      x
      26 - 31
      1
      31 - 36
      13
      36 - 41
      22
  • 49

    2
  • 93

    4
  • 47

    2
  • 24
  • 45

    2
Question 7
7.
    • Identify the class interval table for the given greater than cumulative frequency table
    • Class-Interval
      Cumulative Frequency
      11 - 19
      55
      19 - 27
      40
      27 - 35
      35
      35 - 43
      23
      43 - 51
      13
      51 - 59
      6
  • Class-Interval
    11 - 19
    19 - 27
    27 - 35
    35 - 43
    43 - 51
    51 - 59
    Frequency
    15
    12
    5
    10
    7
    6
  • Class-Interval
    11 - 19
    19 - 27
    27 - 35
    35 - 43
    43 - 51
    51 - 59
    Frequency
    15
    6
    12
    10
    7
    5
  • Class-Interval
    11 - 19
    19 - 27
    27 - 35
    35 - 43
    43 - 51
    51 - 59
    Frequency
    15
    5
    12
    8
    7
    6
  • Class-Interval
    11 - 19
    19 - 27
    27 - 35
    35 - 43
    43 - 51
    51 - 59
    Frequency
    15
    5
    12
    10
    7
    6
  • Class-Interval
    11 - 19
    19 - 27
    27 - 35
    35 - 43
    43 - 51
    51 - 59
    Frequency
    15
    5
    7
    10
    7
    6
Question 8
8.
    • Weights of 118 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Weight (in kg)
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    80 - 86
    86 - 92
    92 - 98
    98 - 104
    No. of students
    11
    15
    19
    15
    7
    15
    19
    17
  • Weight (in kg)
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    80 - 86
    86 - 92
    92 - 98
    98 - 104
    No. of students
    11
    15
    19
    15
    12
    15
    19
    17
  • Weight (in kg)
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    80 - 86
    86 - 92
    92 - 98
    98 - 104
    No. of students
    11
    17
    19
    15
    7
    15
    19
    15
  • Weight (in kg)
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    80 - 86
    86 - 92
    92 - 98
    98 - 104
    No. of students
    11
    15
    15
    19
    7
    15
    19
    17
  • Weight (in kg)
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    80 - 86
    86 - 92
    92 - 98
    98 - 104
    No. of students
    11
    15
    22
    15
    7
    15
    19
    17
Question 9
9.
    • Scores of 55 students are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Score
    71 - 78
    78 - 85
    85 - 92
    92 - 99
    99 - 106
    106 - 113
    No. of students
    9
    5
    13
    6
    13
    12
  • Score
    71 - 78
    78 - 85
    85 - 92
    92 - 99
    99 - 106
    106 - 113
    No. of students
    9
    5
    10
    11
    13
    12
  • Score
    71 - 78
    78 - 85
    85 - 92
    92 - 99
    99 - 106
    106 - 113
    No. of students
    9
    12
    10
    6
    13
    5
  • Score
    71 - 78
    78 - 85
    85 - 92
    92 - 99
    99 - 106
    106 - 113
    No. of students
    9
    10
    5
    6
    13
    12
  • Score
    71 - 78
    78 - 85
    85 - 92
    92 - 99
    99 - 106
    106 - 113
    No. of students
    9
    5
    10
    6
    13
    12
Question 10
10.
    • Ages of 108 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Age (in years)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of students
    10
    12
    9
    12
    14
    18
    19
    9
  • Age (in years)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of students
    10
    9
    9
    12
    19
    18
    19
    12
  • Age (in years)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of students
    10
    12
    9
    12
    19
    18
    19
    9
  • Age (in years)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of students
    10
    12
    13
    12
    19
    18
    19
    9
  • Age (in years)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of students
    10
    12
    12
    9
    19
    18
    19
    9