ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Graphical Representation of Statistical Data
Question 1
1.
Greater than cumulative curves are drawn using
  • upper boundaries of classes and greater than cumulative frequencies
  • mid values 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
Question 2
2.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      35 - 41
      27
      42 - 48
      15
      49 - 55
      x
      56 - 62
      5
      63 - 69
      13
  • 48
    -
    56
  • 48.5
    -
    55.5
  • 48.5
    -
    56
  • 48
    -
    55.5
  • 49
    -
    55
Question 3
3.
    • Heights of 140 plants (in cm) are given below.
    • Identify the class interval table for the given histogram.
  • Height (in cm)
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    109 - 119
    No. of plants
    23
    34
    43
    33
    7
  • Height (in cm)
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    109 - 119
    No. of plants
    23
    43
    34
    33
    7
  • Height (in cm)
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    109 - 119
    No. of plants
    23
    32
    43
    33
    7
  • Height (in cm)
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    109 - 119
    No. of plants
    23
    7
    43
    33
    34
  • Height (in cm)
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    109 - 119
    No. of plants
    23
    34
    45
    33
    7
Question 4
4.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      11 - 16
      8
      17 - 22
      15
      23 - 28
      x
      29 - 34
      20
      35 - 40
      10
  • 22
    -
    29
  • 22.5
    -
    28.5
  • 22
    -
    28.5
  • 23
    -
    28
  • 22.5
    -
    29
Question 5
5.
Scores of 119 students are given below. Identify the class mark table for the given histogram.
  • Score
    51.5
    58.5
    65.5
    72.5
    79.5
    86.5
    No. of students
    26
    22
    18
    24
    5
    24
  • Score
    51.5
    58.5
    65.5
    72.5
    79.5
    86.5
    No. of students
    26
    18
    24
    24
    5
    22
  • Score
    51.5
    58.5
    65.5
    72.5
    79.5
    86.5
    No. of students
    26
    24
    15
    24
    5
    22
  • Score
    51.5
    58.5
    65.5
    72.5
    79.5
    86.5
    No. of students
    26
    24
    18
    20
    5
    22
  • Score
    51.5
    58.5
    65.5
    72.5
    79.5
    86.5
    No. of students
    26
    24
    18
    24
    5
    22
Question 6
6.
    • Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
    • Wages (in rupees)
      200 - 220
      221 - 241
      242 - 262
      263 - 283
      284 - 304
      305 - 325
      Labourers
      2
      7
      12
      16
      10
      1
  • Wages (in rupees)
    Cumulative Frequency
    200 - 220
    2
    221 - 241
    9
    242 - 262
    18
    263 - 283
    34
    284 - 304
    44
    305 - 325
    45
  • Wages (in rupees)
    Cumulative Frequency
    200 - 220
    2
    221 - 241
    9
    242 - 262
    21
    263 - 283
    32
    284 - 304
    42
    305 - 325
    43
  • Wages (in rupees)
    Cumulative Frequency
    200 - 220
    2
    221 - 241
    3
    242 - 262
    15
    263 - 283
    31
    284 - 304
    41
    305 - 325
    48
  • Wages (in rupees)
    Cumulative Frequency
    200 - 220
    2
    221 - 241
    14
    242 - 262
    21
    263 - 283
    37
    284 - 304
    47
    305 - 325
    48
  • Wages (in rupees)
    Cumulative Frequency
    200 - 220
    2
    221 - 241
    9
    242 - 262
    21
    263 - 283
    37
    284 - 304
    47
    305 - 325
    48
Question 7
7.
If the length of the class is 5, then the number of class intervals needed to represent data with range 30 is
  • 7
  • 6
  • 9
  • 3
  • 5
Question 8
8.
    • Heights of 196 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • Height (in cm)
    121 - 130
    131 - 140
    141 - 150
    151 - 160
    161 - 170
    171 - 180
    181 - 190
    No. of students
    24
    15
    20
    44
    45
    6
    40
  • Height (in cm)
    121 - 130
    131 - 140
    141 - 150
    151 - 160
    161 - 170
    171 - 180
    181 - 190
    No. of students
    24
    15
    22
    49
    45
    6
    40
  • Height (in cm)
    121 - 130
    131 - 140
    141 - 150
    151 - 160
    161 - 170
    171 - 180
    181 - 190
    No. of students
    24
    40
    22
    44
    45
    6
    15
  • Height (in cm)
    121 - 130
    131 - 140
    141 - 150
    151 - 160
    161 - 170
    171 - 180
    181 - 190
    No. of students
    24
    22
    15
    44
    45
    6
    40
  • Height (in cm)
    121 - 130
    131 - 140
    141 - 150
    151 - 160
    161 - 170
    171 - 180
    181 - 190
    No. of students
    24
    15
    22
    44
    45
    6
    40
Question 9
9.
The production yield in kg per hectare of wheat of 49 farms of a village is given below. Identify the frequency distribution table for the given less than ogive.
  • Production yield (in kg/ha)
    less than 68
    less than 76
    less than 84
    less than 92
    less than 100
    less than 108
    Number of farms
    6
    16
    22
    30
    40
    49
  • Production yield (in kg/ha)
    less than 68
    less than 76
    less than 84
    less than 92
    less than 100
    less than 108
    Number of farms
    6
    16
    25
    33
    43
    52
  • Production yield (in kg/ha)
    less than 68
    less than 76
    less than 84
    less than 92
    less than 100
    less than 108
    Number of farms
    6
    16
    22
    33
    43
    52
  • Production yield (in kg/ha)
    less than 68
    less than 76
    less than 84
    less than 92
    less than 100
    less than 108
    Number of farms
    6
    15
    21
    29
    39
    49
  • Production yield (in kg/ha)
    less than 68
    less than 76
    less than 84
    less than 92
    less than 100
    less than 108
    Number of farms
    6
    12
    22
    30
    40
    49
Question 10
10.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    Frequency
    5
    18
    12
    2
    20
    19
    20
    2
  • Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    Frequency
    19
    4
    15
    3
    17
    8
    3
    6
  • Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    Frequency
    5
    8
    3
    18
    17
    4
    18
    13
  • Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    Frequency
    9
    12
    7
    6
    6
    12
    4
    12
  • Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    Frequency
    14
    19
    15
    18
    11
    14
    1
    20