ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Graphical Representation of Statistical Data
Question 1
1.
Less than cumulative curves are drawn using
  • lower boundaries of classes and less than cumulative frequencies
  • mid values of classes and less than cumulative frequencies
  • upper boundaries of classes and less than cumulative frequencies
  • lower boundaries of classes and greater than cumulative frequencies
Question 2
2.
    • Heights of 163 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • Height (in cm)
    127 - 135
    136 - 144
    145 - 153
    154 - 162
    163 - 171
    No. of students
    8
    17
    50
    49
    41
  • Height (in cm)
    127 - 135
    136 - 144
    145 - 153
    154 - 162
    163 - 171
    No. of students
    8
    41
    50
    49
    15
  • Height (in cm)
    127 - 135
    136 - 144
    145 - 153
    154 - 162
    163 - 171
    No. of students
    8
    50
    15
    49
    41
  • Height (in cm)
    127 - 135
    136 - 144
    145 - 153
    154 - 162
    163 - 171
    No. of students
    8
    15
    50
    49
    41
  • Height (in cm)
    127 - 135
    136 - 144
    145 - 153
    154 - 162
    163 - 171
    No. of students
    8
    15
    55
    49
    41
Question 3
3.
    • Temperatures of 164 days (in °C) are given below.
    • Identify the class interval table for the given histogram.
  • Temperature (in degree)
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    56 - 61
    62 - 67
    No. of days
    26
    26
    22
    13
    46
    34
  • Temperature (in degree)
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    56 - 61
    62 - 67
    No. of days
    26
    26
    20
    10
    46
    34
  • Temperature (in degree)
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    56 - 61
    62 - 67
    No. of days
    26
    26
    22
    10
    46
    34
  • Temperature (in degree)
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    56 - 61
    62 - 67
    No. of days
    26
    22
    26
    10
    46
    34
  • Temperature (in degree)
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    56 - 61
    62 - 67
    No. of days
    26
    34
    22
    10
    46
    26
Question 4
4.
Temperatures of 146 days (in °C) are given below. Identify the class mark table for the given histogram.
  • Temperature (in degree)
    39
    49
    59
    69
    79
    89
    99
    No. of days
    14
    18
    13
    19
    8
    41
    31
  • Temperature (in degree)
    39
    49
    59
    69
    79
    89
    99
    No. of days
    14
    18
    13
    21
    8
    41
    31
  • Temperature (in degree)
    39
    49
    59
    69
    79
    89
    99
    No. of days
    14
    31
    13
    21
    8
    41
    18
  • Temperature (in degree)
    39
    49
    59
    69
    79
    89
    99
    No. of days
    14
    13
    18
    21
    8
    41
    31
  • Temperature (in degree)
    39
    49
    59
    69
    79
    89
    99
    No. of days
    14
    18
    9
    21
    8
    41
    31
Question 5
5.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      33 - 41
      17
      42 - 50
      x
      51 - 59
      7
      60 - 68
      22
      69 - 77
      20
  • 41
    -
    50.5
  • 42
    -
    50
  • 41.5
    -
    50.5
  • 41.5
    -
    51
  • 41
    -
    51
Question 6
6.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    Frequency
    1
    8
    13
    9
    17
    3
    13
    12
  • Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    Frequency
    6
    4
    11
    6
    10
    8
    11
    10
  • Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    Frequency
    6
    18
    16
    19
    9
    15
    5
    12
  • Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    Frequency
    13
    2
    9
    8
    7
    2
    4
    17
  • Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    Frequency
    6
    11
    16
    3
    19
    14
    10
    11
Question 7
7.
    • Identify the class interval table for the given frequency polygon.
  • Class-Interval
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    75 - 81
    Frequency
    50
    43
    17
    44
    45
    21
    25
  • Class-Interval
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    75 - 81
    Frequency
    50
    25
    17
    47
    45
    21
    43
  • Class-Interval
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    75 - 81
    Frequency
    50
    43
    15
    47
    45
    21
    25
  • Class-Interval
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    75 - 81
    Frequency
    50
    43
    17
    47
    45
    21
    25
  • Class-Interval
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    75 - 81
    Frequency
    50
    17
    43
    47
    45
    21
    25
Question 8
8.
    • Heights of 230 plants (in cm) are given below.
    • Identify the class interval table for the given histogram.
  • Height (in cm)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of plants
    35
    21
    41
    49
    21
    37
    26
  • Height (in cm)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of plants
    35
    21
    41
    54
    21
    37
    26
  • Height (in cm)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of plants
    35
    41
    21
    49
    21
    37
    26
  • Height (in cm)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of plants
    35
    21
    37
    49
    21
    37
    26
  • Height (in cm)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of plants
    35
    26
    41
    49
    21
    37
    21
Question 9
9.
    • Given table in inclusive form, convert it into exclusive form.
    • Class-Interval
      12 - 22
      23 - 33
      34 - 44
      45 - 55
      56 - 66
      67 - 77
      Frequency
      27
      11
      15
      39
      47
      16
  • Class-Interval
    11.5 - 22.5
    22.5 - 33.5
    33.5 - 44.5
    44.5 - 55.5
    55.5 - 66.5
    66.5 - 77.5
    Frequency
    27
    11
    15
    39
    47
    16
  • Class-Interval
    11.5 - 21.5
    22.5 - 32.5
    33.5 - 43.5
    44.5 - 54.5
    55.5 - 65.5
    66.5 - 76.5
    Frequency
    27
    11
    15
    39
    47
    16
  • Class-Interval
    11.5 - 22
    22.5 - 33
    33.5 - 44
    44.5 - 55
    55.5 - 66
    66.5 - 77
    Frequency
    27
    11
    15
    39
    47
    16
  • Class-Interval
    12.5 - 22.5
    23.5 - 33.5
    34.5 - 44.5
    45.5 - 55.5
    56.5 - 66.5
    67.5 - 77.5
    Frequency
    27
    11
    15
    39
    47
    16
  • Class-Interval
    12 - 22
    22 - 32
    32 - 42
    42 - 52
    52 - 62
    62 - 72
    Frequency
    32
    15
    12
    28
    27
    29
Question 10
10.
    • The class boundaries of 27 - 35 which is in inclusive form are
  • 27
    -
    35
  • 26.5
    -
    35.5
  • 26
    -
    36
  • 26.5
    -
    36
  • 26
    -
    35.5