ICSE Board Practice

ICSE Grade X - Graphical Representation of Statistical Data
Question 1
1.
Temperatures of 165 days (in °C) are given below. Identify the class mark table for the given histogram.
  • Temperature (in degree)
    30.5
    35.5
    40.5
    45.5
    50.5
    55.5
    60.5
    No. of days
    36
    8
    9
    39
    19
    23
    34
  • Temperature (in degree)
    30.5
    35.5
    40.5
    45.5
    50.5
    55.5
    60.5
    No. of days
    36
    8
    14
    36
    19
    23
    34
  • Temperature (in degree)
    30.5
    35.5
    40.5
    45.5
    50.5
    55.5
    60.5
    No. of days
    36
    34
    9
    36
    19
    23
    8
  • Temperature (in degree)
    30.5
    35.5
    40.5
    45.5
    50.5
    55.5
    60.5
    No. of days
    36
    9
    8
    36
    19
    23
    34
  • Temperature (in degree)
    30.5
    35.5
    40.5
    45.5
    50.5
    55.5
    60.5
    No. of days
    36
    8
    9
    36
    19
    23
    34
Question 2
2.
    • Daily wages of 70 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Daily wage (in Rs)
    231 - 240
    241 - 250
    251 - 260
    261 - 270
    271 - 280
    No. of labourers
    19
    17
    15
    6
    13
  • Daily wage (in Rs)
    231 - 240
    241 - 250
    251 - 260
    261 - 270
    271 - 280
    No. of labourers
    19
    13
    15
    6
    13
  • Daily wage (in Rs)
    231 - 240
    241 - 250
    251 - 260
    261 - 270
    271 - 280
    No. of labourers
    19
    13
    15
    6
    17
  • Daily wage (in Rs)
    231 - 240
    241 - 250
    251 - 260
    261 - 270
    271 - 280
    No. of labourers
    19
    17
    11
    6
    13
  • Daily wage (in Rs)
    231 - 240
    241 - 250
    251 - 260
    261 - 270
    271 - 280
    No. of labourers
    19
    15
    17
    6
    13
Question 3
3.
    • Scores of 163 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • Score
    89 - 96
    97 - 104
    105 - 112
    113 - 120
    121 - 128
    129 - 136
    137 - 144
    145 - 152
    No. of students
    20
    19
    10
    24
    39
    6
    16
    29
  • Score
    89 - 96
    97 - 104
    105 - 112
    113 - 120
    121 - 128
    129 - 136
    137 - 144
    145 - 152
    No. of students
    20
    29
    10
    24
    34
    6
    16
    19
  • Score
    89 - 96
    97 - 104
    105 - 112
    113 - 120
    121 - 128
    129 - 136
    137 - 144
    145 - 152
    No. of students
    20
    29
    8
    24
    39
    6
    16
    19
  • Score
    89 - 96
    97 - 104
    105 - 112
    113 - 120
    121 - 128
    129 - 136
    137 - 144
    145 - 152
    No. of students
    20
    29
    24
    10
    39
    6
    16
    19
  • Score
    89 - 96
    97 - 104
    105 - 112
    113 - 120
    121 - 128
    129 - 136
    137 - 144
    145 - 152
    No. of students
    20
    29
    10
    24
    39
    6
    16
    19
Question 4
4.
    • Rainfall of 113 days (in mm) are given below.
    • Identify the class interval table for the given histogram.
  • Rainfall (in mm)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    No. of days
    19
    12
    22
    22
    38
  • Rainfall (in mm)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    No. of days
    19
    22
    38
    22
    12
  • Rainfall (in mm)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    No. of days
    19
    33
    22
    22
    12
  • Rainfall (in mm)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    No. of days
    19
    38
    18
    22
    12
  • Rainfall (in mm)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    No. of days
    19
    38
    22
    22
    12
Question 5
5.
Identify the class interval table for the given histogram.
  • Class-Interval
    26 - 30
    30 - 34
    34 - 38
    38 - 42
    42 - 46
    46 - 50
    Frequency
    115
    117
    43
    125
    115
    72
  • Class-Interval
    26 - 30
    30 - 34
    34 - 38
    38 - 42
    42 - 46
    46 - 50
    Frequency
    115
    43
    117
    125
    115
    72
  • Class-Interval
    26 - 30
    30 - 34
    34 - 38
    38 - 42
    42 - 46
    46 - 50
    Frequency
    115
    43
    117
    121
    115
    72
  • Class-Interval
    26 - 30
    30 - 34
    34 - 38
    38 - 42
    42 - 46
    46 - 50
    Frequency
    115
    43
    121
    125
    115
    72
  • Class-Interval
    26 - 30
    30 - 34
    34 - 38
    38 - 42
    42 - 46
    46 - 50
    Frequency
    115
    72
    117
    125
    115
    43
Question 6
6.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
  • Age (in years)
    75 - 78
    79 - 82
    83 - 86
    87 - 90
    91 - 94
    95 - 98
    No. of Patients
    19
    13
    40
    48
    10
    12
  • Age (in years)
    75 - 78
    79 - 82
    83 - 86
    87 - 90
    91 - 94
    95 - 98
    No. of Patients
    19
    12
    13
    48
    10
    40
  • Age (in years)
    75 - 78
    79 - 82
    83 - 86
    87 - 90
    91 - 94
    95 - 98
    No. of Patients
    19
    40
    13
    50
    10
    12
  • Age (in years)
    75 - 78
    79 - 82
    83 - 86
    87 - 90
    91 - 94
    95 - 98
    No. of Patients
    19
    40
    10
    48
    10
    12
  • Age (in years)
    75 - 78
    79 - 82
    83 - 86
    87 - 90
    91 - 94
    95 - 98
    No. of Patients
    19
    40
    13
    48
    10
    12
Question 7
7.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      13 - 19
      x
      20 - 26
      28
      27 - 33
      27
      34 - 40
      12
      41 - 47
      6
  • 12.5
    -
    19.5
  • 12
    -
    20
  • 12
    -
    19.5
  • 13
    -
    19
  • 12.5
    -
    20
Question 8
8.
Less than cumulative curves are drawn using
  • lower boundaries of classes and greater than cumulative frequencies
  • upper boundaries of classes and less than cumulative frequencies
  • mid values of classes and less than cumulative frequencies
  • lower boundaries of classes and less than cumulative frequencies
Question 9
9.
    • Heights of 85 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Height (in cm)
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    77 - 83
    83 - 89
    89 - 95
    No. of plants
    10
    13
    13
    13
    15
    14
    11
  • Height (in cm)
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    77 - 83
    83 - 89
    89 - 95
    No. of plants
    10
    11
    9
    13
    15
    14
    13
  • Height (in cm)
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    77 - 83
    83 - 89
    89 - 95
    No. of plants
    10
    9
    13
    13
    15
    14
    11
  • Height (in cm)
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    77 - 83
    83 - 89
    89 - 95
    No. of plants
    10
    13
    9
    10
    15
    14
    11
  • Height (in cm)
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    77 - 83
    83 - 89
    89 - 95
    No. of plants
    10
    13
    9
    13
    15
    14
    11
Question 10
10.
    • Temperatures of 61 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    7
    14
    12
    7
    5
    19
  • Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    7
    14
    9
    7
    5
    19
  • Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    7
    9
    14
    7
    5
    19
  • Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    7
    14
    9
    11
    5
    19
  • Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    7
    19
    9
    7
    5
    14