ICSE Board Practice

ICSE Grade X - Graphical Representation of Statistical Data
Question 1
1.
Identify the class interval table for the given histogram.
  • Class-Interval
    103 - 105
    106 - 108
    109 - 111
    112 - 114
    115 - 117
    118 - 120
    121 - 123
    Frequency
    115
    35
    139
    124
    64
    26
    75
  • Class-Interval
    103 - 105
    106 - 108
    109 - 111
    112 - 114
    115 - 117
    118 - 120
    121 - 123
    Frequency
    115
    35
    137
    124
    64
    26
    75
  • Class-Interval
    103 - 105
    106 - 108
    109 - 111
    112 - 114
    115 - 117
    118 - 120
    121 - 123
    Frequency
    115
    75
    137
    124
    64
    26
    35
  • Class-Interval
    103 - 105
    106 - 108
    109 - 111
    112 - 114
    115 - 117
    118 - 120
    121 - 123
    Frequency
    115
    137
    35
    124
    64
    26
    75
  • Class-Interval
    103 - 105
    106 - 108
    109 - 111
    112 - 114
    115 - 117
    118 - 120
    121 - 123
    Frequency
    115
    35
    137
    126
    64
    26
    75
Question 2
2.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      16 - 26
      27 - 37
      38 - 48
      49 - 59
      60 - 70
      Frequency
      24
      20
      26
      17
      7
  • 94
  • 95
  • 93
  • 97
  • 92
Question 3
3.
    • Given below is the cost of living index for a particular year in a city. Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • Cost of living index (in rupees)
    192 - 202
    203 - 213
    214 - 224
    225 - 235
    236 - 246
    247 - 257
    No. of weeks
    7
    8
    8
    10
    6
    10
  • Cost of living index (in rupees)
    192 - 202
    203 - 213
    214 - 224
    225 - 235
    236 - 246
    247 - 257
    No. of weeks
    7
    10
    8
    5
    6
    8
  • Cost of living index (in rupees)
    192 - 202
    203 - 213
    214 - 224
    225 - 235
    236 - 246
    247 - 257
    No. of weeks
    7
    8
    4
    5
    6
    10
  • Cost of living index (in rupees)
    192 - 202
    203 - 213
    214 - 224
    225 - 235
    236 - 246
    247 - 257
    No. of weeks
    7
    8
    8
    5
    6
    10
Question 4
4.
Identify the class interval table for the given histogram.
  • Weight (in kg)
    31 - 34
    34 - 37
    37 - 40
    40 - 43
    43 - 46
    46 - 49
    No. of students
    21
    13
    11
    26
    27
    13
  • Weight (in kg)
    31 - 34
    34 - 37
    37 - 40
    40 - 43
    43 - 46
    46 - 49
    No. of students
    21
    13
    11
    28
    27
    13
  • Weight (in kg)
    31 - 34
    34 - 37
    37 - 40
    40 - 43
    43 - 46
    46 - 49
    No. of students
    21
    13
    14
    28
    27
    13
  • Weight (in kg)
    31 - 34
    34 - 37
    37 - 40
    40 - 43
    43 - 46
    46 - 49
    No. of students
    21
    11
    13
    28
    27
    13
Question 5
5.
    • Rainfall of 182 days (in mm) are given below.
    • Identify the class interval table for the given histogram.
  • Rainfall (in mm)
    8 - 13
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    No. of days
    33
    12
    24
    39
    45
    29
  • Rainfall (in mm)
    8 - 13
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    No. of days
    33
    29
    24
    39
    45
    12
  • Rainfall (in mm)
    8 - 13
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    No. of days
    33
    12
    22
    39
    45
    29
  • Rainfall (in mm)
    8 - 13
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    No. of days
    33
    24
    12
    39
    45
    29
  • Rainfall (in mm)
    8 - 13
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    No. of days
    33
    12
    24
    44
    45
    29
Question 6
6.
The production yield in kg per hectare of wheat of 38 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 78
    less than 86
    less than 94
    less than 102
    less than 110
    Number of farms
    8
    14
    23
    29
    38
  • Production yield (in kg/ha)
    less than 78
    less than 86
    less than 94
    less than 102
    less than 110
    Number of farms
    8
    12
    21
    27
    36
  • Production yield (in kg/ha)
    less than 78
    less than 86
    less than 94
    less than 102
    less than 110
    Number of farms
    8
    14
    28
    34
    43
  • Production yield (in kg/ha)
    less than 78
    less than 86
    less than 94
    less than 102
    less than 110
    Number of farms
    8
    17
    26
    32
    38
  • Production yield (in kg/ha)
    less than 78
    less than 86
    less than 94
    less than 102
    less than 110
    Number of farms
    8
    17
    23
    29
    38
Question 7
7.
Greater than cumulative curves are drawn using
  • lower boundaries of classes and greater than cumulative frequencies
  • upper boundaries of classes and less than cumulative frequencies
  • upper boundaries of classes and greater than cumulative frequencies
  • mid values of classes and greater than cumulative frequencies
Question 8
8.
    • Heights of 248 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • Height (in cm)
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    127 - 137
    No. of plants
    22
    20
    22
    44
    17
    50
    27
    46
  • Height (in cm)
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    127 - 137
    No. of plants
    22
    20
    26
    44
    17
    50
    27
    46
  • Height (in cm)
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    127 - 137
    No. of plants
    22
    20
    44
    22
    17
    50
    27
    46
  • Height (in cm)
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    127 - 137
    No. of plants
    22
    46
    22
    44
    17
    50
    27
    20
  • Height (in cm)
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    127 - 137
    No. of plants
    22
    20
    22
    44
    22
    50
    27
    46
Question 9
9.
    • The mid value of the class with frequency x is
    • Class-Interval
      Frequency
      10 - 20
      12
      21 - 31
      x
      32 - 42
      17
      43 - 53
      7
      54 - 64
      14
  • 29
  • 27
  • 26
  • 23
  • 25
Question 10
10.
Scores of 250 students are given below. Identify the class mark table for the given histogram.
  • Score
    40
    47
    54
    61
    68
    75
    82
    89
    No. of students
    35
    10
    25
    42
    10
    47
    31
    50
  • Score
    40
    47
    54
    61
    68
    75
    82
    89
    No. of students
    35
    50
    25
    42
    10
    47
    31
    10
  • Score
    40
    47
    54
    61
    68
    75
    82
    89
    No. of students
    35
    10
    25
    42
    14
    47
    31
    50
  • Score
    40
    47
    54
    61
    68
    75
    82
    89
    No. of students
    35
    10
    42
    25
    10
    47
    31
    50
  • Score
    40
    47
    54
    61
    68
    75
    82
    89
    No. of students
    35
    10
    20
    42
    10
    47
    31
    50