ICSE Board Practice

ICSE Grade X - Graphical Representation of Statistical Data
Question 1
1.
    • Rainfall of 90 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    No. of days
    17
    12
    19
    9
    11
    10
    7
    5
  • Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    No. of days
    17
    12
    9
    19
    11
    10
    7
    5
  • Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    No. of days
    17
    12
    19
    9
    14
    10
    7
    5
  • Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    No. of days
    17
    12
    21
    9
    11
    10
    7
    5
  • Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    No. of days
    17
    5
    19
    9
    11
    10
    7
    12
Question 2
2.
    • Ages of 140 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • Age (in years)
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    No. of students
    29
    47
    18
    14
    32
  • Age (in years)
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    No. of students
    29
    18
    47
    14
    32
  • Age (in years)
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    No. of students
    29
    14
    47
    14
    32
  • Age (in years)
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    No. of students
    29
    18
    49
    14
    32
  • Age (in years)
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    No. of students
    29
    32
    47
    14
    18
Question 3
3.
    • Scores of 107 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • Score
    75 - 81
    81 - 87
    87 - 93
    93 - 99
    99 - 105
    No. of students
    45
    34
    9
    9
    10
  • Score
    75 - 81
    81 - 87
    87 - 93
    93 - 99
    99 - 105
    No. of students
    45
    10
    9
    9
    34
  • Score
    75 - 81
    81 - 87
    87 - 93
    93 - 99
    99 - 105
    No. of students
    45
    9
    10
    9
    34
  • Score
    75 - 81
    81 - 87
    87 - 93
    93 - 99
    99 - 105
    No. of students
    45
    13
    9
    9
    34
  • Score
    75 - 81
    81 - 87
    87 - 93
    93 - 99
    99 - 105
    No. of students
    45
    10
    11
    9
    34
Question 4
4.
    • Convert the continuous form of the class interval 43.5 - 50.5 to discontinuous form
  • 43.5
    -
    50
  • 44
    -
    50.5
  • 43.5
    -
    50.5
  • 44.5
    -
    49.5
  • 44
    -
    50
Question 5
5.
    • Heights of 155 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of plants
    21
    36
    41
    8
    34
    10
  • Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of plants
    21
    10
    41
    13
    34
    36
  • Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of plants
    21
    36
    44
    13
    34
    10
  • Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of plants
    21
    36
    41
    13
    34
    10
  • Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of plants
    21
    41
    36
    13
    34
    10
Question 6
6.
    • Heights of 198 students (in cm) are given below.
    • Identify the class interval table for the given histogram.
  • Height (in cm)
    126 - 133
    133 - 140
    140 - 147
    147 - 154
    154 - 161
    161 - 168
    168 - 175
    No. of students
    38
    25
    29
    30
    45
    10
    21
  • Height (in cm)
    126 - 133
    133 - 140
    140 - 147
    147 - 154
    154 - 161
    161 - 168
    168 - 175
    No. of students
    38
    29
    21
    30
    45
    10
    25
  • Height (in cm)
    126 - 133
    133 - 140
    140 - 147
    147 - 154
    154 - 161
    161 - 168
    168 - 175
    No. of students
    38
    21
    29
    30
    45
    10
    25
  • Height (in cm)
    126 - 133
    133 - 140
    140 - 147
    147 - 154
    154 - 161
    161 - 168
    168 - 175
    No. of students
    38
    21
    26
    30
    45
    10
    25
  • Height (in cm)
    126 - 133
    133 - 140
    140 - 147
    147 - 154
    154 - 161
    161 - 168
    168 - 175
    No. of students
    38
    21
    29
    35
    45
    10
    25
Question 7
7.
The production yield in kg per hectare of wheat of 30 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 65
    less than 70
    less than 75
    less than 80
    Number of farms
    9
    21
    29
    34
  • Production yield (in kg/ha)
    less than 65
    less than 70
    less than 75
    less than 80
    Number of farms
    9
    17
    30
    35
  • Production yield (in kg/ha)
    less than 65
    less than 70
    less than 75
    less than 80
    Number of farms
    9
    17
    25
    30
  • Production yield (in kg/ha)
    less than 65
    less than 70
    less than 75
    less than 80
    Number of farms
    5
    13
    21
    30
Question 8
8.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • Class-Interval
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    63 - 69
    Frequency
    86
    10
    47
    58
    49
    31
    53
  • Class-Interval
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    63 - 69
    Frequency
    86
    47
    10
    53
    49
    31
    53
  • Class-Interval
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    63 - 69
    Frequency
    86
    47
    10
    58
    49
    31
    53
  • Class-Interval
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    63 - 69
    Frequency
    86
    47
    14
    58
    49
    31
    53
  • Class-Interval
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    63 - 69
    Frequency
    86
    53
    10
    58
    49
    31
    47
Question 9
9.
    • Temperatures of 305 days (in °C) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • Temperature (in degree)
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    70 - 77
    78 - 85
    86 - 93
    No. of days
    48
    46
    15
    48
    46
    33
    18
    47
  • Temperature (in degree)
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    70 - 77
    78 - 85
    86 - 93
    No. of days
    48
    47
    15
    48
    50
    33
    18
    46
  • Temperature (in degree)
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    70 - 77
    78 - 85
    86 - 93
    No. of days
    48
    46
    12
    48
    50
    33
    18
    47
  • Temperature (in degree)
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    70 - 77
    78 - 85
    86 - 93
    No. of days
    48
    46
    15
    48
    50
    33
    18
    47
  • Temperature (in degree)
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    70 - 77
    78 - 85
    86 - 93
    No. of days
    48
    46
    48
    15
    50
    33
    18
    47
Question 10
10.
    • If the lower and upper limit of class interval are 10 and 12 respectively, then the class interval is
  • 10
    -
    12.5
  • 9.5
    -
    12
  • 10
    -
    12
  • 10.5
    -
    11.5
  • 9.5
    -
    12.5