ICSE Board Practice

ICSE Grade X - Graphical Representation of Statistical Data
Question 1
1.
    • Heights of 175 plants (in cm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • Height (in cm)
    67 - 72
    73 - 78
    79 - 84
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    No. of plants
    45
    12
    29
    44
    6
    7
    28
  • Height (in cm)
    67 - 72
    73 - 78
    79 - 84
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    No. of plants
    45
    28
    33
    44
    6
    7
    12
  • Height (in cm)
    67 - 72
    73 - 78
    79 - 84
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    No. of plants
    45
    12
    33
    44
    6
    7
    28
  • Height (in cm)
    67 - 72
    73 - 78
    79 - 84
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    No. of plants
    45
    12
    33
    39
    6
    7
    28
  • Height (in cm)
    67 - 72
    73 - 78
    79 - 84
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    No. of plants
    45
    33
    12
    44
    6
    7
    28
Question 2
2.
    • Rainfall of 157 days (in mm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • Rainfall (in mm)
    13 - 23
    23 - 33
    33 - 43
    43 - 53
    53 - 63
    63 - 73
    No. of days
    19
    33
    18
    50
    5
    32
  • Rainfall (in mm)
    13 - 23
    23 - 33
    33 - 43
    43 - 53
    53 - 63
    63 - 73
    No. of days
    19
    32
    18
    50
    5
    33
  • Rainfall (in mm)
    13 - 23
    23 - 33
    33 - 43
    43 - 53
    53 - 63
    63 - 73
    No. of days
    19
    18
    32
    50
    5
    33
  • Rainfall (in mm)
    13 - 23
    23 - 33
    33 - 43
    43 - 53
    53 - 63
    63 - 73
    No. of days
    19
    32
    18
    48
    5
    33
  • Rainfall (in mm)
    13 - 23
    23 - 33
    33 - 43
    43 - 53
    53 - 63
    63 - 73
    No. of days
    19
    32
    21
    50
    5
    33
Question 3
3.
    • Temperatures of 66 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    13
    10
    10
    7
    6
    20
  • Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    13
    20
    6
    7
    6
    10
  • Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    13
    10
    20
    7
    6
    10
  • Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    13
    20
    10
    7
    6
    10
  • Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    13
    20
    10
    3
    6
    10
Question 4
4.
    • Given class interval
    • 14
    • -
    • 21
    • in exclusive form, its
    • class mark is
  • 35

    2
  • 69

    4
  • 33

    2
  • 37

    2
  • 18
Question 5
5.
    • During the medical check-up of 35 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 72 kg
    • Class-Interval
      36 - 45
      45 - 54
      54 - 63
      63 - 72
      72 - 81
      Frequency
      7
      5
      9
      7
      7
  • 29
  • 28
  • 25
  • 27
  • 31
Question 6
6.
    • In inclusive form representation, the observation
    • 42
    • falls in which class?
  • 43
    -
    52
  • 32
    -
    42
  • 22
    -
    32
  • 27
    -
    37
  • 31
    -
    41
Question 7
7.
    • Scores of 186 students are given below.
    • Identify the class interval table for the given histogram.
  • Score
    86 - 94
    95 - 103
    104 - 112
    113 - 121
    122 - 130
    131 - 139
    140 - 148
    149 - 157
    No. of students
    26
    20
    8
    48
    20
    14
    29
    21
  • Score
    86 - 94
    95 - 103
    104 - 112
    113 - 121
    122 - 130
    131 - 139
    140 - 148
    149 - 157
    No. of students
    26
    20
    12
    48
    20
    14
    29
    21
  • Score
    86 - 94
    95 - 103
    104 - 112
    113 - 121
    122 - 130
    131 - 139
    140 - 148
    149 - 157
    No. of students
    26
    20
    48
    8
    20
    14
    29
    21
  • Score
    86 - 94
    95 - 103
    104 - 112
    113 - 121
    122 - 130
    131 - 139
    140 - 148
    149 - 157
    No. of students
    26
    21
    8
    48
    20
    14
    29
    20
  • Score
    86 - 94
    95 - 103
    104 - 112
    113 - 121
    122 - 130
    131 - 139
    140 - 148
    149 - 157
    No. of students
    26
    20
    8
    48
    17
    14
    29
    21
Question 8
8.
    • Given table in inclusive form, convert it into exclusive form.
    • Class-Interval
      17 - 27
      28 - 38
      39 - 49
      50 - 60
      61 - 71
      Frequency
      23
      40
      47
      33
      38
  • Class-Interval
    16.5 - 26.5
    27.5 - 37.5
    38.5 - 48.5
    49.5 - 59.5
    60.5 - 70.5
    Frequency
    23
    40
    47
    33
    38
  • Class-Interval
    16.5 - 27
    27.5 - 38
    38.5 - 49
    49.5 - 60
    60.5 - 71
    Frequency
    23
    40
    47
    33
    38
  • Class-Interval
    17.5 - 27.5
    28.5 - 38.5
    39.5 - 49.5
    50.5 - 60.5
    61.5 - 71.5
    Frequency
    23
    40
    47
    33
    38
  • Class-Interval
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    Frequency
    43
    42
    25
    43
    15
  • Class-Interval
    16.5 - 27.5
    27.5 - 38.5
    38.5 - 49.5
    49.5 - 60.5
    60.5 - 71.5
    Frequency
    23
    40
    47
    33
    38
Question 9
9.
    • 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)
    143 - 153
    153 - 163
    163 - 173
    173 - 183
    183 - 193
    No. of weeks
    10
    10
    5
    7
    6
  • Cost of living index (in rupees)
    143 - 153
    153 - 163
    163 - 173
    173 - 183
    183 - 193
    No. of weeks
    10
    6
    10
    7
    5
  • Cost of living index (in rupees)
    143 - 153
    153 - 163
    163 - 173
    173 - 183
    183 - 193
    No. of weeks
    10
    5
    10
    7
    6
  • Cost of living index (in rupees)
    143 - 153
    153 - 163
    163 - 173
    173 - 183
    183 - 193
    No. of weeks
    10
    5
    15
    7
    6
  • Cost of living index (in rupees)
    143 - 153
    153 - 163
    163 - 173
    173 - 183
    183 - 193
    No. of weeks
    10
    9
    10
    7
    6
Question 10
10.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      13 - 18
      1
      19 - 24
      x
      25 - 30
      9
      31 - 36
      7
      37 - 42
      7
  • 18.5
    -
    24.5
  • 19
    -
    24
  • 18.5
    -
    25
  • 18
    -
    25
  • 18
    -
    24.5