EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Ages of 73 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    19 - 28
    29 - 38
    39 - 48
    49 - 58
    59 - 68
    69 - 78
    79 - 88
    No. of students
    18
    9
    2
    9
    7
    9
    14
  • (ii)
    Age (in years)
    19 - 28
    29 - 38
    39 - 48
    49 - 58
    59 - 68
    69 - 78
    79 - 88
    No. of students
    18
    7
    9
    9
    7
    9
    14
  • (iii)
    Age (in years)
    19 - 28
    29 - 38
    39 - 48
    49 - 58
    59 - 68
    69 - 78
    79 - 88
    No. of students
    18
    9
    7
    9
    7
    9
    14
  • (iv)
    Age (in years)
    19 - 28
    29 - 38
    39 - 48
    49 - 58
    59 - 68
    69 - 78
    79 - 88
    No. of students
    18
    14
    7
    9
    7
    9
    9
  • (v)
    Age (in years)
    19 - 28
    29 - 38
    39 - 48
    49 - 58
    59 - 68
    69 - 78
    79 - 88
    No. of students
    18
    9
    7
    6
    7
    9
    14
Question 2
2.
Identify the class interval table for the given histogram.
  • (i)
    Class-Interval
    82 - 87
    87 - 92
    92 - 97
    97 - 102
    102 - 107
    Frequency
    110
    129
    93
    127
    60
  • (ii)
    Class-Interval
    82 - 87
    87 - 92
    92 - 97
    97 - 102
    102 - 107
    Frequency
    110
    60
    93
    127
    129
  • (iii)
    Class-Interval
    82 - 87
    87 - 92
    92 - 97
    97 - 102
    102 - 107
    Frequency
    110
    60
    91
    127
    129
  • (iv)
    Class-Interval
    82 - 87
    87 - 92
    92 - 97
    97 - 102
    102 - 107
    Frequency
    110
    93
    60
    127
    129
  • (v)
    Class-Interval
    82 - 87
    87 - 92
    92 - 97
    97 - 102
    102 - 107
    Frequency
    110
    56
    93
    127
    129
Question 3
3.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    Frequency
    44
    29
    14
    29
    49
  • (ii)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    Frequency
    44
    49
    29
    29
    14
  • (iii)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    Frequency
    44
    12
    29
    29
    49
  • (iv)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    Frequency
    44
    14
    33
    29
    49
  • (v)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    Frequency
    44
    14
    29
    29
    49
Question 4
4.
    • The mid value of the class with frequency x is
    • Class-Interval
      Frequency
      6 - 16
      27
      17 - 27
      x
      28 - 38
      1
      39 - 49
      12
      50 - 60
      4
  • (i)
    25
  • (ii)
    23
  • (iii)
    21
  • (iv)
    22
  • (v)
    19
Question 5
5.
    • During the medical check-up of 47 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 45 kg
    • Class-Interval
      38 - 45
      45 - 52
      52 - 59
      59 - 66
      66 - 73
      73 - 80
      Frequency
      9
      7
      7
      9
      10
      5
  • (i)
    36
  • (ii)
    39
  • (iii)
    38
  • (iv)
    37
  • (v)
    41
Question 6
6.
    • Weights of 197 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    72 - 80
    80 - 88
    88 - 96
    No. of students
    11
    11
    18
    41
    43
    41
    32
  • (ii)
    Weight (in kg)
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    72 - 80
    80 - 88
    88 - 96
    No. of students
    11
    32
    18
    41
    43
    41
    11
  • (iii)
    Weight (in kg)
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    72 - 80
    80 - 88
    88 - 96
    No. of students
    11
    32
    18
    36
    43
    41
    11
  • (iv)
    Weight (in kg)
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    72 - 80
    80 - 88
    88 - 96
    No. of students
    11
    32
    23
    41
    43
    41
    11
  • (v)
    Weight (in kg)
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    72 - 80
    80 - 88
    88 - 96
    No. of students
    11
    18
    32
    41
    43
    41
    11
Question 7
7.
    • If some random sample data is arranged in a frequency distribution table in
    • exclusive form
    • with
    • 5
    • -
    • 13
    • as the first class,
    • then the observation
    • 37
    • falls in which class?
  • (i)
    38
    -
    46
  • (ii)
    37
    -
    45
  • (iii)
    37.5
    -
    44.5
  • (iv)
    36
    -
    44
  • (v)
    36.5
    -
    45.5
Question 8
8.
    • Rainfall of 197 days (in mm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Rainfall (in mm)
    12 - 20
    20 - 28
    28 - 36
    36 - 44
    44 - 52
    52 - 60
    60 - 68
    No. of days
    34
    21
    9
    50
    34
    9
    40
  • (ii)
    Rainfall (in mm)
    12 - 20
    20 - 28
    28 - 36
    36 - 44
    44 - 52
    52 - 60
    60 - 68
    No. of days
    34
    40
    9
    50
    34
    9
    21
  • (iii)
    Rainfall (in mm)
    12 - 20
    20 - 28
    28 - 36
    36 - 44
    44 - 52
    52 - 60
    60 - 68
    No. of days
    34
    9
    40
    50
    34
    9
    21
  • (iv)
    Rainfall (in mm)
    12 - 20
    20 - 28
    28 - 36
    36 - 44
    44 - 52
    52 - 60
    60 - 68
    No. of days
    34
    40
    14
    50
    34
    9
    21
  • (v)
    Rainfall (in mm)
    12 - 20
    20 - 28
    28 - 36
    36 - 44
    44 - 52
    52 - 60
    60 - 68
    No. of days
    34
    40
    9
    52
    34
    9
    21
Question 9
9.
    • Heights of 136 students (in cm) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Height (in cm)
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    180 - 190
    No. of students
    12
    28
    7
    29
    17
    43
  • (ii)
    Height (in cm)
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    180 - 190
    No. of students
    12
    43
    11
    29
    17
    28
  • (iii)
    Height (in cm)
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    180 - 190
    No. of students
    12
    43
    7
    26
    17
    28
  • (iv)
    Height (in cm)
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    180 - 190
    No. of students
    12
    7
    43
    29
    17
    28
  • (v)
    Height (in cm)
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    180 - 190
    No. of students
    12
    43
    7
    29
    17
    28
Question 10
10.
Rainfall of 124 days (in mm) are given below. Identify the class mark table for the given histogram.
  • (i)
    Rainfall (in mm)
    19
    30
    41
    52
    63
    No. of days
    24
    19
    36
    36
    9
  • (ii)
    Rainfall (in mm)
    19
    30
    41
    52
    63
    No. of days
    24
    9
    36
    36
    19
  • (iii)
    Rainfall (in mm)
    19
    30
    41
    52
    63
    No. of days
    24
    16
    36
    36
    9
  • (iv)
    Rainfall (in mm)
    19
    30
    41
    52
    63
    No. of days
    24
    19
    41
    36
    9
  • (v)
    Rainfall (in mm)
    19
    30
    41
    52
    63
    No. of days
    24
    36
    19
    36
    9
Question 11
11.
    • Convert the discontinuous form of the class interval 48 - 56 to continuous form
  • (i)
    47
    -
    57
  • (ii)
    47
    -
    56.5
  • (iii)
    48
    -
    56
  • (iv)
    47.5
    -
    57
  • (v)
    47.5
    -
    56.5
Question 12
12.
    • Given class interval
    • 39
    • -
    • 42
    • in exclusive form, its
    • class size is
  • (i)
    4
  • (ii)
    2
  • (iii)
    3
  • (iv)
    6
  • (v)
    0
Question 13
13.
Which of the following class intervals are in exclusive form?
a)
52 - 62 , 63 - 73 , 74 - 84,...
b)
19 - 29 , 30 - 40 , 41 - 51,...
c)
18.5 - 29.5 , 29.5 - 40.5 , 40.5 - 51.5...
d)
49 - 59 , 59 - 69 , 69 - 79...
e)
19 - 29 , 29 - 39 , 39 - 49,...
  • (i)
    {b,d}
  • (ii)
    {a,c}
  • (iii)
    {a,c,d}
  • (iv)
    {c,d,e}
  • (v)
    {a,b,e}
Question 14
14.
    • Heights of 93 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    61 - 68
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    No. of plants
    47
    14
    9
    6
    20
  • (ii)
    Height (in cm)
    61 - 68
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    No. of plants
    47
    14
    6
    6
    20
  • (iii)
    Height (in cm)
    61 - 68
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    No. of plants
    47
    6
    14
    6
    20
  • (iv)
    Height (in cm)
    61 - 68
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    No. of plants
    47
    20
    6
    6
    14
  • (v)
    Height (in cm)
    61 - 68
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    No. of plants
    47
    16
    6
    6
    20
Question 15
15.
Identify the frequency distribution table for the given ogive.
  • (i)
    Class-Interval
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    Frequency
    11
    10
    20
    10
    15
    20
    3
    7
  • (ii)
    Class-Interval
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    Frequency
    12
    11
    14
    20
    19
    14
    17
    3
  • (iii)
    Class-Interval
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    Frequency
    7
    13
    20
    19
    19
    14
    9
    2
  • (iv)
    Class-Interval
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    Frequency
    13
    1
    13
    4
    3
    7
    19
    9
  • (v)
    Class-Interval
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    Frequency
    14
    10
    1
    4
    20
    6
    14
    3
Question 16
16.
    • The class mark of the class with frequency x is
    • Class-Interval
      Frequency
      10 - 20
      21
      21 - 31
      5
      32 - 42
      22
      43 - 53
      27
      54 - 64
      x
  • (i)
    60
  • (ii)
    61
  • (iii)
    57
  • (iv)
    58
  • (v)
    59
Question 17
17.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      16 - 22
      10
      22 - 28
      16
      28 - 34
      23
      34 - 40
      36
      40 - 46
      43
  • (i)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    10
    6
    7
    13
    7
  • (ii)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    10
    2
    7
    13
    7
  • (iii)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    10
    7
    6
    13
    7
  • (iv)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    10
    6
    12
    13
    7
  • (v)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    10
    7
    7
    13
    6
Question 18
18.
    • Following are the ages (in years) of patients getting medical treatment in a hospital. Identify the cumulative frequency of the given grouped data.
    • Age (in years)
      20 - 25
      26 - 31
      32 - 37
      38 - 43
      44 - 49
      50 - 55
      56 - 61
      No. of Patients
      17
      58
      68
      49
      31
      16
      60
  • (i)
    Age (in years)
    Cumulative Frequency
    20 - 25
    17
    26 - 31
    85
    32 - 37
    143
    38 - 43
    192
    44 - 49
    223
    50 - 55
    239
    56 - 61
    299
  • (ii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    17
    26 - 31
    75
    32 - 37
    143
    38 - 43
    192
    44 - 49
    223
    50 - 55
    239
    56 - 61
    299
  • (iii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    17
    26 - 31
    75
    32 - 37
    147
    38 - 43
    196
    44 - 49
    227
    50 - 55
    243
    56 - 61
    303
  • (iv)
    Age (in years)
    Cumulative Frequency
    20 - 25
    17
    26 - 31
    75
    32 - 37
    143
    38 - 43
    188
    44 - 49
    219
    50 - 55
    235
    56 - 61
    295
  • (v)
    Age (in years)
    Cumulative Frequency
    20 - 25
    17
    26 - 31
    77
    32 - 37
    145
    38 - 43
    194
    44 - 49
    225
    50 - 55
    241
    56 - 61
    299
Question 19
19.
    • During the medical check-up of 71 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 55 kg
    • Class-Interval
      40 - 45
      45 - 50
      50 - 55
      55 - 60
      60 - 65
      65 - 70
      70 - 75
      75 - 80
      Frequency
      12
      6
      10
      8
      8
      11
      7
      9
  • (i)
    31
  • (ii)
    27
  • (iii)
    25
  • (iv)
    29
  • (v)
    28
Question 20
20.
    • The upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      16 - 23
      3
      23 - 30
      10
      30 - 37
      x
      37 - 44
      25
      44 - 51
      27
  • (i)
    34
  • (ii)
    36
  • (iii)
    37
  • (iv)
    38
  • (v)
    40
Question 21
21.
    • Ages of 146 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    63 - 72
    73 - 82
    No. of students
    12
    15
    13
    40
    15
    28
    23
  • (ii)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    63 - 72
    73 - 82
    No. of students
    12
    13
    15
    40
    15
    28
    23
  • (iii)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    63 - 72
    73 - 82
    No. of students
    12
    15
    13
    37
    15
    28
    23
  • (iv)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    63 - 72
    73 - 82
    No. of students
    12
    23
    13
    40
    15
    28
    15
  • (v)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    63 - 72
    73 - 82
    No. of students
    12
    15
    11
    40
    15
    28
    23
Question 22
22.
Scores of 169 students are given below. Identify the class mark table for the given histogram.
  • (i)
    Score
    38
    46
    54
    62
    70
    78
    No. of students
    39
    36
    11
    22
    36
    25
  • (ii)
    Score
    38
    46
    54
    62
    70
    78
    No. of students
    39
    36
    11
    17
    36
    25
  • (iii)
    Score
    38
    46
    54
    62
    70
    78
    No. of students
    39
    36
    16
    22
    36
    25
  • (iv)
    Score
    38
    46
    54
    62
    70
    78
    No. of students
    39
    11
    36
    22
    36
    25
  • (v)
    Score
    38
    46
    54
    62
    70
    78
    No. of students
    39
    25
    11
    22
    36
    36
Question 23
23.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      21 - 27
      10
      28 - 34
      24
      35 - 41
      40
      42 - 48
      45
      49 - 55
      53
      56 - 62
      66
      63 - 69
      75
      70 - 76
      84
  • (i)
    Class-Interval
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    Frequency
    10
    14
    16
    5
    12
    13
    9
    9
  • (ii)
    Class-Interval
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    Frequency
    10
    9
    16
    5
    8
    13
    9
    14
  • (iii)
    Class-Interval
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    Frequency
    10
    14
    5
    16
    8
    13
    9
    9
  • (iv)
    Class-Interval
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    Frequency
    10
    14
    12
    5
    8
    13
    9
    9
  • (v)
    Class-Interval
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    Frequency
    10
    14
    16
    5
    8
    13
    9
    9
Question 24
24.
    • Heights of 149 plants (in cm) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    37
    20
    48
    19
    25
  • (ii)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    37
    52
    20
    19
    25
  • (iii)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    37
    48
    20
    19
    25
  • (iv)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    37
    25
    20
    19
    48
  • (v)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    37
    48
    24
    19
    25
Question 25
25.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      33 - 40
      40 - 47
      47 - 54
      54 - 61
      Frequency
      22
      10
      1
      26
  • (i)
    58
  • (ii)
    56
  • (iii)
    60
  • (iv)
    59
  • (v)
    62
    Assignment Key
  •  1) (iii)
  •  2) (ii)
  •  3) (v)
  •  4) (iv)
  •  5) (iii)
  •  6) (ii)
  •  7) (ii)
  •  8) (ii)
  •  9) (v)
  •  10) (i)
  •  11) (v)
  •  12) (iii)
  •  13) (iv)
  •  14) (ii)
  •  15) (iii)
  •  16) (v)
  •  17) (i)
  •  18) (ii)
  •  19) (v)
  •  20) (iii)
  •  21) (i)
  •  22) (i)
  •  23) (v)
  •  24) (iii)
  •  25) (iv)