EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • The daily pocket expenses of 157 students in a school are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Pocket expense (in rupees)
    0 - 5
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    No. of students
    30
    10
    20
    19
    10
    29
    14
    22
  • (ii)
    Pocket expense (in rupees)
    0 - 5
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    No. of students
    30
    10
    19
    23
    10
    29
    14
    22
  • (iii)
    Pocket expense (in rupees)
    0 - 5
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    No. of students
    30
    10
    23
    19
    10
    29
    14
    22
  • (iv)
    Pocket expense (in rupees)
    0 - 5
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    No. of students
    30
    10
    23
    19
    6
    29
    14
    22
  • (v)
    Pocket expense (in rupees)
    0 - 5
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    No. of students
    30
    22
    23
    19
    10
    29
    14
    10
Question 2
2.
    • If the upper and lower limit of class interval are 20 and 10 respectively, then the class interval is
  • (i)
    10.5
    -
    19.5
  • (ii)
    9.5
    -
    20.5
  • (iii)
    10
    -
    20
  • (iv)
    9.5
    -
    20
  • (v)
    10
    -
    20.5
Question 3
3.
    • Given class interval
    • 49
    • -
    • 56
    • in exclusive form, its
    • class size is
  • (i)
    5
  • (ii)
    6
  • (iii)
    8
  • (iv)
    10
  • (v)
    7
Question 4
4.
    • Rainfall of 190 days (in mm) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Rainfall (in mm)
    5 - 13
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    No. of days
    38
    48
    42
    29
    10
    23
  • (ii)
    Rainfall (in mm)
    5 - 13
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    No. of days
    38
    23
    42
    29
    10
    48
  • (iii)
    Rainfall (in mm)
    5 - 13
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    No. of days
    38
    23
    42
    24
    10
    48
  • (iv)
    Rainfall (in mm)
    5 - 13
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    No. of days
    38
    23
    40
    29
    10
    48
  • (v)
    Rainfall (in mm)
    5 - 13
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    No. of days
    38
    42
    23
    29
    10
    48
Question 5
5.
    • 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)
      10 - 20
      20 - 30
      30 - 40
      40 - 50
      No. of Patients
      67
      66
      65
      30
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 20
    30
    20 - 30
    96
    30 - 40
    161
    40 - 50
    228
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    67
    20 - 30
    132
    30 - 40
    198
    40 - 50
    228
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    67
    20 - 30
    133
    30 - 40
    198
    40 - 50
    228
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 20
    67
    20 - 30
    133
    30 - 40
    196
    40 - 50
    226
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 20
    67
    20 - 30
    138
    30 - 40
    203
    40 - 50
    233
Question 6
6.
    • Given class interval
    • 15
    • -
    • 22
    • in exclusive form, its
    • class mark is
  • (i)
    35
    2
  • (ii)
    19
  • (iii)
    37
    2
  • (iv)
    73
    4
  • (v)
    39
    2
Question 7
7.
    • The class boundaries of 19 - 24 which is in inclusive form are
  • (i)
    18
    -
    24.5
  • (ii)
    18.5
    -
    25
  • (iii)
    18.5
    -
    24.5
  • (iv)
    18
    -
    25
  • (v)
    19
    -
    24
Question 8
8.
    • Heights of 223 plants (in cm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Height (in cm)
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    No. of plants
    36
    48
    40
    50
    33
    18
  • (ii)
    Height (in cm)
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    No. of plants
    36
    40
    48
    48
    33
    18
  • (iii)
    Height (in cm)
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    No. of plants
    36
    48
    40
    48
    33
    18
  • (iv)
    Height (in cm)
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    No. of plants
    36
    48
    45
    48
    33
    18
  • (v)
    Height (in cm)
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    No. of plants
    36
    18
    40
    48
    33
    48
Question 9
9.
    • Convert the continuous form of the class interval 27.5 - 33.5 to discontinuous form
  • (i)
    28.5
    -
    32.5
  • (ii)
    27.5
    -
    33
  • (iii)
    28
    -
    33.5
  • (iv)
    28
    -
    33
  • (v)
    27.5
    -
    33.5
Question 10
10.
    • Find the sum of frequencies for the given table
    • Value
      11
      15
      26
      51
      68
      71
      79
      80
      87
      Frequency
      1
      1
      1
      1
      1
      2
      1
      1
      1
  • (i)
    13
  • (ii)
    8
  • (iii)
    11
  • (iv)
    9
  • (v)
    10
Question 11
11.
    • Rainfall of 184 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)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    No. of days
    33
    43
    21
    20
    23
    22
    22
  • (ii)
    Rainfall (in mm)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    No. of days
    33
    22
    24
    20
    23
    22
    43
  • (iii)
    Rainfall (in mm)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    No. of days
    33
    21
    22
    20
    23
    22
    43
  • (iv)
    Rainfall (in mm)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    No. of days
    33
    22
    21
    20
    23
    22
    43
  • (v)
    Rainfall (in mm)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    No. of days
    33
    22
    21
    18
    23
    22
    43
Question 12
12.
Ages of 147 students (in years) are given below. Identify the class mark table for the given histogram.
  • (i)
    Age (in years)
    20.5
    30.5
    40.5
    50.5
    60.5
    No. of students
    37
    54
    25
    25
    10
  • (ii)
    Age (in years)
    20.5
    30.5
    40.5
    50.5
    60.5
    No. of students
    37
    50
    25
    25
    10
  • (iii)
    Age (in years)
    20.5
    30.5
    40.5
    50.5
    60.5
    No. of students
    37
    10
    25
    25
    50
  • (iv)
    Age (in years)
    20.5
    30.5
    40.5
    50.5
    60.5
    No. of students
    37
    50
    23
    25
    10
  • (v)
    Age (in years)
    20.5
    30.5
    40.5
    50.5
    60.5
    No. of students
    37
    25
    50
    25
    10
Question 13
13.
A histogram consists of
  • (i)
    triangles
  • (ii)
    rectangles
  • (iii)
    sectors
  • (iv)
    squares
Question 14
14.
    • Given the number of doctors working in government hospitals in a city in various age groups. Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Age (in years)
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of doctors
    12
    24
    37
    11
    24
    39
  • (ii)
    Age (in years)
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of doctors
    12
    39
    41
    11
    24
    24
  • (iii)
    Age (in years)
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of doctors
    12
    41
    24
    11
    24
    39
  • (iv)
    Age (in years)
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of doctors
    12
    24
    41
    11
    24
    39
  • (v)
    Age (in years)
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of doctors
    12
    24
    41
    8
    24
    39
Question 15
15.
    • Heights of 54 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    No. of plants
    10
    14
    11
    6
    8
    10
  • (ii)
    Height (in cm)
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    No. of plants
    10
    6
    14
    6
    8
    10
  • (iii)
    Height (in cm)
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    No. of plants
    10
    14
    6
    9
    8
    10
  • (iv)
    Height (in cm)
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    No. of plants
    10
    14
    6
    6
    8
    10
  • (v)
    Height (in cm)
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    107 - 117
    117 - 127
    No. of plants
    10
    10
    6
    6
    8
    14
Question 16
16.
    • Marks obtained by 121 students of a class in an examination are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    6
    27
    28
    30
    15
    18
  • (ii)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    6
    27
    23
    27
    15
    18
  • (iii)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    6
    27
    28
    27
    15
    18
  • (iv)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    6
    28
    27
    27
    15
    18
  • (v)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    6
    18
    28
    27
    15
    27
Question 17
17.
The heights of 20 pupils in a school are given below. Identify the frequency distribution table for the given less than ogive.
  • (i)
    Height (in cm)
    less than 131
    less than 141
    less than 151
    less than 161
    No. of pupils
    5
    10
    11
    16
  • (ii)
    Height (in cm)
    less than 131
    less than 141
    less than 151
    less than 161
    No. of pupils
    5
    10
    15
    20
  • (iii)
    Height (in cm)
    less than 131
    less than 141
    less than 151
    less than 161
    No. of pupils
    5
    7
    12
    17
Question 18
18.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
  • (i)
    Age (in years)
    32 - 35
    36 - 39
    40 - 43
    44 - 47
    48 - 51
    52 - 55
    56 - 59
    60 - 63
    No. of Patients
    15
    18
    20
    11
    47
    32
    19
    41
  • (ii)
    Age (in years)
    32 - 35
    36 - 39
    40 - 43
    44 - 47
    48 - 51
    52 - 55
    56 - 59
    60 - 63
    No. of Patients
    15
    18
    11
    20
    47
    32
    19
    41
  • (iii)
    Age (in years)
    32 - 35
    36 - 39
    40 - 43
    44 - 47
    48 - 51
    52 - 55
    56 - 59
    60 - 63
    No. of Patients
    15
    18
    7
    20
    47
    32
    19
    41
  • (iv)
    Age (in years)
    32 - 35
    36 - 39
    40 - 43
    44 - 47
    48 - 51
    52 - 55
    56 - 59
    60 - 63
    No. of Patients
    15
    41
    11
    20
    47
    32
    19
    18
  • (v)
    Age (in years)
    32 - 35
    36 - 39
    40 - 43
    44 - 47
    48 - 51
    52 - 55
    56 - 59
    60 - 63
    No. of Patients
    15
    18
    11
    20
    45
    32
    19
    41
Question 19
19.
The production yield in kg per hectare of wheat of 42 farms of a village is given below. Identify the frequency distribution table for the given less than ogive.
  • (i)
    Production yield (in kg/ha)
    less than 69
    less than 78
    less than 87
    less than 96
    less than 105
    less than 114
    Number of farms
    5
    12
    22
    31
    38
    45
  • (ii)
    Production yield (in kg/ha)
    less than 69
    less than 78
    less than 87
    less than 96
    less than 105
    less than 114
    Number of farms
    5
    12
    22
    28
    35
    42
  • (iii)
    Production yield (in kg/ha)
    less than 69
    less than 78
    less than 87
    less than 96
    less than 105
    less than 114
    Number of farms
    5
    12
    27
    33
    40
    47
  • (iv)
    Production yield (in kg/ha)
    less than 69
    less than 78
    less than 87
    less than 96
    less than 105
    less than 114
    Number of farms
    5
    15
    22
    28
    35
    42
Question 20
20.
    • Scores of 189 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of students
    19
    27
    49
    44
    50
  • (ii)
    Score
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of students
    19
    49
    50
    44
    27
  • (iii)
    Score
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of students
    19
    47
    49
    44
    27
  • (iv)
    Score
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of students
    19
    50
    45
    44
    27
  • (v)
    Score
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of students
    19
    50
    49
    44
    27
Question 21
21.
    • Heights of 259 students (in cm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    181 - 188
    No. of students
    20
    12
    36
    50
    33
    37
    50
    21
  • (ii)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    181 - 188
    No. of students
    20
    21
    40
    50
    33
    37
    50
    12
  • (iii)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    181 - 188
    No. of students
    20
    21
    36
    50
    33
    37
    50
    12
  • (iv)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    181 - 188
    No. of students
    20
    21
    36
    50
    31
    37
    50
    12
  • (v)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    181 - 188
    No. of students
    20
    21
    50
    36
    33
    37
    50
    12
Question 22
22.
    • Convert the exclusive form of the class interval 44.5 - 48.5 to inclusive form
  • (i)
    45
    -
    48.5
  • (ii)
    44.5
    -
    48.5
  • (iii)
    45
    -
    48
  • (iv)
    45.5
    -
    47.5
  • (v)
    44.5
    -
    48
Question 23
23.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      44 - 51
      27
      52 - 59
      24
      60 - 67
      9
      68 - 75
      x
      76 - 83
      23
  • (i)
    67.5
    -
    76
  • (ii)
    68
    -
    75
  • (iii)
    67.5
    -
    75.5
  • (iv)
    67
    -
    76
  • (v)
    67
    -
    75.5
Question 24
24.
    • 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)
      10 - 20
      21 - 31
      32 - 42
      43 - 53
      No. of Patients
      46
      21
      85
      21
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 20
    46
    21 - 31
    131
    32 - 42
    152
    43 - 53
    173
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    46
    21 - 31
    72
    32 - 42
    157
    43 - 53
    178
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    46
    21 - 31
    67
    32 - 42
    149
    43 - 53
    170
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 20
    21
    21 - 31
    42
    32 - 42
    127
    43 - 53
    173
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 20
    46
    21 - 31
    67
    32 - 42
    152
    43 - 53
    173
Question 25
25.
Daily wages of 201 labourers (in ₹) are given below. Identify the class mark table for the given histogram.
  • (i)
    Daily wage (in Rs)
    214
    220
    226
    232
    238
    244
    No. of labourers
    50
    46
    26
    37
    27
    19
  • (ii)
    Daily wage (in Rs)
    214
    220
    226
    232
    238
    244
    No. of labourers
    50
    46
    24
    33
    27
    19
  • (iii)
    Daily wage (in Rs)
    214
    220
    226
    232
    238
    244
    No. of labourers
    50
    26
    46
    33
    27
    19
  • (iv)
    Daily wage (in Rs)
    214
    220
    226
    232
    238
    244
    No. of labourers
    50
    46
    26
    33
    27
    19
  • (v)
    Daily wage (in Rs)
    214
    220
    226
    232
    238
    244
    No. of labourers
    50
    19
    26
    33
    27
    46
    Assignment Key
  •  1) (iii)
  •  2) (iii)
  •  3) (v)
  •  4) (ii)
  •  5) (iii)
  •  6) (iii)
  •  7) (iii)
  •  8) (iii)
  •  9) (iv)
  •  10) (v)
  •  11) (iv)
  •  12) (ii)
  •  13) (ii)
  •  14) (iv)
  •  15) (iv)
  •  16) (iii)
  •  17) (ii)
  •  18) (ii)
  •  19) (ii)
  •  20) (v)
  •  21) (iii)
  •  22) (iii)
  •  23) (iii)
  •  24) (v)
  •  25) (iv)