EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Given class interval
    • 17
    • -
    • 26
    • in exclusive form, its
    • class mark is
  • (i)
    43
    2
  • (ii)
    45
    2
  • (iii)
    41
    2
  • (iv)
    85
    4
  • (v)
    22
Question 2
2.
    • Ages of 57 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    No. of students
    13
    20
    14
    5
    5
  • (ii)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    No. of students
    13
    5
    14
    5
    20
  • (iii)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    No. of students
    13
    14
    5
    5
    20
  • (iv)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    No. of students
    13
    5
    19
    5
    20
  • (v)
    Age (in years)
    13 - 22
    23 - 32
    33 - 42
    43 - 52
    53 - 62
    No. of students
    13
    10
    14
    5
    20
Question 3
3.
    • Heights of 194 plants (in cm) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    85 - 91
    92 - 98
    99 - 105
    No. of plants
    14
    22
    5
    20
    35
    9
    49
    36
  • (ii)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    85 - 91
    92 - 98
    99 - 105
    No. of plants
    14
    36
    5
    20
    39
    9
    49
    22
  • (iii)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    85 - 91
    92 - 98
    99 - 105
    No. of plants
    14
    22
    3
    20
    39
    9
    49
    36
  • (iv)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    85 - 91
    92 - 98
    99 - 105
    No. of plants
    14
    22
    20
    5
    39
    9
    49
    36
  • (v)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    85 - 91
    92 - 98
    99 - 105
    No. of plants
    14
    22
    5
    20
    39
    9
    49
    36
Question 4
4.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      35 - 43
      43 - 51
      51 - 59
      59 - 67
      67 - 75
      75 - 83
      Frequency
      25
      9
      5
      25
      10
      3
  • (i)
    79
  • (ii)
    75
  • (iii)
    76
  • (iv)
    78
  • (v)
    77
Question 5
5.
    • Heights of 234 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    No. of students
    39
    6
    33
    41
    44
    36
    35
  • (ii)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    No. of students
    39
    33
    35
    41
    44
    36
    6
  • (iii)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    No. of students
    39
    35
    33
    41
    44
    36
    6
  • (iv)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    No. of students
    39
    35
    33
    46
    44
    36
    6
  • (v)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    No. of students
    39
    35
    38
    41
    44
    36
    6
Question 6
6.
Heights of 121 plants (in cm) are given below. Identify the class mark table for the given histogram.
  • (i)
    Height (in cm)
    56.5
    64.5
    72.5
    80.5
    88.5
    No. of plants
    7
    21
    49
    32
    12
  • (ii)
    Height (in cm)
    56.5
    64.5
    72.5
    80.5
    88.5
    No. of plants
    7
    49
    21
    32
    12
  • (iii)
    Height (in cm)
    56.5
    64.5
    72.5
    80.5
    88.5
    No. of plants
    7
    49
    18
    32
    12
  • (iv)
    Height (in cm)
    56.5
    64.5
    72.5
    80.5
    88.5
    No. of plants
    7
    45
    21
    32
    12
  • (v)
    Height (in cm)
    56.5
    64.5
    72.5
    80.5
    88.5
    No. of plants
    7
    12
    21
    32
    49
Question 7
7.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      27 - 33
      30
      33 - 39
      28
      39 - 45
      11
      45 - 51
      x
      51 - 57
      12
  • (i)
    44.5
    -
    51.5
  • (ii)
    44.5
    -
    51
  • (iii)
    45.5
    -
    50.5
  • (iv)
    45
    -
    51.5
  • (v)
    45
    -
    51
Question 8
8.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      12 - 20
      20
      21 - 29
      x
      30 - 38
      13
      39 - 47
      19
      48 - 56
      4
  • (i)
    21
    -
    29
  • (ii)
    20.5
    -
    29.5
  • (iii)
    20.5
    -
    30
  • (iv)
    20
    -
    30
  • (v)
    20
    -
    29.5
Question 9
9.
    • Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
  • (i)
    Age (in years)
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    No. of heart patients
    21
    27
    12
    27
    9
    14
  • (ii)
    Age (in years)
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    No. of heart patients
    21
    27
    12
    29
    9
    14
  • (iii)
    Age (in years)
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    No. of heart patients
    21
    12
    27
    29
    9
    14
  • (iv)
    Age (in years)
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    No. of heart patients
    21
    14
    12
    29
    9
    27
  • (v)
    Age (in years)
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    No. of heart patients
    21
    27
    15
    29
    9
    14
Question 10
10.
In a histogram
  • (i)
    the length and width of each rectangle are in proportion
  • (ii)
    the lengths of all rectangles are equal
  • (iii)
    the width of all rectangles are equal
  • (iv)
    the lengths and widths of all rectangles are equal
Question 11
11.
Which of the following class intervals are in inclusive form?
a)
18.5 - 24.5 , 24.5 - 30.5 , 30.5 - 36.5...
b)
34 - 39 , 39 - 44 , 44 - 49...
c)
19 - 24 , 24 - 29 , 29 - 34,...
d)
19 - 24 , 25 - 30 , 31 - 36,...
e)
37 - 42 , 43 - 48 , 49 - 54,...
  • (i)
    {a,d}
  • (ii)
    {b,e}
  • (iii)
    {b,e,d}
  • (iv)
    {c,a,d}
  • (v)
    {d,e}
Question 12
12.
    • Daily wages of 119 labourers (in ₹) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Daily wage (in Rs)
    298 - 305
    306 - 313
    314 - 321
    322 - 329
    330 - 337
    No. of labourers
    40
    14
    16
    6
    45
  • (ii)
    Daily wage (in Rs)
    298 - 305
    306 - 313
    314 - 321
    322 - 329
    330 - 337
    No. of labourers
    40
    14
    14
    6
    45
  • (iii)
    Daily wage (in Rs)
    298 - 305
    306 - 313
    314 - 321
    322 - 329
    330 - 337
    No. of labourers
    40
    45
    14
    6
    14
  • (iv)
    Daily wage (in Rs)
    298 - 305
    306 - 313
    314 - 321
    322 - 329
    330 - 337
    No. of labourers
    40
    19
    14
    6
    45
Question 13
13.
    • Temperatures of 158 days (in °C) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Temperature (in degree)
    26 - 31
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    No. of days
    26
    20
    38
    37
    37
  • (ii)
    Temperature (in degree)
    26 - 31
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    No. of days
    26
    37
    38
    37
    20
  • (iii)
    Temperature (in degree)
    26 - 31
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    No. of days
    26
    38
    20
    37
    37
  • (iv)
    Temperature (in degree)
    26 - 31
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    No. of days
    26
    20
    34
    37
    37
  • (v)
    Temperature (in degree)
    26 - 31
    32 - 37
    38 - 43
    44 - 49
    50 - 55
    No. of days
    26
    22
    38
    37
    37
Question 14
14.
    • Convert the discontinuous form of the class interval 42 - 47 to continuous form
  • (i)
    41
    -
    47.5
  • (ii)
    42
    -
    47
  • (iii)
    41.5
    -
    47.5
  • (iv)
    41
    -
    48
  • (v)
    41.5
    -
    48
Question 15
15.
    • Rainfall of 148 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    10 - 19
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    No. of days
    24
    22
    21
    36
    11
    34
  • (ii)
    Rainfall (in mm)
    10 - 19
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    No. of days
    24
    34
    24
    36
    11
    22
  • (iii)
    Rainfall (in mm)
    10 - 19
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    No. of days
    24
    21
    34
    36
    11
    22
  • (iv)
    Rainfall (in mm)
    10 - 19
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    No. of days
    24
    34
    21
    36
    11
    22
  • (v)
    Rainfall (in mm)
    10 - 19
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    No. of days
    24
    34
    21
    39
    11
    22
Question 16
16.
    • 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
      50 - 60
      60 - 70
      70 - 80
      80 - 90
      No. of Patients
      88
      52
      33
      34
      28
      78
      64
      10
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 20
    88
    20 - 30
    98
    30 - 40
    131
    40 - 50
    165
    50 - 60
    193
    60 - 70
    271
    70 - 80
    335
    80 - 90
    387
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    88
    20 - 30
    140
    30 - 40
    177
    40 - 50
    211
    50 - 60
    239
    60 - 70
    317
    70 - 80
    381
    80 - 90
    391
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    88
    20 - 30
    140
    30 - 40
    173
    40 - 50
    207
    50 - 60
    235
    60 - 70
    313
    70 - 80
    377
    80 - 90
    387
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 20
    88
    20 - 30
    140
    30 - 40
    173
    40 - 50
    207
    50 - 60
    239
    60 - 70
    317
    70 - 80
    381
    80 - 90
    391
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 20
    88
    20 - 30
    140
    30 - 40
    174
    40 - 50
    207
    50 - 60
    235
    60 - 70
    313
    70 - 80
    377
    80 - 90
    387
Question 17
17.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
  • (i)
    Age (in years)
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    64 - 68
    68 - 72
    No. of Patients
    18
    20
    42
    35
    13
    10
  • (ii)
    Age (in years)
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    64 - 68
    68 - 72
    No. of Patients
    18
    10
    42
    31
    13
    20
  • (iii)
    Age (in years)
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    64 - 68
    68 - 72
    No. of Patients
    18
    42
    10
    35
    13
    20
  • (iv)
    Age (in years)
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    64 - 68
    68 - 72
    No. of Patients
    18
    10
    42
    35
    13
    20
  • (v)
    Age (in years)
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    64 - 68
    68 - 72
    No. of Patients
    18
    10
    44
    35
    13
    20
Question 18
18.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Class-Interval
    11 - 17
    18 - 24
    25 - 31
    32 - 38
    39 - 45
    46 - 52
    Frequency
    48
    27
    29
    27
    42
    43
  • (ii)
    Class-Interval
    11 - 17
    18 - 24
    25 - 31
    32 - 38
    39 - 45
    46 - 52
    Frequency
    48
    43
    29
    27
    42
    27
  • (iii)
    Class-Interval
    11 - 17
    18 - 24
    25 - 31
    32 - 38
    39 - 45
    46 - 52
    Frequency
    48
    27
    29
    31
    42
    43
  • (iv)
    Class-Interval
    11 - 17
    18 - 24
    25 - 31
    32 - 38
    39 - 45
    46 - 52
    Frequency
    48
    29
    27
    27
    42
    43
  • (v)
    Class-Interval
    11 - 17
    18 - 24
    25 - 31
    32 - 38
    39 - 45
    46 - 52
    Frequency
    48
    27
    34
    27
    42
    43
Question 19
19.
    • The mid value of the class with frequency x is
    • Class-Interval
      Frequency
      11 - 16
      7
      17 - 22
      28
      23 - 28
      25
      29 - 34
      10
      35 - 40
      x
  • (i)
    149
    4
  • (ii)
    73
    2
  • (iii)
    38
  • (iv)
    77
    2
  • (v)
    75
    2
Question 20
20.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      33 - 43
      44 - 54
      55 - 65
      66 - 76
      77 - 87
      88 - 98
      Frequency
      26
      18
      30
      14
      27
      7
  • (i)
    121
  • (ii)
    120
  • (iii)
    125
  • (iv)
    123
  • (v)
    122
Question 21
21.
    • Temperatures of 73 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Temperature (in degree)
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    47 - 52
    No. of days
    5
    17
    18
    18
    20
  • (ii)
    Temperature (in degree)
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    47 - 52
    No. of days
    5
    17
    13
    18
    20
  • (iii)
    Temperature (in degree)
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    47 - 52
    No. of days
    5
    13
    13
    18
    20
  • (iv)
    Temperature (in degree)
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    47 - 52
    No. of days
    5
    20
    13
    18
    17
  • (v)
    Temperature (in degree)
    27 - 32
    32 - 37
    37 - 42
    42 - 47
    47 - 52
    No. of days
    5
    13
    17
    18
    20
Question 22
22.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Class-Interval
    13 - 18
    19 - 24
    25 - 30
    31 - 36
    37 - 42
    43 - 48
    Frequency
    16
    17
    16
    20
    15
    10
  • (ii)
    Class-Interval
    13 - 18
    19 - 24
    25 - 30
    31 - 36
    37 - 42
    43 - 48
    Frequency
    8
    9
    2
    8
    10
    20
  • (iii)
    Class-Interval
    13 - 18
    19 - 24
    25 - 30
    31 - 36
    37 - 42
    43 - 48
    Frequency
    7
    8
    3
    3
    9
    4
  • (iv)
    Class-Interval
    13 - 18
    19 - 24
    25 - 30
    31 - 36
    37 - 42
    43 - 48
    Frequency
    15
    7
    14
    18
    17
    6
  • (v)
    Class-Interval
    13 - 18
    19 - 24
    25 - 30
    31 - 36
    37 - 42
    43 - 48
    Frequency
    18
    15
    1
    19
    10
    7
Question 23
23.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
  • (i)
    Age (in years)
    55 - 57
    58 - 60
    61 - 63
    64 - 66
    67 - 69
    70 - 72
    73 - 75
    No. of Patients
    23
    38
    10
    16
    25
    17
    35
  • (ii)
    Age (in years)
    55 - 57
    58 - 60
    61 - 63
    64 - 66
    67 - 69
    70 - 72
    73 - 75
    No. of Patients
    23
    10
    38
    11
    25
    17
    35
  • (iii)
    Age (in years)
    55 - 57
    58 - 60
    61 - 63
    64 - 66
    67 - 69
    70 - 72
    73 - 75
    No. of Patients
    23
    10
    34
    16
    25
    17
    35
  • (iv)
    Age (in years)
    55 - 57
    58 - 60
    61 - 63
    64 - 66
    67 - 69
    70 - 72
    73 - 75
    No. of Patients
    23
    10
    38
    16
    25
    17
    35
  • (v)
    Age (in years)
    55 - 57
    58 - 60
    61 - 63
    64 - 66
    67 - 69
    70 - 72
    73 - 75
    No. of Patients
    23
    35
    38
    16
    25
    17
    10
Question 24
24.
    • The daily pocket expenses of 115 students in a school are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Pocket expense (in rupees)
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    7
    12
    21
    30
    17
    14
    14
  • (ii)
    Pocket expense (in rupees)
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    7
    14
    18
    30
    17
    14
    12
  • (iii)
    Pocket expense (in rupees)
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    7
    14
    21
    32
    17
    14
    12
  • (iv)
    Pocket expense (in rupees)
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    7
    21
    14
    30
    17
    14
    12
  • (v)
    Pocket expense (in rupees)
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    7
    14
    21
    30
    17
    14
    12
Question 25
25.
    • Heights of 91 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)
    129 - 138
    139 - 148
    149 - 158
    159 - 168
    169 - 178
    No. of students
    31
    23
    26
    5
    6
  • (ii)
    Height (in cm)
    129 - 138
    139 - 148
    149 - 158
    159 - 168
    169 - 178
    No. of students
    31
    6
    23
    5
    26
  • (iii)
    Height (in cm)
    129 - 138
    139 - 148
    149 - 158
    159 - 168
    169 - 178
    No. of students
    31
    26
    21
    5
    6
  • (iv)
    Height (in cm)
    129 - 138
    139 - 148
    149 - 158
    159 - 168
    169 - 178
    No. of students
    31
    24
    23
    5
    6
  • (v)
    Height (in cm)
    129 - 138
    139 - 148
    149 - 158
    159 - 168
    169 - 178
    No. of students
    31
    26
    23
    5
    6
    Assignment Key
  •  1) (i)
  •  2) (ii)
  •  3) (v)
  •  4) (v)
  •  5) (iii)
  •  6) (ii)
  •  7) (v)
  •  8) (ii)
  •  9) (ii)
  •  10) (iii)
  •  11) (v)
  •  12) (ii)
  •  13) (i)
  •  14) (iii)
  •  15) (iv)
  •  16) (iii)
  •  17) (iv)
  •  18) (i)
  •  19) (v)
  •  20) (v)
  •  21) (ii)
  •  22) (iii)
  •  23) (iv)
  •  24) (v)
  •  25) (v)