EduSahara™ Assignment
Name : Frequency Polygon
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Class-Interval
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    Frequency
    19
    38
    13
    42
    29
    18
    19
    40
  • (ii)
    Class-Interval
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    Frequency
    19
    38
    16
    42
    29
    18
    19
    40
  • (iii)
    Class-Interval
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    Frequency
    19
    38
    13
    42
    34
    18
    19
    40
  • (iv)
    Class-Interval
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    Frequency
    19
    38
    42
    13
    29
    18
    19
    40
  • (v)
    Class-Interval
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    Frequency
    19
    40
    13
    42
    29
    18
    19
    38
Question 2
2.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Class-Interval
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    77 - 84
    84 - 91
    91 - 98
    Frequency
    11
    40
    22
    11
    14
    25
    48
  • (ii)
    Class-Interval
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    77 - 84
    84 - 91
    91 - 98
    Frequency
    11
    40
    17
    11
    14
    25
    48
  • (iii)
    Class-Interval
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    77 - 84
    84 - 91
    91 - 98
    Frequency
    11
    48
    17
    11
    14
    25
    40
  • (iv)
    Class-Interval
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    77 - 84
    84 - 91
    91 - 98
    Frequency
    11
    40
    17
    6
    14
    25
    48
  • (v)
    Class-Interval
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    77 - 84
    84 - 91
    91 - 98
    Frequency
    11
    17
    40
    11
    14
    25
    48
Question 3
3.
    • Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
  • (i)
    Age (in years)
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    No. of heart patients
    17
    11
    6
    23
    18
    21
    12
    27
  • (ii)
    Age (in years)
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    No. of heart patients
    17
    27
    6
    23
    15
    21
    12
    11
  • (iii)
    Age (in years)
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    No. of heart patients
    17
    11
    23
    6
    15
    21
    12
    27
  • (iv)
    Age (in years)
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    No. of heart patients
    17
    11
    6
    23
    15
    21
    12
    27
  • (v)
    Age (in years)
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    No. of heart patients
    17
    11
    8
    23
    15
    21
    12
    27
Question 4
4.
    • Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
  • (i)
    Age (in years)
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    No. of heart patients
    18
    19
    19
    27
    19
  • (ii)
    Age (in years)
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    No. of heart patients
    18
    15
    19
    27
    19
  • (iii)
    Age (in years)
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    No. of heart patients
    18
    23
    15
    27
    19
  • (iv)
    Age (in years)
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    No. of heart patients
    18
    19
    15
    27
    19
Question 5
5.
    • Heights of 160 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    123 - 131
    131 - 139
    139 - 147
    147 - 155
    155 - 163
    163 - 171
    171 - 179
    No. of students
    19
    20
    14
    23
    26
    39
    19
  • (ii)
    Height (in cm)
    123 - 131
    131 - 139
    139 - 147
    147 - 155
    155 - 163
    163 - 171
    171 - 179
    No. of students
    19
    20
    12
    23
    26
    39
    19
  • (iii)
    Height (in cm)
    123 - 131
    131 - 139
    139 - 147
    147 - 155
    155 - 163
    163 - 171
    171 - 179
    No. of students
    19
    19
    14
    23
    26
    39
    20
  • (iv)
    Height (in cm)
    123 - 131
    131 - 139
    139 - 147
    147 - 155
    155 - 163
    163 - 171
    171 - 179
    No. of students
    19
    20
    14
    28
    26
    39
    19
  • (v)
    Height (in cm)
    123 - 131
    131 - 139
    139 - 147
    147 - 155
    155 - 163
    163 - 171
    171 - 179
    No. of students
    19
    14
    20
    23
    26
    39
    19
Question 6
6.
    • Heights of 163 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    128 - 134
    135 - 141
    142 - 148
    149 - 155
    156 - 162
    163 - 169
    No. of students
    18
    17
    39
    10
    41
    38
  • (ii)
    Height (in cm)
    128 - 134
    135 - 141
    142 - 148
    149 - 155
    156 - 162
    163 - 169
    No. of students
    18
    38
    17
    10
    41
    39
  • (iii)
    Height (in cm)
    128 - 134
    135 - 141
    142 - 148
    149 - 155
    156 - 162
    163 - 169
    No. of students
    18
    39
    17
    12
    41
    38
  • (iv)
    Height (in cm)
    128 - 134
    135 - 141
    142 - 148
    149 - 155
    156 - 162
    163 - 169
    No. of students
    18
    39
    17
    10
    41
    38
  • (v)
    Height (in cm)
    128 - 134
    135 - 141
    142 - 148
    149 - 155
    156 - 162
    163 - 169
    No. of students
    18
    39
    20
    10
    41
    38
Question 7
7.
    • Heights of 123 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    69 - 77
    77 - 85
    85 - 93
    93 - 101
    101 - 109
    No. of plants
    12
    22
    12
    32
    45
  • (ii)
    Height (in cm)
    69 - 77
    77 - 85
    85 - 93
    93 - 101
    101 - 109
    No. of plants
    12
    22
    15
    32
    45
  • (iii)
    Height (in cm)
    69 - 77
    77 - 85
    85 - 93
    93 - 101
    101 - 109
    No. of plants
    12
    45
    12
    32
    22
  • (iv)
    Height (in cm)
    69 - 77
    77 - 85
    85 - 93
    93 - 101
    101 - 109
    No. of plants
    12
    25
    12
    32
    45
  • (v)
    Height (in cm)
    69 - 77
    77 - 85
    85 - 93
    93 - 101
    101 - 109
    No. of plants
    12
    12
    22
    32
    45
Question 8
8.
    • Heights of 137 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    No. of plants
    11
    40
    28
    25
    29
  • (ii)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    No. of plants
    11
    40
    32
    25
    29
  • (iii)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    No. of plants
    11
    32
    40
    25
    29
  • (iv)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    No. of plants
    11
    45
    32
    25
    29
  • (v)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    No. of plants
    11
    29
    32
    25
    40
Question 9
9.
    • Ages of 178 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    14 - 22
    22 - 30
    30 - 38
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    No. of students
    48
    18
    45
    8
    45
    7
    9
  • (ii)
    Age (in years)
    14 - 22
    22 - 30
    30 - 38
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    No. of students
    48
    45
    18
    6
    45
    7
    9
  • (iii)
    Age (in years)
    14 - 22
    22 - 30
    30 - 38
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    No. of students
    48
    18
    45
    6
    45
    7
    9
  • (iv)
    Age (in years)
    14 - 22
    22 - 30
    30 - 38
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    No. of students
    48
    9
    45
    6
    45
    7
    18
  • (v)
    Age (in years)
    14 - 22
    22 - 30
    30 - 38
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    No. of students
    48
    18
    48
    6
    45
    7
    9
Question 10
10.
    • Ages of 211 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    73 - 81
    No. of students
    48
    14
    16
    23
    35
    40
    32
  • (ii)
    Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    73 - 81
    No. of students
    48
    14
    18
    26
    35
    40
    32
  • (iii)
    Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    73 - 81
    No. of students
    48
    16
    14
    26
    35
    40
    32
  • (iv)
    Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    73 - 81
    No. of students
    48
    14
    16
    26
    35
    40
    32
  • (v)
    Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    73 - 81
    No. of students
    48
    32
    16
    26
    35
    40
    14
Question 11
11.
    • Scores of 225 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    86 - 93
    93 - 100
    100 - 107
    107 - 114
    114 - 121
    121 - 128
    128 - 135
    135 - 142
    No. of students
    44
    28
    21
    8
    14
    33
    45
    27
  • (ii)
    Score
    86 - 93
    93 - 100
    100 - 107
    107 - 114
    114 - 121
    121 - 128
    128 - 135
    135 - 142
    No. of students
    44
    28
    26
    8
    16
    33
    45
    27
  • (iii)
    Score
    86 - 93
    93 - 100
    100 - 107
    107 - 114
    114 - 121
    121 - 128
    128 - 135
    135 - 142
    No. of students
    44
    27
    26
    8
    14
    33
    45
    28
  • (iv)
    Score
    86 - 93
    93 - 100
    100 - 107
    107 - 114
    114 - 121
    121 - 128
    128 - 135
    135 - 142
    No. of students
    44
    28
    26
    8
    14
    33
    45
    27
  • (v)
    Score
    86 - 93
    93 - 100
    100 - 107
    107 - 114
    114 - 121
    121 - 128
    128 - 135
    135 - 142
    No. of students
    44
    28
    8
    26
    14
    33
    45
    27
Question 12
12.
    • Scores of 190 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    81 - 91
    92 - 102
    103 - 113
    114 - 124
    125 - 135
    No. of students
    16
    44
    49
    39
    42
  • (ii)
    Score
    81 - 91
    92 - 102
    103 - 113
    114 - 124
    125 - 135
    No. of students
    16
    49
    42
    39
    44
  • (iii)
    Score
    81 - 91
    92 - 102
    103 - 113
    114 - 124
    125 - 135
    No. of students
    16
    42
    53
    39
    44
  • (iv)
    Score
    81 - 91
    92 - 102
    103 - 113
    114 - 124
    125 - 135
    No. of students
    16
    47
    49
    39
    44
  • (v)
    Score
    81 - 91
    92 - 102
    103 - 113
    114 - 124
    125 - 135
    No. of students
    16
    42
    49
    39
    44
Question 13
13.
    • Rainfall of 132 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of days
    37
    27
    47
    10
    11
  • (ii)
    Rainfall (in mm)
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of days
    37
    51
    27
    10
    11
  • (iii)
    Rainfall (in mm)
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of days
    37
    47
    24
    10
    11
  • (iv)
    Rainfall (in mm)
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of days
    37
    11
    27
    10
    47
  • (v)
    Rainfall (in mm)
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of days
    37
    47
    27
    10
    11
Question 14
14.
    • Rainfall of 225 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    No. of days
    7
    22
    7
    41
    39
    23
    37
    49
  • (ii)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    No. of days
    7
    22
    7
    41
    42
    23
    37
    49
  • (iii)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    No. of days
    7
    22
    41
    7
    39
    23
    37
    49
  • (iv)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    No. of days
    7
    49
    7
    41
    39
    23
    37
    22
  • (v)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    No. of days
    7
    22
    5
    41
    39
    23
    37
    49
Question 15
15.
    • Temperatures of 119 days (in °C) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Temperature (in degree)
    31 - 36
    36 - 41
    41 - 46
    46 - 51
    51 - 56
    No. of days
    43
    22
    19
    16
    19
  • (ii)
    Temperature (in degree)
    31 - 36
    36 - 41
    41 - 46
    46 - 51
    51 - 56
    No. of days
    43
    19
    22
    16
    22
  • (iii)
    Temperature (in degree)
    31 - 36
    36 - 41
    41 - 46
    46 - 51
    51 - 56
    No. of days
    43
    19
    19
    16
    22
  • (iv)
    Temperature (in degree)
    31 - 36
    36 - 41
    41 - 46
    46 - 51
    51 - 56
    No. of days
    43
    17
    19
    16
    22
Question 16
16.
    • Temperatures of 187 days (in °C) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Temperature (in degree)
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of days
    48
    34
    17
    39
    16
    33
  • (ii)
    Temperature (in degree)
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of days
    48
    17
    29
    39
    16
    33
  • (iii)
    Temperature (in degree)
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of days
    48
    17
    34
    42
    16
    33
  • (iv)
    Temperature (in degree)
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of days
    48
    17
    34
    39
    16
    33
  • (v)
    Temperature (in degree)
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of days
    48
    33
    34
    39
    16
    17
Question 17
17.
    • Weights of 148 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    55 - 61
    61 - 67
    67 - 73
    73 - 79
    79 - 85
    No. of students
    19
    41
    42
    5
    39
  • (ii)
    Weight (in kg)
    55 - 61
    61 - 67
    67 - 73
    73 - 79
    79 - 85
    No. of students
    19
    37
    44
    5
    39
  • (iii)
    Weight (in kg)
    55 - 61
    61 - 67
    67 - 73
    73 - 79
    79 - 85
    No. of students
    19
    41
    44
    5
    39
  • (iv)
    Weight (in kg)
    55 - 61
    61 - 67
    67 - 73
    73 - 79
    79 - 85
    No. of students
    19
    39
    44
    5
    41
  • (v)
    Weight (in kg)
    55 - 61
    61 - 67
    67 - 73
    73 - 79
    79 - 85
    No. of students
    19
    44
    41
    5
    39
Question 18
18.
    • Weights of 148 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    55 - 65
    66 - 76
    77 - 87
    88 - 98
    99 - 109
    No. of students
    11
    47
    23
    26
    41
  • (ii)
    Weight (in kg)
    55 - 65
    66 - 76
    77 - 87
    88 - 98
    99 - 109
    No. of students
    11
    41
    23
    26
    47
  • (iii)
    Weight (in kg)
    55 - 65
    66 - 76
    77 - 87
    88 - 98
    99 - 109
    No. of students
    11
    23
    41
    26
    47
  • (iv)
    Weight (in kg)
    55 - 65
    66 - 76
    77 - 87
    88 - 98
    99 - 109
    No. of students
    11
    41
    26
    26
    47
  • (v)
    Weight (in kg)
    55 - 65
    66 - 76
    77 - 87
    88 - 98
    99 - 109
    No. of students
    11
    45
    23
    26
    47
Question 19
19.
    • Daily wages of 247 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    250 - 259
    259 - 268
    268 - 277
    277 - 286
    286 - 295
    295 - 304
    304 - 313
    313 - 322
    No. of labourers
    46
    50
    29
    36
    30
    7
    38
    11
  • (ii)
    Daily wage (in Rs)
    250 - 259
    259 - 268
    268 - 277
    277 - 286
    286 - 295
    295 - 304
    304 - 313
    313 - 322
    No. of labourers
    46
    50
    33
    36
    30
    7
    38
    11
  • (iii)
    Daily wage (in Rs)
    250 - 259
    259 - 268
    268 - 277
    277 - 286
    286 - 295
    295 - 304
    304 - 313
    313 - 322
    No. of labourers
    46
    50
    36
    29
    30
    7
    38
    11
  • (iv)
    Daily wage (in Rs)
    250 - 259
    259 - 268
    268 - 277
    277 - 286
    286 - 295
    295 - 304
    304 - 313
    313 - 322
    No. of labourers
    46
    50
    29
    36
    25
    7
    38
    11
  • (v)
    Daily wage (in Rs)
    250 - 259
    259 - 268
    268 - 277
    277 - 286
    286 - 295
    295 - 304
    304 - 313
    313 - 322
    No. of labourers
    46
    11
    29
    36
    30
    7
    38
    50
Question 20
20.
    • Daily wages of 197 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    252 - 259
    260 - 267
    268 - 275
    276 - 283
    284 - 291
    292 - 299
    300 - 307
    No. of labourers
    28
    36
    9
    30
    28
    34
    35
  • (ii)
    Daily wage (in Rs)
    252 - 259
    260 - 267
    268 - 275
    276 - 283
    284 - 291
    292 - 299
    300 - 307
    No. of labourers
    28
    36
    13
    27
    28
    34
    35
  • (iii)
    Daily wage (in Rs)
    252 - 259
    260 - 267
    268 - 275
    276 - 283
    284 - 291
    292 - 299
    300 - 307
    No. of labourers
    28
    9
    36
    27
    28
    34
    35
  • (iv)
    Daily wage (in Rs)
    252 - 259
    260 - 267
    268 - 275
    276 - 283
    284 - 291
    292 - 299
    300 - 307
    No. of labourers
    28
    35
    9
    27
    28
    34
    36
  • (v)
    Daily wage (in Rs)
    252 - 259
    260 - 267
    268 - 275
    276 - 283
    284 - 291
    292 - 299
    300 - 307
    No. of labourers
    28
    36
    9
    27
    28
    34
    35
    Assignment Key

  •  1) (i)
  •  2) (ii)
  •  3) (iv)
  •  4) (iv)
  •  5) (i)
  •  6) (iv)
  •  7) (i)
  •  8) (ii)
  •  9) (iii)
  •  10) (iv)
  •  11) (iv)
  •  12) (v)
  •  13) (v)
  •  14) (i)
  •  15) (iii)
  •  16) (iv)
  •  17) (iii)
  •  18) (ii)
  •  19) (i)
  •  20) (v)