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
    20 - 30
    31 - 41
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    Frequency
    38
    27
    23
    46
    40
    21
  • (ii)
    Class-Interval
    20 - 30
    31 - 41
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    Frequency
    38
    27
    19
    46
    40
    21
  • (iii)
    Class-Interval
    20 - 30
    31 - 41
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    Frequency
    38
    27
    19
    48
    40
    21
  • (iv)
    Class-Interval
    20 - 30
    31 - 41
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    Frequency
    38
    19
    27
    46
    40
    21
  • (v)
    Class-Interval
    20 - 30
    31 - 41
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    Frequency
    38
    21
    19
    46
    40
    27
Question 2
2.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Class-Interval
    50 - 54
    54 - 58
    58 - 62
    62 - 66
    66 - 70
    70 - 74
    74 - 78
    Frequency
    33
    19
    12
    31
    18
    33
    18
  • (ii)
    Class-Interval
    50 - 54
    54 - 58
    58 - 62
    62 - 66
    66 - 70
    70 - 74
    74 - 78
    Frequency
    33
    19
    14
    31
    18
    33
    18
  • (iii)
    Class-Interval
    50 - 54
    54 - 58
    58 - 62
    62 - 66
    66 - 70
    70 - 74
    74 - 78
    Frequency
    33
    12
    19
    31
    18
    33
    18
  • (iv)
    Class-Interval
    50 - 54
    54 - 58
    58 - 62
    62 - 66
    66 - 70
    70 - 74
    74 - 78
    Frequency
    33
    19
    12
    33
    18
    33
    18
  • (v)
    Class-Interval
    50 - 54
    54 - 58
    58 - 62
    62 - 66
    66 - 70
    70 - 74
    74 - 78
    Frequency
    33
    18
    12
    31
    18
    33
    19
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)
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    No. of heart patients
    11
    24
    10
    24
    21
  • (ii)
    Age (in years)
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    No. of heart patients
    11
    21
    5
    24
    24
  • (iii)
    Age (in years)
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    No. of heart patients
    11
    10
    21
    24
    24
  • (iv)
    Age (in years)
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    No. of heart patients
    11
    21
    10
    24
    24
  • (v)
    Age (in years)
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    No. of heart patients
    11
    16
    10
    24
    24
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)
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    No. of heart patients
    13
    18
    17
    17
    25
  • (ii)
    Age (in years)
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    No. of heart patients
    13
    13
    20
    17
    25
  • (iii)
    Age (in years)
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    No. of heart patients
    13
    25
    17
    17
    13
  • (iv)
    Age (in years)
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    No. of heart patients
    13
    13
    17
    17
    25
  • (v)
    Age (in years)
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    No. of heart patients
    13
    17
    13
    17
    25
Question 5
5.
    • Heights of 156 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    120 - 125
    125 - 130
    130 - 135
    135 - 140
    140 - 145
    145 - 150
    150 - 155
    155 - 160
    No. of students
    6
    32
    50
    15
    19
    13
    15
    6
  • (ii)
    Height (in cm)
    120 - 125
    125 - 130
    130 - 135
    135 - 140
    140 - 145
    145 - 150
    150 - 155
    155 - 160
    No. of students
    6
    6
    50
    15
    19
    13
    15
    32
  • (iii)
    Height (in cm)
    120 - 125
    125 - 130
    130 - 135
    135 - 140
    140 - 145
    145 - 150
    150 - 155
    155 - 160
    No. of students
    6
    32
    50
    15
    16
    13
    15
    6
  • (iv)
    Height (in cm)
    120 - 125
    125 - 130
    130 - 135
    135 - 140
    140 - 145
    145 - 150
    150 - 155
    155 - 160
    No. of students
    6
    32
    15
    50
    19
    13
    15
    6
  • (v)
    Height (in cm)
    120 - 125
    125 - 130
    130 - 135
    135 - 140
    140 - 145
    145 - 150
    150 - 155
    155 - 160
    No. of students
    6
    32
    53
    15
    19
    13
    15
    6
Question 6
6.
    • Heights of 156 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    127 - 132
    133 - 138
    139 - 144
    145 - 150
    151 - 156
    157 - 162
    No. of students
    27
    20
    11
    41
    19
    38
  • (ii)
    Height (in cm)
    127 - 132
    133 - 138
    139 - 144
    145 - 150
    151 - 156
    157 - 162
    No. of students
    27
    38
    11
    38
    19
    20
  • (iii)
    Height (in cm)
    127 - 132
    133 - 138
    139 - 144
    145 - 150
    151 - 156
    157 - 162
    No. of students
    27
    11
    38
    41
    19
    20
  • (iv)
    Height (in cm)
    127 - 132
    133 - 138
    139 - 144
    145 - 150
    151 - 156
    157 - 162
    No. of students
    27
    38
    14
    41
    19
    20
  • (v)
    Height (in cm)
    127 - 132
    133 - 138
    139 - 144
    145 - 150
    151 - 156
    157 - 162
    No. of students
    27
    38
    11
    41
    19
    20
Question 7
7.
    • Heights of 178 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    62 - 67
    67 - 72
    72 - 77
    77 - 82
    82 - 87
    87 - 92
    No. of plants
    50
    6
    6
    49
    27
    40
  • (ii)
    Height (in cm)
    62 - 67
    67 - 72
    72 - 77
    77 - 82
    82 - 87
    87 - 92
    No. of plants
    50
    6
    11
    49
    27
    40
  • (iii)
    Height (in cm)
    62 - 67
    67 - 72
    72 - 77
    77 - 82
    82 - 87
    87 - 92
    No. of plants
    50
    6
    6
    53
    27
    40
  • (iv)
    Height (in cm)
    62 - 67
    67 - 72
    72 - 77
    77 - 82
    82 - 87
    87 - 92
    No. of plants
    50
    40
    6
    49
    27
    6
Question 8
8.
    • Heights of 129 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    No. of plants
    11
    42
    25
    13
    38
  • (ii)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    No. of plants
    11
    38
    25
    13
    42
  • (iii)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    No. of plants
    11
    38
    27
    13
    42
  • (iv)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    No. of plants
    11
    25
    38
    13
    42
  • (v)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    No. of plants
    11
    41
    25
    13
    42
Question 9
9.
    • Ages of 271 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    No. of students
    40
    21
    45
    43
    28
    24
    43
    27
  • (ii)
    Age (in years)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    No. of students
    40
    27
    45
    43
    28
    24
    43
    21
  • (iii)
    Age (in years)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    No. of students
    40
    27
    45
    43
    26
    24
    43
    21
  • (iv)
    Age (in years)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    No. of students
    40
    27
    43
    45
    28
    24
    43
    21
  • (v)
    Age (in years)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    No. of students
    40
    27
    50
    43
    28
    24
    43
    21
Question 10
10.
    • Ages of 105 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    No. of students
    36
    16
    5
    23
    25
  • (ii)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    No. of students
    36
    25
    16
    23
    5
  • (iii)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    No. of students
    36
    5
    16
    23
    25
  • (iv)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    No. of students
    36
    5
    20
    23
    25
  • (v)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    No. of students
    36
    3
    16
    23
    25
Question 11
11.
    • Scores of 203 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    80 - 88
    88 - 96
    96 - 104
    104 - 112
    112 - 120
    120 - 128
    128 - 136
    136 - 144
    No. of students
    21
    17
    36
    5
    37
    31
    43
    11
  • (ii)
    Score
    80 - 88
    88 - 96
    96 - 104
    104 - 112
    112 - 120
    120 - 128
    128 - 136
    136 - 144
    No. of students
    21
    17
    5
    36
    39
    31
    43
    11
  • (iii)
    Score
    80 - 88
    88 - 96
    96 - 104
    104 - 112
    112 - 120
    120 - 128
    128 - 136
    136 - 144
    No. of students
    21
    17
    39
    5
    39
    31
    43
    11
  • (iv)
    Score
    80 - 88
    88 - 96
    96 - 104
    104 - 112
    112 - 120
    120 - 128
    128 - 136
    136 - 144
    No. of students
    21
    17
    36
    5
    39
    31
    43
    11
  • (v)
    Score
    80 - 88
    88 - 96
    96 - 104
    104 - 112
    112 - 120
    120 - 128
    128 - 136
    136 - 144
    No. of students
    21
    11
    36
    5
    39
    31
    43
    17
Question 12
12.
    • Scores of 246 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    82 - 90
    91 - 99
    100 - 108
    109 - 117
    118 - 126
    127 - 135
    136 - 144
    145 - 153
    No. of students
    48
    34
    11
    37
    16
    42
    42
    16
  • (ii)
    Score
    82 - 90
    91 - 99
    100 - 108
    109 - 117
    118 - 126
    127 - 135
    136 - 144
    145 - 153
    No. of students
    48
    34
    37
    11
    16
    42
    42
    16
  • (iii)
    Score
    82 - 90
    91 - 99
    100 - 108
    109 - 117
    118 - 126
    127 - 135
    136 - 144
    145 - 153
    No. of students
    48
    34
    39
    11
    16
    42
    42
    16
  • (iv)
    Score
    82 - 90
    91 - 99
    100 - 108
    109 - 117
    118 - 126
    127 - 135
    136 - 144
    145 - 153
    No. of students
    48
    34
    37
    11
    19
    42
    42
    16
  • (v)
    Score
    82 - 90
    91 - 99
    100 - 108
    109 - 117
    118 - 126
    127 - 135
    136 - 144
    145 - 153
    No. of students
    48
    16
    37
    11
    16
    42
    42
    34
Question 13
13.
    • Rainfall of 124 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    No. of days
    50
    9
    23
    21
    21
  • (ii)
    Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    No. of days
    50
    9
    21
    21
    21
  • (iii)
    Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    No. of days
    50
    13
    23
    21
    21
  • (iv)
    Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    No. of days
    50
    23
    9
    21
    21
  • (v)
    Rainfall (in mm)
    7 - 12
    12 - 17
    17 - 22
    22 - 27
    27 - 32
    No. of days
    50
    21
    23
    21
    9
Question 14
14.
    • Rainfall of 187 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    7 - 16
    17 - 26
    27 - 36
    37 - 46
    47 - 56
    57 - 66
    67 - 76
    No. of days
    31
    22
    32
    44
    17
    14
    27
  • (ii)
    Rainfall (in mm)
    7 - 16
    17 - 26
    27 - 36
    37 - 46
    47 - 56
    57 - 66
    67 - 76
    No. of days
    31
    32
    22
    42
    17
    14
    27
  • (iii)
    Rainfall (in mm)
    7 - 16
    17 - 26
    27 - 36
    37 - 46
    47 - 56
    57 - 66
    67 - 76
    No. of days
    31
    32
    22
    44
    17
    14
    27
  • (iv)
    Rainfall (in mm)
    7 - 16
    17 - 26
    27 - 36
    37 - 46
    47 - 56
    57 - 66
    67 - 76
    No. of days
    31
    27
    22
    44
    17
    14
    32
  • (v)
    Rainfall (in mm)
    7 - 16
    17 - 26
    27 - 36
    37 - 46
    47 - 56
    57 - 66
    67 - 76
    No. of days
    31
    32
    19
    44
    17
    14
    27
Question 15
15.
    • Temperatures of 189 days (in °C) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Temperature (in degree)
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    No. of days
    25
    23
    16
    29
    48
    48
  • (ii)
    Temperature (in degree)
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    No. of days
    25
    48
    16
    25
    48
    23
  • (iii)
    Temperature (in degree)
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    No. of days
    25
    48
    12
    29
    48
    23
  • (iv)
    Temperature (in degree)
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    No. of days
    25
    16
    48
    29
    48
    23
  • (v)
    Temperature (in degree)
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    No. of days
    25
    48
    16
    29
    48
    23
Question 16
16.
    • Temperatures of 135 days (in °C) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Temperature (in degree)
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    95 - 104
    No. of days
    38
    8
    27
    10
    10
    27
    20
  • (ii)
    Temperature (in degree)
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    95 - 104
    No. of days
    38
    8
    22
    8
    10
    27
    20
  • (iii)
    Temperature (in degree)
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    95 - 104
    No. of days
    38
    8
    22
    10
    10
    27
    20
  • (iv)
    Temperature (in degree)
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    95 - 104
    No. of days
    38
    20
    22
    10
    10
    27
    8
  • (v)
    Temperature (in degree)
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    95 - 104
    No. of days
    38
    22
    8
    10
    10
    27
    20
Question 17
17.
    • Weights of 200 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    59 - 66
    66 - 73
    73 - 80
    80 - 87
    87 - 94
    94 - 101
    No. of students
    40
    50
    7
    22
    37
    44
  • (ii)
    Weight (in kg)
    59 - 66
    66 - 73
    73 - 80
    80 - 87
    87 - 94
    94 - 101
    No. of students
    40
    7
    50
    26
    37
    44
  • (iii)
    Weight (in kg)
    59 - 66
    66 - 73
    73 - 80
    80 - 87
    87 - 94
    94 - 101
    No. of students
    40
    7
    50
    22
    37
    44
  • (iv)
    Weight (in kg)
    59 - 66
    66 - 73
    73 - 80
    80 - 87
    87 - 94
    94 - 101
    No. of students
    40
    44
    50
    22
    37
    7
  • (v)
    Weight (in kg)
    59 - 66
    66 - 73
    73 - 80
    80 - 87
    87 - 94
    94 - 101
    No. of students
    40
    7
    55
    22
    37
    44
Question 18
18.
    • Weights of 252 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    56 - 64
    65 - 73
    74 - 82
    83 - 91
    92 - 100
    101 - 109
    110 - 118
    119 - 127
    No. of students
    32
    6
    33
    16
    40
    45
    43
    37
  • (ii)
    Weight (in kg)
    56 - 64
    65 - 73
    74 - 82
    83 - 91
    92 - 100
    101 - 109
    110 - 118
    119 - 127
    No. of students
    32
    6
    33
    16
    42
    45
    43
    37
  • (iii)
    Weight (in kg)
    56 - 64
    65 - 73
    74 - 82
    83 - 91
    92 - 100
    101 - 109
    110 - 118
    119 - 127
    No. of students
    32
    6
    37
    16
    40
    45
    43
    37
  • (iv)
    Weight (in kg)
    56 - 64
    65 - 73
    74 - 82
    83 - 91
    92 - 100
    101 - 109
    110 - 118
    119 - 127
    No. of students
    32
    6
    16
    33
    40
    45
    43
    37
  • (v)
    Weight (in kg)
    56 - 64
    65 - 73
    74 - 82
    83 - 91
    92 - 100
    101 - 109
    110 - 118
    119 - 127
    No. of students
    32
    37
    33
    16
    40
    45
    43
    6
Question 19
19.
    • Daily wages of 228 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    273 - 279
    279 - 285
    285 - 291
    291 - 297
    297 - 303
    303 - 309
    309 - 315
    No. of labourers
    17
    36
    44
    36
    46
    29
    25
  • (ii)
    Daily wage (in Rs)
    273 - 279
    279 - 285
    285 - 291
    291 - 297
    297 - 303
    303 - 309
    309 - 315
    No. of labourers
    17
    25
    39
    36
    46
    29
    36
  • (iii)
    Daily wage (in Rs)
    273 - 279
    279 - 285
    285 - 291
    291 - 297
    297 - 303
    303 - 309
    309 - 315
    No. of labourers
    17
    36
    39
    36
    46
    29
    25
  • (iv)
    Daily wage (in Rs)
    273 - 279
    279 - 285
    285 - 291
    291 - 297
    297 - 303
    303 - 309
    309 - 315
    No. of labourers
    17
    36
    39
    32
    46
    29
    25
  • (v)
    Daily wage (in Rs)
    273 - 279
    279 - 285
    285 - 291
    291 - 297
    297 - 303
    303 - 309
    309 - 315
    No. of labourers
    17
    39
    36
    36
    46
    29
    25
Question 20
20.
    • Daily wages of 214 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    261 - 268
    269 - 276
    277 - 284
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    No. of labourers
    34
    28
    5
    43
    6
    32
    18
    48
  • (ii)
    Daily wage (in Rs)
    261 - 268
    269 - 276
    277 - 284
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    No. of labourers
    34
    28
    43
    5
    6
    32
    18
    48
  • (iii)
    Daily wage (in Rs)
    261 - 268
    269 - 276
    277 - 284
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    No. of labourers
    34
    48
    5
    43
    6
    32
    18
    28
  • (iv)
    Daily wage (in Rs)
    261 - 268
    269 - 276
    277 - 284
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    No. of labourers
    34
    28
    5
    43
    3
    32
    18
    48
  • (v)
    Daily wage (in Rs)
    261 - 268
    269 - 276
    277 - 284
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    No. of labourers
    34
    28
    1
    43
    6
    32
    18
    48
    Assignment Key

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