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
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    Frequency
    38
    49
    29
    24
    21
    15
  • (ii)
    Class-Interval
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    Frequency
    38
    29
    49
    29
    21
    15
  • (iii)
    Class-Interval
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    Frequency
    38
    15
    49
    24
    21
    29
  • (iv)
    Class-Interval
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    Frequency
    38
    29
    49
    24
    21
    15
  • (v)
    Class-Interval
    42 - 52
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    Frequency
    38
    29
    47
    24
    21
    15
Question 2
2.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Class-Interval
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    Frequency
    49
    48
    37
    34
    35
  • (ii)
    Class-Interval
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    Frequency
    49
    41
    48
    34
    35
  • (iii)
    Class-Interval
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    Frequency
    49
    37
    48
    34
    35
  • (iv)
    Class-Interval
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    Frequency
    49
    37
    46
    34
    35
  • (v)
    Class-Interval
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    Frequency
    49
    35
    48
    34
    37
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)
    31 - 35
    36 - 40
    41 - 45
    46 - 50
    51 - 55
    56 - 60
    No. of heart patients
    21
    15
    13
    33
    8
    22
  • (ii)
    Age (in years)
    31 - 35
    36 - 40
    41 - 45
    46 - 50
    51 - 55
    56 - 60
    No. of heart patients
    21
    22
    13
    30
    8
    15
  • (iii)
    Age (in years)
    31 - 35
    36 - 40
    41 - 45
    46 - 50
    51 - 55
    56 - 60
    No. of heart patients
    21
    15
    13
    30
    8
    22
  • (iv)
    Age (in years)
    31 - 35
    36 - 40
    41 - 45
    46 - 50
    51 - 55
    56 - 60
    No. of heart patients
    21
    13
    15
    30
    8
    22
  • (v)
    Age (in years)
    31 - 35
    36 - 40
    41 - 45
    46 - 50
    51 - 55
    56 - 60
    No. of heart patients
    21
    15
    16
    30
    8
    22
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)
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    No. of heart patients
    13
    13
    16
    28
    8
  • (ii)
    Age (in years)
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    No. of heart patients
    13
    8
    16
    28
    9
  • (iii)
    Age (in years)
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    No. of heart patients
    13
    9
    14
    28
    8
  • (iv)
    Age (in years)
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    No. of heart patients
    13
    16
    9
    28
    8
  • (v)
    Age (in years)
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    No. of heart patients
    13
    9
    16
    28
    8
Question 5
5.
    • Heights of 214 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    123 - 133
    133 - 143
    143 - 153
    153 - 163
    163 - 173
    No. of students
    40
    49
    38
    44
    45
  • (ii)
    Height (in cm)
    123 - 133
    133 - 143
    143 - 153
    153 - 163
    163 - 173
    No. of students
    40
    52
    36
    44
    45
  • (iii)
    Height (in cm)
    123 - 133
    133 - 143
    143 - 153
    153 - 163
    163 - 173
    No. of students
    40
    36
    49
    44
    45
  • (iv)
    Height (in cm)
    123 - 133
    133 - 143
    143 - 153
    153 - 163
    163 - 173
    No. of students
    40
    45
    36
    44
    49
  • (v)
    Height (in cm)
    123 - 133
    133 - 143
    143 - 153
    153 - 163
    163 - 173
    No. of students
    40
    49
    36
    44
    45
Question 6
6.
    • Heights of 158 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    No. of students
    41
    49
    39
    8
    19
  • (ii)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    No. of students
    41
    49
    41
    8
    19
  • (iii)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    No. of students
    41
    41
    49
    8
    19
  • (iv)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    No. of students
    41
    46
    41
    8
    19
  • (v)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    No. of students
    41
    19
    41
    8
    49
Question 7
7.
    • Heights of 174 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    No. of plants
    37
    14
    43
    38
    25
    17
  • (ii)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    No. of plants
    37
    43
    14
    38
    25
    17
  • (iii)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    No. of plants
    37
    17
    43
    38
    25
    14
  • (iv)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    No. of plants
    37
    14
    43
    36
    25
    17
  • (v)
    Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    No. of plants
    37
    14
    38
    38
    25
    17
Question 8
8.
    • Heights of 152 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    103 - 111
    No. of plants
    35
    18
    35
    29
    11
    21
  • (ii)
    Height (in cm)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    103 - 111
    No. of plants
    35
    18
    38
    29
    11
    21
  • (iii)
    Height (in cm)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    103 - 111
    No. of plants
    35
    38
    18
    29
    11
    21
  • (iv)
    Height (in cm)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    103 - 111
    No. of plants
    35
    18
    38
    32
    11
    21
  • (v)
    Height (in cm)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    103 - 111
    No. of plants
    35
    21
    38
    29
    11
    18
Question 9
9.
    • Ages of 206 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    No. of students
    39
    37
    28
    32
    23
    47
  • (ii)
    Age (in years)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    No. of students
    39
    47
    28
    32
    23
    37
  • (iii)
    Age (in years)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    No. of students
    39
    28
    37
    32
    23
    47
  • (iv)
    Age (in years)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    No. of students
    39
    37
    28
    27
    23
    47
  • (v)
    Age (in years)
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    No. of students
    39
    37
    32
    32
    23
    47
Question 10
10.
    • Ages of 228 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    45 - 50
    51 - 56
    57 - 62
    No. of students
    8
    49
    18
    47
    41
    29
    11
    25
  • (ii)
    Age (in years)
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    45 - 50
    51 - 56
    57 - 62
    No. of students
    8
    49
    47
    18
    46
    29
    11
    25
  • (iii)
    Age (in years)
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    45 - 50
    51 - 56
    57 - 62
    No. of students
    8
    25
    47
    18
    41
    29
    11
    49
  • (iv)
    Age (in years)
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    45 - 50
    51 - 56
    57 - 62
    No. of students
    8
    49
    43
    18
    41
    29
    11
    25
  • (v)
    Age (in years)
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    45 - 50
    51 - 56
    57 - 62
    No. of students
    8
    49
    47
    18
    41
    29
    11
    25
Question 11
11.
    • Scores of 211 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    No. of students
    46
    13
    28
    34
    45
    45
  • (ii)
    Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    No. of students
    46
    13
    25
    34
    45
    45
  • (iii)
    Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    No. of students
    46
    28
    13
    34
    45
    45
  • (iv)
    Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    No. of students
    46
    45
    28
    34
    45
    13
  • (v)
    Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    No. of students
    46
    13
    28
    36
    45
    45
Question 12
12.
    • Scores of 165 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    86 - 95
    96 - 105
    106 - 115
    116 - 125
    126 - 135
    136 - 145
    146 - 155
    No. of students
    18
    13
    48
    26
    40
    5
    20
  • (ii)
    Score
    86 - 95
    96 - 105
    106 - 115
    116 - 125
    126 - 135
    136 - 145
    146 - 155
    No. of students
    18
    20
    48
    21
    40
    5
    13
  • (iii)
    Score
    86 - 95
    96 - 105
    106 - 115
    116 - 125
    126 - 135
    136 - 145
    146 - 155
    No. of students
    18
    48
    13
    21
    40
    5
    20
  • (iv)
    Score
    86 - 95
    96 - 105
    106 - 115
    116 - 125
    126 - 135
    136 - 145
    146 - 155
    No. of students
    18
    13
    45
    21
    40
    5
    20
  • (v)
    Score
    86 - 95
    96 - 105
    106 - 115
    116 - 125
    126 - 135
    136 - 145
    146 - 155
    No. of students
    18
    13
    48
    21
    40
    5
    20
Question 13
13.
    • Rainfall of 264 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    9 - 19
    19 - 29
    29 - 39
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    No. of days
    46
    6
    10
    39
    43
    35
    47
    38
  • (ii)
    Rainfall (in mm)
    9 - 19
    19 - 29
    29 - 39
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    No. of days
    46
    6
    5
    39
    43
    35
    47
    38
  • (iii)
    Rainfall (in mm)
    9 - 19
    19 - 29
    29 - 39
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    No. of days
    46
    6
    39
    10
    43
    35
    47
    38
  • (iv)
    Rainfall (in mm)
    9 - 19
    19 - 29
    29 - 39
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    No. of days
    46
    6
    10
    39
    48
    35
    47
    38
  • (v)
    Rainfall (in mm)
    9 - 19
    19 - 29
    29 - 39
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    No. of days
    46
    38
    10
    39
    43
    35
    47
    6
Question 14
14.
    • Rainfall of 196 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    6 - 13
    14 - 21
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    No. of days
    43
    10
    34
    50
    18
    36
  • (ii)
    Rainfall (in mm)
    6 - 13
    14 - 21
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    No. of days
    43
    10
    39
    50
    18
    36
  • (iii)
    Rainfall (in mm)
    6 - 13
    14 - 21
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    No. of days
    43
    10
    39
    46
    18
    36
  • (iv)
    Rainfall (in mm)
    6 - 13
    14 - 21
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    No. of days
    43
    36
    39
    50
    18
    10
  • (v)
    Rainfall (in mm)
    6 - 13
    14 - 21
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    No. of days
    43
    39
    10
    50
    18
    36
Question 15
15.
    • Temperatures of 244 days (in °C) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Temperature (in degree)
    34 - 40
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    No. of days
    30
    50
    42
    25
    45
    47
  • (ii)
    Temperature (in degree)
    34 - 40
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    No. of days
    30
    50
    47
    29
    45
    47
  • (iii)
    Temperature (in degree)
    34 - 40
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    No. of days
    30
    47
    47
    25
    45
    50
  • (iv)
    Temperature (in degree)
    34 - 40
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    No. of days
    30
    50
    47
    25
    45
    47
  • (v)
    Temperature (in degree)
    34 - 40
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    No. of days
    30
    47
    50
    25
    45
    47
Question 16
16.
    • Temperatures of 220 days (in °C) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Temperature (in degree)
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    85 - 95
    96 - 106
    107 - 117
    No. of days
    17
    30
    45
    19
    29
    27
    11
    38
  • (ii)
    Temperature (in degree)
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    85 - 95
    96 - 106
    107 - 117
    No. of days
    17
    38
    45
    19
    33
    27
    11
    30
  • (iii)
    Temperature (in degree)
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    85 - 95
    96 - 106
    107 - 117
    No. of days
    17
    30
    19
    45
    33
    27
    11
    38
  • (iv)
    Temperature (in degree)
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    85 - 95
    96 - 106
    107 - 117
    No. of days
    17
    30
    42
    19
    33
    27
    11
    38
  • (v)
    Temperature (in degree)
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    85 - 95
    96 - 106
    107 - 117
    No. of days
    17
    30
    45
    19
    33
    27
    11
    38
Question 17
17.
    • Weights of 139 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    87 - 96
    No. of students
    42
    11
    44
    17
    25
  • (ii)
    Weight (in kg)
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    87 - 96
    No. of students
    42
    44
    25
    17
    11
  • (iii)
    Weight (in kg)
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    87 - 96
    No. of students
    42
    25
    44
    17
    11
  • (iv)
    Weight (in kg)
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    87 - 96
    No. of students
    42
    28
    44
    17
    11
  • (v)
    Weight (in kg)
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    87 - 96
    No. of students
    42
    25
    40
    17
    11
Question 18
18.
    • Weights of 211 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    78 - 83
    84 - 89
    90 - 95
    No. of students
    48
    19
    38
    28
    16
    6
    35
    25
  • (ii)
    Weight (in kg)
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    78 - 83
    84 - 89
    90 - 95
    No. of students
    48
    25
    38
    28
    12
    6
    35
    19
  • (iii)
    Weight (in kg)
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    78 - 83
    84 - 89
    90 - 95
    No. of students
    48
    19
    40
    28
    12
    6
    35
    25
  • (iv)
    Weight (in kg)
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    78 - 83
    84 - 89
    90 - 95
    No. of students
    48
    19
    28
    38
    12
    6
    35
    25
  • (v)
    Weight (in kg)
    48 - 53
    54 - 59
    60 - 65
    66 - 71
    72 - 77
    78 - 83
    84 - 89
    90 - 95
    No. of students
    48
    19
    38
    28
    12
    6
    35
    25
Question 19
19.
    • Daily wages of 244 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    273 - 282
    282 - 291
    291 - 300
    300 - 309
    309 - 318
    318 - 327
    327 - 336
    No. of labourers
    40
    9
    35
    35
    50
    46
    26
  • (ii)
    Daily wage (in Rs)
    273 - 282
    282 - 291
    291 - 300
    300 - 309
    309 - 318
    318 - 327
    327 - 336
    No. of labourers
    40
    9
    38
    40
    50
    46
    26
  • (iii)
    Daily wage (in Rs)
    273 - 282
    282 - 291
    291 - 300
    300 - 309
    309 - 318
    318 - 327
    327 - 336
    No. of labourers
    40
    38
    9
    35
    50
    46
    26
  • (iv)
    Daily wage (in Rs)
    273 - 282
    282 - 291
    291 - 300
    300 - 309
    309 - 318
    318 - 327
    327 - 336
    No. of labourers
    40
    26
    38
    35
    50
    46
    9
  • (v)
    Daily wage (in Rs)
    273 - 282
    282 - 291
    291 - 300
    300 - 309
    309 - 318
    318 - 327
    327 - 336
    No. of labourers
    40
    9
    38
    35
    50
    46
    26
Question 20
20.
    • Daily wages of 186 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    236 - 246
    247 - 257
    258 - 268
    269 - 279
    280 - 290
    291 - 301
    302 - 312
    313 - 323
    No. of labourers
    24
    24
    5
    24
    19
    48
    32
    5
  • (ii)
    Daily wage (in Rs)
    236 - 246
    247 - 257
    258 - 268
    269 - 279
    280 - 290
    291 - 301
    302 - 312
    313 - 323
    No. of labourers
    24
    24
    5
    24
    24
    48
    32
    5
  • (iii)
    Daily wage (in Rs)
    236 - 246
    247 - 257
    258 - 268
    269 - 279
    280 - 290
    291 - 301
    302 - 312
    313 - 323
    No. of labourers
    24
    24
    2
    24
    24
    48
    32
    5
  • (iv)
    Daily wage (in Rs)
    236 - 246
    247 - 257
    258 - 268
    269 - 279
    280 - 290
    291 - 301
    302 - 312
    313 - 323
    No. of labourers
    24
    24
    24
    5
    24
    48
    32
    5
  • (v)
    Daily wage (in Rs)
    236 - 246
    247 - 257
    258 - 268
    269 - 279
    280 - 290
    291 - 301
    302 - 312
    313 - 323
    No. of labourers
    24
    5
    5
    24
    24
    48
    32
    24
    Assignment Key

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