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
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    Frequency
    26
    24
    11
    16
    46
    31
  • (ii)
    Class-Interval
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    Frequency
    26
    11
    24
    21
    46
    31
  • (iii)
    Class-Interval
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    Frequency
    26
    11
    24
    16
    46
    31
  • (iv)
    Class-Interval
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    Frequency
    26
    31
    24
    16
    46
    11
  • (v)
    Class-Interval
    22 - 29
    30 - 37
    38 - 45
    46 - 53
    54 - 61
    62 - 69
    Frequency
    26
    11
    28
    16
    46
    31
Question 2
2.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Class-Interval
    32 - 36
    36 - 40
    40 - 44
    44 - 48
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    Frequency
    14
    41
    27
    22
    38
    36
    37
    23
  • (ii)
    Class-Interval
    32 - 36
    36 - 40
    40 - 44
    44 - 48
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    Frequency
    14
    41
    32
    22
    33
    36
    37
    23
  • (iii)
    Class-Interval
    32 - 36
    36 - 40
    40 - 44
    44 - 48
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    Frequency
    14
    23
    32
    22
    38
    36
    37
    41
  • (iv)
    Class-Interval
    32 - 36
    36 - 40
    40 - 44
    44 - 48
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    Frequency
    14
    41
    32
    22
    38
    36
    37
    23
  • (v)
    Class-Interval
    32 - 36
    36 - 40
    40 - 44
    44 - 48
    48 - 52
    52 - 56
    56 - 60
    60 - 64
    Frequency
    14
    41
    22
    32
    38
    36
    37
    23
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)
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of heart patients
    7
    19
    27
    10
    28
    11
    30
    24
  • (ii)
    Age (in years)
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of heart patients
    7
    19
    10
    27
    30
    11
    30
    24
  • (iii)
    Age (in years)
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of heart patients
    7
    24
    27
    10
    30
    11
    30
    19
  • (iv)
    Age (in years)
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of heart patients
    7
    19
    32
    10
    30
    11
    30
    24
  • (v)
    Age (in years)
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of heart patients
    7
    19
    27
    10
    30
    11
    30
    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)
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    No. of heart patients
    14
    25
    22
    15
    7
    29
    19
  • (ii)
    Age (in years)
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    No. of heart patients
    14
    25
    18
    15
    7
    29
    19
  • (iii)
    Age (in years)
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    No. of heart patients
    14
    25
    22
    18
    7
    29
    19
  • (iv)
    Age (in years)
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    No. of heart patients
    14
    22
    25
    15
    7
    29
    19
  • (v)
    Age (in years)
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    No. of heart patients
    14
    19
    22
    15
    7
    29
    25
Question 5
5.
    • Heights of 125 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    128 - 137
    137 - 146
    146 - 155
    155 - 164
    164 - 173
    No. of students
    32
    11
    26
    14
    42
  • (ii)
    Height (in cm)
    128 - 137
    137 - 146
    146 - 155
    155 - 164
    164 - 173
    No. of students
    32
    42
    11
    14
    26
  • (iii)
    Height (in cm)
    128 - 137
    137 - 146
    146 - 155
    155 - 164
    164 - 173
    No. of students
    32
    21
    11
    14
    42
  • (iv)
    Height (in cm)
    128 - 137
    137 - 146
    146 - 155
    155 - 164
    164 - 173
    No. of students
    32
    26
    11
    14
    42
  • (v)
    Height (in cm)
    128 - 137
    137 - 146
    146 - 155
    155 - 164
    164 - 173
    No. of students
    32
    26
    13
    14
    42
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 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    176 - 183
    184 - 191
    No. of students
    27
    32
    24
    38
    9
    10
    17
    6
  • (ii)
    Height (in cm)
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    176 - 183
    184 - 191
    No. of students
    27
    32
    24
    38
    12
    10
    17
    6
  • (iii)
    Height (in cm)
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    176 - 183
    184 - 191
    No. of students
    27
    6
    24
    38
    9
    10
    17
    32
  • (iv)
    Height (in cm)
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    176 - 183
    184 - 191
    No. of students
    27
    32
    19
    38
    9
    10
    17
    6
  • (v)
    Height (in cm)
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    176 - 183
    184 - 191
    No. of students
    27
    32
    38
    24
    9
    10
    17
    6
Question 7
7.
    • Heights of 221 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of plants
    36
    12
    43
    44
    47
    41
  • (ii)
    Height (in cm)
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of plants
    36
    43
    12
    42
    47
    41
  • (iii)
    Height (in cm)
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of plants
    36
    12
    48
    42
    47
    41
  • (iv)
    Height (in cm)
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of plants
    36
    12
    43
    42
    47
    41
  • (v)
    Height (in cm)
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of plants
    36
    41
    43
    42
    47
    12
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)
    51 - 56
    57 - 62
    63 - 68
    69 - 74
    75 - 80
    No. of plants
    26
    28
    41
    11
    44
  • (ii)
    Height (in cm)
    51 - 56
    57 - 62
    63 - 68
    69 - 74
    75 - 80
    No. of plants
    26
    28
    43
    11
    44
  • (iii)
    Height (in cm)
    51 - 56
    57 - 62
    63 - 68
    69 - 74
    75 - 80
    No. of plants
    26
    43
    28
    11
    44
  • (iv)
    Height (in cm)
    51 - 56
    57 - 62
    63 - 68
    69 - 74
    75 - 80
    No. of plants
    26
    44
    43
    11
    28
  • (v)
    Height (in cm)
    51 - 56
    57 - 62
    63 - 68
    69 - 74
    75 - 80
    No. of plants
    26
    31
    43
    11
    44
Question 9
9.
    • Ages of 196 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    No. of students
    38
    14
    30
    37
    40
    37
  • (ii)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    No. of students
    38
    30
    14
    34
    40
    37
  • (iii)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    No. of students
    38
    37
    14
    37
    40
    30
  • (iv)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    No. of students
    38
    30
    19
    37
    40
    37
  • (v)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    No. of students
    38
    30
    14
    37
    40
    37
Question 10
10.
    • Ages of 184 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    13 - 19
    20 - 26
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of students
    41
    14
    20
    8
    12
    11
    31
    47
  • (ii)
    Age (in years)
    13 - 19
    20 - 26
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of students
    41
    47
    20
    8
    12
    11
    31
    14
  • (iii)
    Age (in years)
    13 - 19
    20 - 26
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of students
    41
    47
    20
    8
    17
    11
    31
    14
  • (iv)
    Age (in years)
    13 - 19
    20 - 26
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of students
    41
    47
    8
    20
    12
    11
    31
    14
  • (v)
    Age (in years)
    13 - 19
    20 - 26
    27 - 33
    34 - 40
    41 - 47
    48 - 54
    55 - 61
    62 - 68
    No. of students
    41
    47
    17
    8
    12
    11
    31
    14
Question 11
11.
    • Scores of 122 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    78 - 86
    86 - 94
    94 - 102
    102 - 110
    110 - 118
    118 - 126
    No. of students
    25
    32
    18
    6
    36
    5
  • (ii)
    Score
    78 - 86
    86 - 94
    94 - 102
    102 - 110
    110 - 118
    118 - 126
    No. of students
    25
    18
    32
    11
    36
    5
  • (iii)
    Score
    78 - 86
    86 - 94
    94 - 102
    102 - 110
    110 - 118
    118 - 126
    No. of students
    25
    18
    32
    6
    36
    5
  • (iv)
    Score
    78 - 86
    86 - 94
    94 - 102
    102 - 110
    110 - 118
    118 - 126
    No. of students
    25
    5
    32
    6
    36
    18
  • (v)
    Score
    78 - 86
    86 - 94
    94 - 102
    102 - 110
    110 - 118
    118 - 126
    No. of students
    25
    18
    30
    6
    36
    5
Question 12
12.
    • Scores of 203 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    33
    33
    31
    12
    24
    27
    22
    21
  • (ii)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    33
    33
    31
    12
    26
    27
    22
    21
  • (iii)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    33
    33
    28
    12
    24
    27
    22
    21
  • (iv)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    33
    33
    12
    31
    24
    27
    22
    21
  • (v)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    33
    21
    31
    12
    24
    27
    22
    33
Question 13
13.
    • Rainfall of 201 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    41 - 47
    47 - 53
    No. of days
    37
    27
    19
    32
    39
    40
    7
  • (ii)
    Rainfall (in mm)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    41 - 47
    47 - 53
    No. of days
    37
    19
    24
    32
    39
    40
    7
  • (iii)
    Rainfall (in mm)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    41 - 47
    47 - 53
    No. of days
    37
    19
    27
    34
    39
    40
    7
  • (iv)
    Rainfall (in mm)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    41 - 47
    47 - 53
    No. of days
    37
    19
    27
    32
    39
    40
    7
  • (v)
    Rainfall (in mm)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    41 - 47
    47 - 53
    No. of days
    37
    7
    27
    32
    39
    40
    19
Question 14
14.
    • Rainfall of 168 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    14 - 23
    24 - 33
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    No. of days
    27
    25
    6
    11
    5
    29
    33
    32
  • (ii)
    Rainfall (in mm)
    14 - 23
    24 - 33
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    No. of days
    27
    32
    6
    11
    5
    29
    33
    25
  • (iii)
    Rainfall (in mm)
    14 - 23
    24 - 33
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    No. of days
    27
    25
    4
    11
    5
    29
    33
    32
  • (iv)
    Rainfall (in mm)
    14 - 23
    24 - 33
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    No. of days
    27
    25
    6
    11
    8
    29
    33
    32
  • (v)
    Rainfall (in mm)
    14 - 23
    24 - 33
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    No. of days
    27
    25
    11
    6
    5
    29
    33
    32
Question 15
15.
    • Temperatures of 179 days (in °C) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    32
    18
    47
    13
    42
    27
  • (ii)
    Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    32
    18
    47
    10
    42
    27
  • (iii)
    Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    32
    27
    47
    13
    42
    18
  • (iv)
    Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    32
    47
    18
    13
    42
    27
  • (v)
    Temperature (in degree)
    34 - 39
    39 - 44
    44 - 49
    49 - 54
    54 - 59
    59 - 64
    No. of days
    32
    18
    45
    13
    42
    27
Question 16
16.
    • Temperatures of 178 days (in °C) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Temperature (in degree)
    27 - 34
    35 - 42
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    No. of days
    33
    14
    17
    40
    37
    20
    17
  • (ii)
    Temperature (in degree)
    27 - 34
    35 - 42
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    No. of days
    33
    17
    11
    40
    37
    20
    17
  • (iii)
    Temperature (in degree)
    27 - 34
    35 - 42
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    No. of days
    33
    17
    14
    40
    37
    20
    17
  • (iv)
    Temperature (in degree)
    27 - 34
    35 - 42
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    No. of days
    33
    17
    14
    44
    37
    20
    17
Question 17
17.
    • Weights of 210 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of students
    41
    30
    15
    43
    5
    29
    43
  • (ii)
    Weight (in kg)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of students
    41
    30
    12
    47
    5
    29
    43
  • (iii)
    Weight (in kg)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of students
    41
    15
    30
    47
    5
    29
    43
  • (iv)
    Weight (in kg)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of students
    41
    43
    15
    47
    5
    29
    30
  • (v)
    Weight (in kg)
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    No. of students
    41
    30
    15
    47
    5
    29
    43
Question 18
18.
    • Weights of 97 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    No. of students
    12
    33
    10
    18
    24
  • (ii)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    No. of students
    12
    24
    10
    18
    33
  • (iii)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    No. of students
    12
    20
    10
    18
    33
  • (iv)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    No. of students
    12
    24
    8
    18
    33
  • (v)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    No. of students
    12
    10
    24
    18
    33
Question 19
19.
    • Daily wages of 148 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    230 - 240
    240 - 250
    250 - 260
    260 - 270
    270 - 280
    280 - 290
    No. of labourers
    13
    17
    45
    52
    6
    20
  • (ii)
    Daily wage (in Rs)
    230 - 240
    240 - 250
    250 - 260
    260 - 270
    270 - 280
    280 - 290
    No. of labourers
    13
    45
    17
    47
    6
    20
  • (iii)
    Daily wage (in Rs)
    230 - 240
    240 - 250
    250 - 260
    260 - 270
    270 - 280
    280 - 290
    No. of labourers
    13
    17
    42
    47
    6
    20
  • (iv)
    Daily wage (in Rs)
    230 - 240
    240 - 250
    250 - 260
    260 - 270
    270 - 280
    280 - 290
    No. of labourers
    13
    20
    45
    47
    6
    17
  • (v)
    Daily wage (in Rs)
    230 - 240
    240 - 250
    250 - 260
    260 - 270
    270 - 280
    280 - 290
    No. of labourers
    13
    17
    45
    47
    6
    20
Question 20
20.
    • Daily wages of 227 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    264 - 269
    270 - 275
    276 - 281
    282 - 287
    288 - 293
    294 - 299
    300 - 305
    306 - 311
    No. of labourers
    50
    6
    47
    13
    39
    19
    29
    24
  • (ii)
    Daily wage (in Rs)
    264 - 269
    270 - 275
    276 - 281
    282 - 287
    288 - 293
    294 - 299
    300 - 305
    306 - 311
    No. of labourers
    50
    24
    43
    13
    39
    19
    29
    6
  • (iii)
    Daily wage (in Rs)
    264 - 269
    270 - 275
    276 - 281
    282 - 287
    288 - 293
    294 - 299
    300 - 305
    306 - 311
    No. of labourers
    50
    24
    47
    13
    39
    19
    29
    6
  • (iv)
    Daily wage (in Rs)
    264 - 269
    270 - 275
    276 - 281
    282 - 287
    288 - 293
    294 - 299
    300 - 305
    306 - 311
    No. of labourers
    50
    24
    47
    13
    37
    19
    29
    6
  • (v)
    Daily wage (in Rs)
    264 - 269
    270 - 275
    276 - 281
    282 - 287
    288 - 293
    294 - 299
    300 - 305
    306 - 311
    No. of labourers
    50
    24
    13
    47
    39
    19
    29
    6
    Assignment Key

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