EduSahara™ Assignment
Name : Cumulative Frequency Distribution
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      19 - 29
      15
      30 - 40
      31
      41 - 51
      47
      52 - 62
      57
      63 - 73
      63
      74 - 84
      70
  • (i)
    Class-Interval
    19 - 29
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    Frequency
    15
    16
    20
    10
    6
    7
  • (ii)
    Class-Interval
    19 - 29
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    Frequency
    15
    16
    16
    10
    6
    7
  • (iii)
    Class-Interval
    19 - 29
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    Frequency
    15
    16
    16
    12
    6
    7
  • (iv)
    Class-Interval
    19 - 29
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    Frequency
    15
    7
    16
    10
    6
    16
Question 2
2.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      37 - 44
      14
      44 - 51
      24
      51 - 58
      32
      58 - 65
      40
      65 - 72
      49
      72 - 79
      64
      79 - 86
      69
      86 - 93
      84
  • (i)
    Class-Interval
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    79 - 86
    86 - 93
    Frequency
    14
    10
    8
    8
    9
    15
    5
    15
  • (ii)
    Class-Interval
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    79 - 86
    86 - 93
    Frequency
    14
    10
    8
    8
    11
    15
    5
    15
  • (iii)
    Class-Interval
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    79 - 86
    86 - 93
    Frequency
    14
    15
    8
    8
    9
    15
    5
    10
  • (iv)
    Class-Interval
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    79 - 86
    86 - 93
    Frequency
    14
    10
    5
    8
    9
    15
    5
    15
Question 3
3.
    • 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
      21 - 31
      32 - 42
      43 - 53
      No. of Patients
      64
      44
      46
      12
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 20
    64
    21 - 31
    103
    32 - 42
    149
    43 - 53
    161
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    64
    21 - 31
    110
    32 - 42
    154
    43 - 53
    166
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    64
    21 - 31
    108
    32 - 42
    156
    43 - 53
    168
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 20
    64
    21 - 31
    108
    32 - 42
    154
    43 - 53
    166
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 20
    12
    21 - 31
    56
    32 - 42
    102
    43 - 53
    166
Question 4
4.
    • 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
      No. of Patients
      74
      29
      30
      13
      60
      54
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 20
    74
    20 - 30
    103
    30 - 40
    133
    40 - 50
    146
    50 - 60
    206
    60 - 70
    260
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    74
    20 - 30
    103
    30 - 40
    129
    40 - 50
    142
    50 - 60
    202
    60 - 70
    256
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    74
    20 - 30
    104
    30 - 40
    133
    40 - 50
    146
    50 - 60
    206
    60 - 70
    260
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 20
    74
    20 - 30
    128
    30 - 40
    158
    40 - 50
    171
    50 - 60
    231
    60 - 70
    260
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 20
    74
    20 - 30
    103
    30 - 40
    133
    40 - 50
    148
    50 - 60
    208
    60 - 70
    262
Question 5
5.
    • Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
    • Wages (in rupees)
      200 - 240
      241 - 281
      282 - 322
      323 - 363
      364 - 404
      405 - 445
      Labourers
      20
      2
      3
      2
      3
      18
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    20
    241 - 281
    22
    282 - 322
    28
    323 - 363
    30
    364 - 404
    33
    405 - 445
    51
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    20
    241 - 281
    38
    282 - 322
    41
    323 - 363
    43
    364 - 404
    46
    405 - 445
    48
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    20
    241 - 281
    22
    282 - 322
    25
    323 - 363
    27
    364 - 404
    30
    405 - 445
    48
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    20
    241 - 281
    22
    282 - 322
    25
    323 - 363
    31
    364 - 404
    34
    405 - 445
    52
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    20
    241 - 281
    23
    282 - 322
    25
    323 - 363
    27
    364 - 404
    30
    405 - 445
    48
Question 6
6.
    • Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
    • Wages (in rupees)
      200 - 240
      240 - 280
      280 - 320
      320 - 360
      360 - 400
      400 - 440
      Labourers
      10
      14
      13
      2
      6
      19
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    10
    240 - 280
    24
    280 - 320
    40
    320 - 360
    42
    360 - 400
    48
    400 - 440
    67
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    10
    240 - 280
    29
    280 - 320
    42
    320 - 360
    44
    360 - 400
    50
    400 - 440
    64
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    10
    240 - 280
    24
    280 - 320
    37
    320 - 360
    39
    360 - 400
    45
    400 - 440
    64
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    10
    240 - 280
    24
    280 - 320
    37
    320 - 360
    41
    360 - 400
    47
    400 - 440
    66
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    10
    240 - 280
    23
    280 - 320
    37
    320 - 360
    39
    360 - 400
    45
    400 - 440
    64
Question 7
7.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      26 - 33
      34 - 41
      42 - 49
      50 - 57
      58 - 65
      66 - 73
      frequency
      23
      10
      24
      7
      20
      24
  • (i)
    class interval
    Cumulative Frequency
    26 - 33
    23
    34 - 41
    47
    42 - 49
    57
    50 - 57
    64
    58 - 65
    84
    66 - 73
    108
  • (ii)
    class interval
    Cumulative Frequency
    26 - 33
    23
    34 - 41
    33
    42 - 49
    57
    50 - 57
    68
    58 - 65
    88
    66 - 73
    112
  • (iii)
    class interval
    Cumulative Frequency
    26 - 33
    23
    34 - 41
    47
    42 - 49
    71
    50 - 57
    78
    58 - 65
    98
    66 - 73
    108
  • (iv)
    class interval
    Cumulative Frequency
    26 - 33
    23
    34 - 41
    33
    42 - 49
    57
    50 - 57
    64
    58 - 65
    84
    66 - 73
    108
  • (v)
    class interval
    Cumulative Frequency
    26 - 33
    23
    34 - 41
    33
    42 - 49
    53
    50 - 57
    60
    58 - 65
    80
    66 - 73
    104
Question 8
8.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      24 - 29
      29 - 34
      34 - 39
      39 - 44
      44 - 49
      frequency
      10
      13
      10
      23
      18
  • (i)
    class interval
    Cumulative Frequency
    24 - 29
    10
    29 - 34
    28
    34 - 39
    38
    39 - 44
    61
    44 - 49
    74
  • (ii)
    class interval
    Cumulative Frequency
    24 - 29
    10
    29 - 34
    25
    34 - 39
    35
    39 - 44
    58
    44 - 49
    76
  • (iii)
    class interval
    Cumulative Frequency
    24 - 29
    10
    29 - 34
    23
    34 - 39
    37
    39 - 44
    60
    44 - 49
    78
  • (iv)
    class interval
    Cumulative Frequency
    24 - 29
    10
    29 - 34
    23
    34 - 39
    33
    39 - 44
    56
    44 - 49
    74
  • (v)
    class interval
    Cumulative Frequency
    24 - 29
    10
    29 - 34
    20
    34 - 39
    33
    39 - 44
    56
    44 - 49
    74
Question 9
9.
    • Find the cumulative frequency of class
    • 74
      -
      83
    • .
    • Class-Interval
      44 - 53
      54 - 63
      64 - 73
      74 - 83
      84 - 93
      Frequency
      5
      12
      22
      12
      19
  • (i)
    48
  • (ii)
    54
  • (iii)
    51
  • (iv)
    50
  • (v)
    52
Question 10
10.
    • Find the cumulative frequency of class
    • 85
      -
      94
    • .
    • Class-Interval
      49 - 58
      58 - 67
      67 - 76
      76 - 85
      85 - 94
      94 - 103
      Frequency
      18
      24
      23
      6
      8
      19
  • (i)
    80
  • (ii)
    79
  • (iii)
    77
  • (iv)
    78
  • (v)
    82
Question 11
11.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      33 - 40
      16
      40 - 47
      30
      47 - 54
      43
      54 - 61
      48
      61 - 68
      53
      68 - 75
      63
      75 - 82
      68
      82 - 89
      80
  • (i)
    Class-Interval
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    61 - 68
    68 - 75
    75 - 82
    82 - 89
    Frequency
    16
    14
    15
    5
    5
    10
    5
    12
  • (ii)
    Class-Interval
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    61 - 68
    68 - 75
    75 - 82
    82 - 89
    Frequency
    16
    14
    13
    5
    5
    10
    5
    12
  • (iii)
    Class-Interval
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    61 - 68
    68 - 75
    75 - 82
    82 - 89
    Frequency
    16
    12
    13
    5
    5
    10
    5
    14
  • (iv)
    Class-Interval
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    61 - 68
    68 - 75
    75 - 82
    82 - 89
    Frequency
    16
    14
    5
    13
    5
    10
    5
    12
  • (v)
    Class-Interval
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    61 - 68
    68 - 75
    75 - 82
    82 - 89
    Frequency
    16
    14
    13
    5
    1
    10
    5
    12
Question 12
12.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      20 - 25
      61
      25 - 30
      53
      30 - 35
      44
      35 - 40
      38
      40 - 45
      24
      45 - 50
      19
      50 - 55
      10
  • (i)
    Class-Interval
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    Frequency
    8
    9
    8
    14
    5
    9
    10
  • (ii)
    Class-Interval
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    Frequency
    8
    6
    9
    14
    5
    9
    10
  • (iii)
    Class-Interval
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    Frequency
    8
    9
    6
    11
    5
    9
    10
  • (iv)
    Class-Interval
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    Frequency
    8
    10
    6
    14
    5
    9
    9
  • (v)
    Class-Interval
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    Frequency
    8
    9
    6
    14
    5
    9
    10
Question 13
13.
    • During the medical check-up of 68 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 60 kg
    • Class-Interval
      35 - 40
      40 - 45
      45 - 50
      50 - 55
      55 - 60
      60 - 65
      65 - 70
      70 - 75
      Frequency
      7
      7
      10
      6
      10
      12
      10
      6
  • (i)
    38
  • (ii)
    43
  • (iii)
    39
  • (iv)
    41
  • (v)
    40
Question 14
14.
    • During the medical check-up of 61 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 66 kg
    • Class-Interval
      38 - 45
      45 - 52
      52 - 59
      59 - 66
      66 - 73
      73 - 80
      80 - 87
      Frequency
      5
      7
      9
      12
      8
      12
      8
  • (i)
    27
  • (ii)
    26
  • (iii)
    28
  • (iv)
    31
  • (v)
    29
    Assignment Key
  •  1) (ii)
  •  2) (i)
  •  3) (iv)
  •  4) (i)
  •  5) (iii)
  •  6) (iii)
  •  7) (iv)
  •  8) (iv)
  •  9) (iii)
  •  10) (ii)
  •  11) (ii)
  •  12) (v)
  •  13) (v)
  •  14) (iii)