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
      21 - 28
      16
      29 - 36
      22
      37 - 44
      36
      45 - 52
      48
      53 - 60
      64
      61 - 68
      75
      69 - 76
      89
      77 - 84
      100
  • (i)
    Class-Interval
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    69 - 76
    77 - 84
    Frequency
    16
    11
    14
    12
    16
    11
    14
    6
  • (ii)
    Class-Interval
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    69 - 76
    77 - 84
    Frequency
    16
    6
    12
    14
    16
    11
    14
    11
  • (iii)
    Class-Interval
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    69 - 76
    77 - 84
    Frequency
    16
    6
    14
    12
    16
    11
    14
    11
  • (iv)
    Class-Interval
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    69 - 76
    77 - 84
    Frequency
    16
    6
    14
    12
    13
    11
    14
    11
  • (v)
    Class-Interval
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    69 - 76
    77 - 84
    Frequency
    16
    6
    11
    12
    16
    11
    14
    11
Question 2
2.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      14 - 20
      16
      20 - 26
      24
      26 - 32
      32
      32 - 38
      47
      38 - 44
      57
      44 - 50
      67
  • (i)
    Class-Interval
    14 - 20
    20 - 26
    26 - 32
    32 - 38
    38 - 44
    44 - 50
    Frequency
    16
    8
    8
    15
    10
    10
  • (ii)
    Class-Interval
    14 - 20
    20 - 26
    26 - 32
    32 - 38
    38 - 44
    44 - 50
    Frequency
    16
    8
    4
    15
    10
    10
  • (iii)
    Class-Interval
    14 - 20
    20 - 26
    26 - 32
    32 - 38
    38 - 44
    44 - 50
    Frequency
    16
    10
    8
    15
    10
    8
  • (iv)
    Class-Interval
    14 - 20
    20 - 26
    26 - 32
    32 - 38
    38 - 44
    44 - 50
    Frequency
    16
    8
    8
    13
    10
    10
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)
      20 - 25
      26 - 31
      32 - 37
      38 - 43
      44 - 49
      50 - 55
      56 - 61
      62 - 67
      No. of Patients
      71
      36
      79
      67
      30
      85
      81
      25
  • (i)
    Age (in years)
    Cumulative Frequency
    20 - 25
    71
    26 - 31
    107
    32 - 37
    186
    38 - 43
    253
    44 - 49
    279
    50 - 55
    364
    56 - 61
    445
    62 - 67
    470
  • (ii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    71
    26 - 31
    107
    32 - 37
    186
    38 - 43
    253
    44 - 49
    283
    50 - 55
    368
    56 - 61
    449
    62 - 67
    474
  • (iii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    71
    26 - 31
    107
    32 - 37
    188
    38 - 43
    255
    44 - 49
    285
    50 - 55
    370
    56 - 61
    451
    62 - 67
    476
  • (iv)
    Age (in years)
    Cumulative Frequency
    20 - 25
    71
    26 - 31
    107
    32 - 37
    174
    38 - 43
    253
    44 - 49
    283
    50 - 55
    368
    56 - 61
    449
    62 - 67
    474
  • (v)
    Age (in years)
    Cumulative Frequency
    20 - 25
    71
    26 - 31
    96
    32 - 37
    175
    38 - 43
    242
    44 - 49
    272
    50 - 55
    357
    56 - 61
    438
    62 - 67
    474
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 - 15
      15 - 20
      20 - 25
      25 - 30
      30 - 35
      35 - 40
      40 - 45
      No. of Patients
      56
      20
      42
      51
      87
      35
      52
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 15
    56
    15 - 20
    98
    20 - 25
    118
    25 - 30
    169
    30 - 35
    256
    35 - 40
    291
    40 - 45
    343
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 15
    56
    15 - 20
    76
    20 - 25
    123
    25 - 30
    174
    30 - 35
    261
    35 - 40
    296
    40 - 45
    348
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 15
    56
    15 - 20
    76
    20 - 25
    118
    25 - 30
    169
    30 - 35
    256
    35 - 40
    291
    40 - 45
    343
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 15
    56
    15 - 20
    76
    20 - 25
    118
    25 - 30
    172
    30 - 35
    259
    35 - 40
    294
    40 - 45
    346
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 15
    56
    15 - 20
    108
    20 - 25
    150
    25 - 30
    201
    30 - 35
    288
    35 - 40
    323
    40 - 45
    343
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
      11
      15
      3
      5
      6
      5
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    11
    241 - 281
    14
    282 - 322
    29
    323 - 363
    34
    364 - 404
    40
    405 - 445
    45
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    11
    241 - 281
    26
    282 - 322
    31
    323 - 363
    36
    364 - 404
    42
    405 - 445
    47
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    11
    241 - 281
    16
    282 - 322
    19
    323 - 363
    24
    364 - 404
    30
    405 - 445
    45
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    11
    241 - 281
    26
    282 - 322
    29
    323 - 363
    32
    364 - 404
    38
    405 - 445
    43
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    11
    241 - 281
    26
    282 - 322
    29
    323 - 363
    34
    364 - 404
    40
    405 - 445
    45
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
      5
      20
      7
      6
      17
      10
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    5
    240 - 280
    15
    280 - 320
    22
    320 - 360
    28
    360 - 400
    45
    400 - 440
    65
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    5
    240 - 280
    12
    280 - 320
    32
    320 - 360
    38
    360 - 400
    55
    400 - 440
    65
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    5
    240 - 280
    25
    280 - 320
    32
    320 - 360
    34
    360 - 400
    51
    400 - 440
    61
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    5
    240 - 280
    25
    280 - 320
    34
    320 - 360
    40
    360 - 400
    57
    400 - 440
    67
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    5
    240 - 280
    25
    280 - 320
    32
    320 - 360
    38
    360 - 400
    55
    400 - 440
    65
Question 7
7.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      10 - 17
      18 - 25
      26 - 33
      34 - 41
      42 - 49
      50 - 57
      58 - 65
      66 - 73
      frequency
      5
      19
      8
      6
      11
      8
      15
      24
  • (i)
    class interval
    Cumulative Frequency
    10 - 17
    5
    18 - 25
    24
    26 - 33
    32
    34 - 41
    38
    42 - 49
    44
    50 - 57
    52
    58 - 65
    67
    66 - 73
    91
  • (ii)
    class interval
    Cumulative Frequency
    10 - 17
    5
    18 - 25
    24
    26 - 33
    29
    34 - 41
    35
    42 - 49
    46
    50 - 57
    54
    58 - 65
    69
    66 - 73
    93
  • (iii)
    class interval
    Cumulative Frequency
    10 - 17
    5
    18 - 25
    24
    26 - 33
    32
    34 - 41
    38
    42 - 49
    49
    50 - 57
    57
    58 - 65
    72
    66 - 73
    96
  • (iv)
    class interval
    Cumulative Frequency
    10 - 17
    5
    18 - 25
    24
    26 - 33
    30
    34 - 41
    38
    42 - 49
    49
    50 - 57
    57
    58 - 65
    72
    66 - 73
    96
  • (v)
    class interval
    Cumulative Frequency
    10 - 17
    5
    18 - 25
    29
    26 - 33
    37
    34 - 41
    43
    42 - 49
    54
    50 - 57
    62
    58 - 65
    77
    66 - 73
    96
Question 8
8.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      28 - 34
      34 - 40
      40 - 46
      46 - 52
      52 - 58
      frequency
      7
      25
      12
      10
      17
  • (i)
    class interval
    Cumulative Frequency
    28 - 34
    7
    34 - 40
    24
    40 - 46
    36
    46 - 52
    46
    52 - 58
    71
  • (ii)
    class interval
    Cumulative Frequency
    28 - 34
    7
    34 - 40
    35
    40 - 46
    47
    46 - 52
    57
    52 - 58
    74
  • (iii)
    class interval
    Cumulative Frequency
    28 - 34
    7
    34 - 40
    32
    40 - 46
    44
    46 - 52
    54
    52 - 58
    71
  • (iv)
    class interval
    Cumulative Frequency
    28 - 34
    7
    34 - 40
    19
    40 - 46
    44
    46 - 52
    54
    52 - 58
    71
  • (v)
    class interval
    Cumulative Frequency
    28 - 34
    7
    34 - 40
    32
    40 - 46
    48
    46 - 52
    58
    52 - 58
    75
Question 9
9.
    • Find the cumulative frequency of class
    • 45
      -
      54
    • .
    • Class-Interval
      25 - 34
      35 - 44
      45 - 54
      55 - 64
      Frequency
      14
      15
      11
      15
  • (i)
    38
  • (ii)
    41
  • (iii)
    42
  • (iv)
    40
  • (v)
    39
Question 10
10.
    • Find the cumulative frequency of class
    • 32
      -
      37
    • .
    • Class-Interval
      17 - 22
      22 - 27
      27 - 32
      32 - 37
      37 - 42
      42 - 47
      47 - 52
      Frequency
      8
      7
      20
      8
      25
      6
      14
  • (i)
    43
  • (ii)
    40
  • (iii)
    42
  • (iv)
    44
  • (v)
    46
Question 11
11.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      38 - 46
      8
      46 - 54
      17
      54 - 62
      30
      62 - 70
      45
      70 - 78
      54
      78 - 86
      61
      86 - 94
      66
      94 - 102
      81
  • (i)
    Class-Interval
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    Frequency
    8
    15
    13
    15
    9
    7
    5
    9
  • (ii)
    Class-Interval
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    Frequency
    8
    9
    13
    15
    9
    7
    5
    15
  • (iii)
    Class-Interval
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    Frequency
    8
    9
    13
    15
    5
    7
    5
    15
  • (iv)
    Class-Interval
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    Frequency
    8
    9
    10
    15
    9
    7
    5
    15
  • (v)
    Class-Interval
    38 - 46
    46 - 54
    54 - 62
    62 - 70
    70 - 78
    78 - 86
    86 - 94
    94 - 102
    Frequency
    8
    9
    15
    13
    9
    7
    5
    15
Question 12
12.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      16 - 22
      55
      22 - 28
      49
      28 - 34
      35
      34 - 40
      28
      40 - 46
      20
      46 - 52
      15
  • (i)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    46 - 52
    Frequency
    6
    14
    7
    10
    5
    15
  • (ii)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    46 - 52
    Frequency
    6
    14
    7
    8
    5
    15
  • (iii)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    46 - 52
    Frequency
    6
    14
    12
    8
    5
    15
  • (iv)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    46 - 52
    Frequency
    6
    15
    7
    8
    5
    14
  • (v)
    Class-Interval
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    46 - 52
    Frequency
    6
    7
    14
    8
    5
    15
Question 13
13.
    • During the medical check-up of 58 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 71 kg
    • Class-Interval
      36 - 41
      41 - 46
      46 - 51
      51 - 56
      56 - 61
      61 - 66
      66 - 71
      Frequency
      8
      10
      6
      12
      9
      5
      8
  • (i)
    56
  • (ii)
    60
  • (iii)
    58
  • (iv)
    57
  • (v)
    59
Question 14
14.
    • During the medical check-up of 70 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 71 kg
    • Class-Interval
      31 - 39
      39 - 47
      47 - 55
      55 - 63
      63 - 71
      71 - 79
      79 - 87
      87 - 95
      Frequency
      10
      10
      10
      6
      12
      8
      8
      6
  • (i)
    20
  • (ii)
    24
  • (iii)
    21
  • (iv)
    23
  • (v)
    22
    Assignment Key
  •  1) (iii)
  •  2) (i)
  •  3) (ii)
  •  4) (iii)
  •  5) (v)
  •  6) (v)
  •  7) (iii)
  •  8) (iii)
  •  9) (iv)
  •  10) (i)
  •  11) (ii)
  •  12) (ii)
  •  13) (iii)
  •  14) (v)