EduSahara™ Assignment
Name : Cumulative Frequency Distribution
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      19 - 25
      7
      26 - 32
      21
      33 - 39
      28
      40 - 46
      35
      47 - 53
      46
      54 - 60
      52
      61 - 67
      63
      68 - 74
      79
  • (i)
    Class-Interval
    19 - 25
    26 - 32
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    Frequency
    7
    16
    7
    7
    11
    6
    11
    14
  • (ii)
    Class-Interval
    19 - 25
    26 - 32
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    Frequency
    7
    14
    4
    7
    11
    6
    11
    16
  • (iii)
    Class-Interval
    19 - 25
    26 - 32
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    Frequency
    7
    14
    7
    7
    9
    6
    11
    16
  • (iv)
    Class-Interval
    19 - 25
    26 - 32
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    Frequency
    7
    14
    7
    7
    11
    6
    11
    16
Question 2
2.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      26 - 32
      6
      32 - 38
      19
      38 - 44
      28
      44 - 50
      39
      50 - 56
      47
  • (i)
    Class-Interval
    26 - 32
    32 - 38
    38 - 44
    44 - 50
    50 - 56
    Frequency
    6
    9
    9
    11
    8
  • (ii)
    Class-Interval
    26 - 32
    32 - 38
    38 - 44
    44 - 50
    50 - 56
    Frequency
    6
    8
    9
    11
    13
  • (iii)
    Class-Interval
    26 - 32
    32 - 38
    38 - 44
    44 - 50
    50 - 56
    Frequency
    6
    13
    13
    11
    8
  • (iv)
    Class-Interval
    26 - 32
    32 - 38
    38 - 44
    44 - 50
    50 - 56
    Frequency
    6
    9
    13
    11
    8
  • (v)
    Class-Interval
    26 - 32
    32 - 38
    38 - 44
    44 - 50
    50 - 56
    Frequency
    6
    13
    9
    11
    8
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
      54 - 64
      65 - 75
      76 - 86
      87 - 97
      No. of Patients
      72
      30
      69
      44
      44
      26
      86
      53
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 20
    72
    21 - 31
    102
    32 - 42
    146
    43 - 53
    215
    54 - 64
    259
    65 - 75
    285
    76 - 86
    371
    87 - 97
    424
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    72
    21 - 31
    102
    32 - 42
    171
    43 - 53
    215
    54 - 64
    259
    65 - 75
    285
    76 - 86
    371
    87 - 97
    424
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    72
    21 - 31
    125
    32 - 42
    194
    43 - 53
    238
    54 - 64
    282
    65 - 75
    308
    76 - 86
    394
    87 - 97
    424
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 20
    72
    21 - 31
    102
    32 - 42
    173
    43 - 53
    217
    54 - 64
    261
    65 - 75
    287
    76 - 86
    373
    87 - 97
    426
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 20
    72
    21 - 31
    102
    32 - 42
    171
    43 - 53
    215
    54 - 64
    262
    65 - 75
    288
    76 - 86
    374
    87 - 97
    427
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
      No. of Patients
      12
      48
      13
      69
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 15
    69
    15 - 20
    117
    20 - 25
    130
    25 - 30
    142
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 15
    12
    15 - 20
    65
    20 - 25
    78
    25 - 30
    147
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 15
    12
    15 - 20
    60
    20 - 25
    78
    25 - 30
    147
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 15
    12
    15 - 20
    60
    20 - 25
    73
    25 - 30
    142
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 15
    12
    15 - 20
    25
    20 - 25
    73
    25 - 30
    142
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 - 230
      231 - 261
      262 - 292
      293 - 323
      324 - 354
      355 - 385
      Labourers
      14
      16
      9
      3
      19
      6
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    14
    231 - 261
    23
    262 - 292
    39
    293 - 323
    42
    324 - 354
    61
    355 - 385
    67
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    14
    231 - 261
    30
    262 - 292
    39
    293 - 323
    46
    324 - 354
    65
    355 - 385
    71
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    14
    231 - 261
    30
    262 - 292
    42
    293 - 323
    45
    324 - 354
    64
    355 - 385
    70
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    14
    231 - 261
    20
    262 - 292
    29
    293 - 323
    32
    324 - 354
    51
    355 - 385
    67
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    14
    231 - 261
    30
    262 - 292
    39
    293 - 323
    42
    324 - 354
    61
    355 - 385
    67
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)
      300 - 340
      340 - 380
      380 - 420
      420 - 460
      460 - 500
      500 - 540
      Labourers
      19
      5
      11
      17
      12
      1
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    300 - 340
    19
    340 - 380
    30
    380 - 420
    35
    420 - 460
    52
    460 - 500
    64
    500 - 540
    65
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    300 - 340
    19
    340 - 380
    24
    380 - 420
    35
    420 - 460
    52
    460 - 500
    64
    500 - 540
    65
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    300 - 340
    19
    340 - 380
    24
    380 - 420
    35
    420 - 460
    47
    460 - 500
    59
    500 - 540
    60
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    300 - 340
    19
    340 - 380
    24
    380 - 420
    39
    420 - 460
    56
    460 - 500
    68
    500 - 540
    69
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    300 - 340
    19
    340 - 380
    20
    380 - 420
    31
    420 - 460
    48
    460 - 500
    60
    500 - 540
    65
Question 7
7.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      49 - 54
      55 - 60
      61 - 66
      67 - 72
      73 - 78
      79 - 84
      85 - 90
      91 - 96
      frequency
      19
      6
      23
      6
      17
      19
      23
      17
  • (i)
    class interval
    Cumulative Frequency
    49 - 54
    19
    55 - 60
    25
    61 - 66
    48
    67 - 72
    54
    73 - 78
    66
    79 - 84
    85
    85 - 90
    108
    91 - 96
    125
  • (ii)
    class interval
    Cumulative Frequency
    49 - 54
    19
    55 - 60
    25
    61 - 66
    31
    67 - 72
    54
    73 - 78
    71
    79 - 84
    90
    85 - 90
    113
    91 - 96
    130
  • (iii)
    class interval
    Cumulative Frequency
    49 - 54
    19
    55 - 60
    36
    61 - 66
    59
    67 - 72
    65
    73 - 78
    82
    79 - 84
    101
    85 - 90
    124
    91 - 96
    130
  • (iv)
    class interval
    Cumulative Frequency
    49 - 54
    19
    55 - 60
    25
    61 - 66
    48
    67 - 72
    54
    73 - 78
    71
    79 - 84
    90
    85 - 90
    113
    91 - 96
    130
  • (v)
    class interval
    Cumulative Frequency
    49 - 54
    19
    55 - 60
    25
    61 - 66
    52
    67 - 72
    58
    73 - 78
    75
    79 - 84
    94
    85 - 90
    117
    91 - 96
    134
Question 8
8.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      42 - 52
      52 - 62
      62 - 72
      72 - 82
      82 - 92
      92 - 102
      102 - 112
      frequency
      17
      13
      23
      15
      17
      9
      6
  • (i)
    class interval
    Cumulative Frequency
    42 - 52
    17
    52 - 62
    30
    62 - 72
    53
    72 - 82
    73
    82 - 92
    90
    92 - 102
    99
    102 - 112
    105
  • (ii)
    class interval
    Cumulative Frequency
    42 - 52
    17
    52 - 62
    23
    62 - 72
    46
    72 - 82
    61
    82 - 92
    78
    92 - 102
    87
    102 - 112
    100
  • (iii)
    class interval
    Cumulative Frequency
    42 - 52
    17
    52 - 62
    30
    62 - 72
    53
    72 - 82
    68
    82 - 92
    85
    92 - 102
    94
    102 - 112
    100
  • (iv)
    class interval
    Cumulative Frequency
    42 - 52
    17
    52 - 62
    30
    62 - 72
    48
    72 - 82
    63
    82 - 92
    80
    92 - 102
    89
    102 - 112
    95
  • (v)
    class interval
    Cumulative Frequency
    42 - 52
    17
    52 - 62
    40
    62 - 72
    53
    72 - 82
    68
    82 - 92
    85
    92 - 102
    94
    102 - 112
    100
Question 9
9.
    • Find the cumulative frequency of class
    • 60
      -
      67
    • .
    • Class-Interval
      28 - 35
      36 - 43
      44 - 51
      52 - 59
      60 - 67
      Frequency
      12
      21
      25
      25
      10
  • (i)
    94
  • (ii)
    90
  • (iii)
    92
  • (iv)
    95
  • (v)
    93
Question 10
10.
    • Find the cumulative frequency of class
    • 28
      -
      35
    • .
    • Class-Interval
      14 - 21
      21 - 28
      28 - 35
      35 - 42
      42 - 49
      Frequency
      14
      16
      6
      24
      18
  • (i)
    34
  • (ii)
    36
  • (iii)
    35
  • (iv)
    37
  • (v)
    38
Question 11
11.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      14 - 19
      13
      19 - 24
      26
      24 - 29
      31
      29 - 34
      42
      34 - 39
      57
  • (i)
    Class-Interval
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    Frequency
    13
    5
    13
    11
    15
  • (ii)
    Class-Interval
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    Frequency
    13
    13
    10
    11
    15
  • (iii)
    Class-Interval
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    Frequency
    13
    16
    5
    11
    15
  • (iv)
    Class-Interval
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    Frequency
    13
    13
    5
    11
    15
  • (v)
    Class-Interval
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    Frequency
    13
    15
    5
    11
    13
Question 12
12.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      21 - 27
      93
      27 - 33
      81
      33 - 39
      68
      39 - 45
      56
      45 - 51
      44
      51 - 57
      35
      57 - 63
      27
      63 - 69
      14
  • (i)
    Class-Interval
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    63 - 69
    Frequency
    12
    13
    12
    12
    9
    8
    13
    14
  • (ii)
    Class-Interval
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    63 - 69
    Frequency
    12
    14
    12
    12
    9
    8
    13
    13
  • (iii)
    Class-Interval
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    63 - 69
    Frequency
    12
    13
    12
    12
    6
    8
    13
    14
  • (iv)
    Class-Interval
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    63 - 69
    Frequency
    12
    13
    14
    12
    9
    8
    13
    14
Question 13
13.
    • During the medical check-up of 38 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 46 kg
    • Class-Interval
      32 - 39
      39 - 46
      46 - 53
      53 - 60
      60 - 67
      67 - 74
      Frequency
      6
      5
      5
      6
      5
      11
  • (i)
    12
  • (ii)
    11
  • (iii)
    10
  • (iv)
    8
  • (v)
    13
Question 14
14.
    • During the medical check-up of 38 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 59 kg
    • Class-Interval
      32 - 41
      41 - 50
      50 - 59
      59 - 68
      Frequency
      11
      12
      8
      7
  • (i)
    10
  • (ii)
    4
  • (iii)
    8
  • (iv)
    6
  • (v)
    7
    Assignment Key

  •  1) (iv)
  •  2) (v)
  •  3) (ii)
  •  4) (iv)
  •  5) (v)
  •  6) (ii)
  •  7) (iv)
  •  8) (iii)
  •  9) (v)
  •  10) (ii)
  •  11) (iv)
  •  12) (i)
  •  13) (ii)
  •  14) (v)