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
      30 - 35
      13
      36 - 41
      27
      42 - 47
      35
      48 - 53
      42
      54 - 59
      56
  • (i)
    Class-Interval
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    54 - 59
    Frequency
    13
    17
    8
    7
    14
  • (ii)
    Class-Interval
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    54 - 59
    Frequency
    13
    14
    4
    7
    14
  • (iii)
    Class-Interval
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    54 - 59
    Frequency
    13
    14
    8
    7
    14
  • (iv)
    Class-Interval
    30 - 35
    36 - 41
    42 - 47
    48 - 53
    54 - 59
    Frequency
    13
    8
    14
    7
    14
Question 2
2.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      24 - 30
      8
      30 - 36
      19
      36 - 42
      28
      42 - 48
      43
      48 - 54
      56
      54 - 60
      62
      60 - 66
      68
  • (i)
    Class-Interval
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    54 - 60
    60 - 66
    Frequency
    8
    11
    9
    12
    13
    6
    6
  • (ii)
    Class-Interval
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    54 - 60
    60 - 66
    Frequency
    8
    11
    12
    15
    13
    6
    6
  • (iii)
    Class-Interval
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    54 - 60
    60 - 66
    Frequency
    8
    6
    9
    15
    13
    6
    11
  • (iv)
    Class-Interval
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    54 - 60
    60 - 66
    Frequency
    8
    11
    9
    15
    13
    6
    6
  • (v)
    Class-Interval
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    54 - 60
    60 - 66
    Frequency
    8
    9
    11
    15
    13
    6
    6
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
      40
      35
      14
      59
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 20
    40
    21 - 31
    75
    32 - 42
    86
    43 - 53
    145
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    59
    21 - 31
    94
    32 - 42
    108
    43 - 53
    148
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    40
    21 - 31
    54
    32 - 42
    89
    43 - 53
    148
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 20
    40
    21 - 31
    71
    32 - 42
    85
    43 - 53
    144
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 20
    40
    21 - 31
    75
    32 - 42
    89
    43 - 53
    148
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
      70 - 80
      80 - 90
      No. of Patients
      79
      14
      50
      87
      11
      85
      29
      35
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 20
    79
    20 - 30
    93
    30 - 40
    140
    40 - 50
    227
    50 - 60
    238
    60 - 70
    323
    70 - 80
    352
    80 - 90
    387
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    79
    20 - 30
    93
    30 - 40
    180
    40 - 50
    230
    50 - 60
    241
    60 - 70
    326
    70 - 80
    355
    80 - 90
    390
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    79
    20 - 30
    93
    30 - 40
    143
    40 - 50
    230
    50 - 60
    236
    60 - 70
    321
    70 - 80
    350
    80 - 90
    385
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 20
    79
    20 - 30
    114
    30 - 40
    164
    40 - 50
    251
    50 - 60
    262
    60 - 70
    347
    70 - 80
    376
    80 - 90
    390
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 20
    79
    20 - 30
    93
    30 - 40
    143
    40 - 50
    230
    50 - 60
    241
    60 - 70
    326
    70 - 80
    355
    80 - 90
    390
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 - 220
      221 - 241
      242 - 262
      263 - 283
      284 - 304
      305 - 325
      Labourers
      5
      18
      1
      8
      9
      17
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 220
    5
    221 - 241
    6
    242 - 262
    24
    263 - 283
    32
    284 - 304
    41
    305 - 325
    58
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 220
    5
    221 - 241
    23
    242 - 262
    29
    263 - 283
    37
    284 - 304
    46
    305 - 325
    63
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 220
    5
    221 - 241
    22
    242 - 262
    23
    263 - 283
    31
    284 - 304
    40
    305 - 325
    58
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 220
    5
    221 - 241
    23
    242 - 262
    24
    263 - 283
    34
    284 - 304
    43
    305 - 325
    60
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 220
    5
    221 - 241
    23
    242 - 262
    24
    263 - 283
    32
    284 - 304
    41
    305 - 325
    58
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 - 230
      230 - 260
      260 - 290
      290 - 320
      320 - 350
      350 - 380
      Labourers
      1
      1
      18
      15
      7
      3
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    1
    230 - 260
    2
    260 - 290
    20
    290 - 320
    33
    320 - 350
    40
    350 - 380
    43
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    1
    230 - 260
    4
    260 - 290
    22
    290 - 320
    37
    320 - 350
    44
    350 - 380
    45
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    1
    230 - 260
    2
    260 - 290
    17
    290 - 320
    32
    320 - 350
    39
    350 - 380
    42
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    1
    230 - 260
    19
    260 - 290
    20
    290 - 320
    35
    320 - 350
    42
    350 - 380
    45
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    1
    230 - 260
    2
    260 - 290
    20
    290 - 320
    35
    320 - 350
    42
    350 - 380
    45
Question 7
7.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      46 - 53
      54 - 61
      62 - 69
      70 - 77
      78 - 85
      86 - 93
      frequency
      20
      20
      10
      15
      17
      21
  • (i)
    class interval
    Cumulative Frequency
    46 - 53
    20
    54 - 61
    40
    62 - 69
    48
    70 - 77
    63
    78 - 85
    80
    86 - 93
    101
  • (ii)
    class interval
    Cumulative Frequency
    46 - 53
    20
    54 - 61
    40
    62 - 69
    50
    70 - 77
    65
    78 - 85
    82
    86 - 93
    103
  • (iii)
    class interval
    Cumulative Frequency
    46 - 53
    20
    54 - 61
    41
    62 - 69
    51
    70 - 77
    66
    78 - 85
    83
    86 - 93
    103
  • (iv)
    class interval
    Cumulative Frequency
    46 - 53
    20
    54 - 61
    40
    62 - 69
    50
    70 - 77
    70
    78 - 85
    87
    86 - 93
    108
  • (v)
    class interval
    Cumulative Frequency
    46 - 53
    20
    54 - 61
    30
    62 - 69
    50
    70 - 77
    65
    78 - 85
    82
    86 - 93
    103
Question 8
8.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      24 - 31
      31 - 38
      38 - 45
      45 - 52
      52 - 59
      59 - 66
      66 - 73
      frequency
      5
      13
      18
      8
      16
      18
      19
  • (i)
    class interval
    Cumulative Frequency
    24 - 31
    5
    31 - 38
    18
    38 - 45
    33
    45 - 52
    41
    52 - 59
    57
    59 - 66
    75
    66 - 73
    94
  • (ii)
    class interval
    Cumulative Frequency
    24 - 31
    5
    31 - 38
    18
    38 - 45
    36
    45 - 52
    41
    52 - 59
    57
    59 - 66
    75
    66 - 73
    94
  • (iii)
    class interval
    Cumulative Frequency
    24 - 31
    5
    31 - 38
    23
    38 - 45
    36
    45 - 52
    44
    52 - 59
    60
    59 - 66
    78
    66 - 73
    97
  • (iv)
    class interval
    Cumulative Frequency
    24 - 31
    5
    31 - 38
    18
    38 - 45
    36
    45 - 52
    44
    52 - 59
    60
    59 - 66
    78
    66 - 73
    97
  • (v)
    class interval
    Cumulative Frequency
    24 - 31
    5
    31 - 38
    24
    38 - 45
    42
    45 - 52
    50
    52 - 59
    66
    59 - 66
    84
    66 - 73
    97
Question 9
9.
    • Find the cumulative frequency of class
    • 30
      -
      39
    • .
    • Class-Interval
      20 - 29
      30 - 39
      40 - 49
      50 - 59
      60 - 69
      Frequency
      23
      9
      16
      20
      19
  • (i)
    32
  • (ii)
    34
  • (iii)
    33
  • (iv)
    31
  • (v)
    29
Question 10
10.
    • Find the cumulative frequency of class
    • 83
      -
      89
    • .
    • Class-Interval
      47 - 53
      53 - 59
      59 - 65
      65 - 71
      71 - 77
      77 - 83
      83 - 89
      Frequency
      15
      5
      17
      16
      14
      7
      7
  • (i)
    81
  • (ii)
    82
  • (iii)
    78
  • (iv)
    80
  • (v)
    84
Question 11
11.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      23 - 30
      7
      30 - 37
      22
      37 - 44
      35
      44 - 51
      43
      51 - 58
      48
      58 - 65
      56
      65 - 72
      63
      72 - 79
      78
  • (i)
    Class-Interval
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    Frequency
    7
    15
    13
    8
    7
    8
    7
    15
  • (ii)
    Class-Interval
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    Frequency
    7
    15
    17
    8
    5
    8
    7
    15
  • (iii)
    Class-Interval
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    Frequency
    7
    15
    13
    8
    5
    8
    7
    15
  • (iv)
    Class-Interval
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    Frequency
    7
    15
    8
    13
    5
    8
    7
    15
Question 12
12.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      17 - 24
      82
      24 - 31
      75
      31 - 38
      63
      38 - 45
      48
      45 - 52
      37
      52 - 59
      27
      59 - 66
      19
      66 - 73
      13
  • (i)
    Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    7
    13
    15
    11
    10
    8
    6
    12
  • (ii)
    Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    7
    12
    15
    11
    6
    8
    6
    13
  • (iii)
    Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    7
    12
    15
    11
    10
    8
    6
    13
  • (iv)
    Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    7
    12
    11
    15
    10
    8
    6
    13
  • (v)
    Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    7
    12
    17
    11
    10
    8
    6
    13
Question 13
13.
    • During the medical check-up of 36 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 69 kg
    • Class-Interval
      39 - 49
      49 - 59
      59 - 69
      69 - 79
      Frequency
      12
      5
      11
      8
  • (i)
    27
  • (ii)
    28
  • (iii)
    31
  • (iv)
    25
  • (v)
    29
Question 14
14.
    • During the medical check-up of 41 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 54 kg
    • Class-Interval
      36 - 45
      45 - 54
      54 - 63
      63 - 72
      72 - 81
      Frequency
      11
      9
      5
      8
      8
  • (i)
    19
  • (ii)
    20
  • (iii)
    22
  • (iv)
    24
  • (v)
    21
    Assignment Key
  •  1) (iii)
  •  2) (iv)
  •  3) (v)
  •  4) (v)
  •  5) (v)
  •  6) (v)
  •  7) (ii)
  •  8) (iv)
  •  9) (i)
  •  10) (i)
  •  11) (iii)
  •  12) (iii)
  •  13) (ii)
  •  14) (v)