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
      31 - 35
      5
      36 - 40
      15
      41 - 45
      28
      46 - 50
      37
      51 - 55
      44
      56 - 60
      54
  • (i)
    Class-Interval
    31 - 35
    36 - 40
    41 - 45
    46 - 50
    51 - 55
    56 - 60
    Frequency
    5
    13
    10
    9
    7
    10
  • (ii)
    Class-Interval
    31 - 35
    36 - 40
    41 - 45
    46 - 50
    51 - 55
    56 - 60
    Frequency
    5
    10
    13
    9
    7
    10
  • (iii)
    Class-Interval
    31 - 35
    36 - 40
    41 - 45
    46 - 50
    51 - 55
    56 - 60
    Frequency
    5
    10
    8
    9
    7
    10
  • (iv)
    Class-Interval
    31 - 35
    36 - 40
    41 - 45
    46 - 50
    51 - 55
    56 - 60
    Frequency
    5
    10
    13
    11
    7
    10
Question 2
2.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      38 - 44
      13
      44 - 50
      29
      50 - 56
      42
      56 - 62
      51
      62 - 68
      60
      68 - 74
      74
      74 - 80
      86
  • (i)
    Class-Interval
    38 - 44
    44 - 50
    50 - 56
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    Frequency
    13
    16
    13
    11
    9
    14
    12
  • (ii)
    Class-Interval
    38 - 44
    44 - 50
    50 - 56
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    Frequency
    13
    13
    16
    9
    9
    14
    12
  • (iii)
    Class-Interval
    38 - 44
    44 - 50
    50 - 56
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    Frequency
    13
    12
    13
    9
    9
    14
    16
  • (iv)
    Class-Interval
    38 - 44
    44 - 50
    50 - 56
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    Frequency
    13
    16
    13
    9
    9
    14
    12
  • (v)
    Class-Interval
    38 - 44
    44 - 50
    50 - 56
    56 - 62
    62 - 68
    68 - 74
    74 - 80
    Frequency
    13
    16
    10
    9
    9
    14
    12
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
      No. of Patients
      50
      43
      24
      67
      54
  • (i)
    Age (in years)
    Cumulative Frequency
    20 - 25
    50
    26 - 31
    88
    32 - 37
    112
    38 - 43
    179
    44 - 49
    233
  • (ii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    50
    26 - 31
    93
    32 - 37
    120
    38 - 43
    187
    44 - 49
    241
  • (iii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    50
    26 - 31
    74
    32 - 37
    117
    38 - 43
    184
    44 - 49
    238
  • (iv)
    Age (in years)
    Cumulative Frequency
    20 - 25
    50
    26 - 31
    93
    32 - 37
    117
    38 - 43
    184
    44 - 49
    238
  • (v)
    Age (in years)
    Cumulative Frequency
    20 - 25
    50
    26 - 31
    104
    32 - 37
    128
    38 - 43
    195
    44 - 49
    238
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
      84
      63
      68
      72
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 15
    84
    15 - 20
    147
    20 - 25
    210
    25 - 30
    282
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 15
    84
    15 - 20
    147
    20 - 25
    215
    25 - 30
    287
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 15
    84
    15 - 20
    150
    20 - 25
    218
    25 - 30
    290
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 15
    72
    15 - 20
    135
    20 - 25
    203
    25 - 30
    287
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 15
    84
    15 - 20
    152
    20 - 25
    215
    25 - 30
    287
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
      17
      14
      5
      11
      8
      16
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    17
    241 - 281
    33
    282 - 322
    38
    323 - 363
    49
    364 - 404
    57
    405 - 445
    71
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    17
    241 - 281
    31
    282 - 322
    40
    323 - 363
    51
    364 - 404
    59
    405 - 445
    75
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    17
    241 - 281
    31
    282 - 322
    36
    323 - 363
    47
    364 - 404
    55
    405 - 445
    71
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    17
    241 - 281
    31
    282 - 322
    36
    323 - 363
    51
    364 - 404
    59
    405 - 445
    75
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    17
    241 - 281
    22
    282 - 322
    36
    323 - 363
    47
    364 - 404
    55
    405 - 445
    71
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 - 330
      330 - 360
      360 - 390
      390 - 420
      420 - 450
      450 - 480
      Labourers
      13
      8
      7
      17
      11
      3
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    300 - 330
    13
    330 - 360
    21
    360 - 390
    28
    390 - 420
    49
    420 - 450
    60
    450 - 480
    63
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    300 - 330
    13
    330 - 360
    21
    360 - 390
    28
    390 - 420
    45
    420 - 450
    56
    450 - 480
    59
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    300 - 330
    13
    330 - 360
    21
    360 - 390
    30
    390 - 420
    47
    420 - 450
    58
    450 - 480
    61
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    300 - 330
    13
    330 - 360
    20
    360 - 390
    28
    390 - 420
    45
    420 - 450
    56
    450 - 480
    59
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    300 - 330
    13
    330 - 360
    16
    360 - 390
    23
    390 - 420
    40
    420 - 450
    51
    450 - 480
    59
Question 7
7.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      41 - 50
      51 - 60
      61 - 70
      71 - 80
      frequency
      9
      23
      12
      19
  • (i)
    class interval
    Cumulative Frequency
    41 - 50
    9
    51 - 60
    32
    61 - 70
    47
    71 - 80
    66
  • (ii)
    class interval
    Cumulative Frequency
    41 - 50
    9
    51 - 60
    37
    61 - 70
    49
    71 - 80
    68
  • (iii)
    class interval
    Cumulative Frequency
    41 - 50
    19
    51 - 60
    42
    61 - 70
    54
    71 - 80
    63
  • (iv)
    class interval
    Cumulative Frequency
    41 - 50
    9
    51 - 60
    21
    61 - 70
    44
    71 - 80
    63
  • (v)
    class interval
    Cumulative Frequency
    41 - 50
    9
    51 - 60
    32
    61 - 70
    44
    71 - 80
    63
Question 8
8.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      13 - 19
      19 - 25
      25 - 31
      31 - 37
      37 - 43
      43 - 49
      49 - 55
      frequency
      22
      22
      5
      9
      6
      14
      14
  • (i)
    class interval
    Cumulative Frequency
    13 - 19
    22
    19 - 25
    44
    25 - 31
    46
    31 - 37
    55
    37 - 43
    61
    43 - 49
    75
    49 - 55
    89
  • (ii)
    class interval
    Cumulative Frequency
    13 - 19
    22
    19 - 25
    44
    25 - 31
    49
    31 - 37
    58
    37 - 43
    64
    43 - 49
    78
    49 - 55
    92
  • (iii)
    class interval
    Cumulative Frequency
    13 - 19
    22
    19 - 25
    36
    25 - 31
    41
    31 - 37
    50
    37 - 43
    56
    43 - 49
    70
    49 - 55
    92
  • (iv)
    class interval
    Cumulative Frequency
    13 - 19
    22
    19 - 25
    44
    25 - 31
    49
    31 - 37
    62
    37 - 43
    68
    43 - 49
    82
    49 - 55
    96
  • (v)
    class interval
    Cumulative Frequency
    13 - 19
    22
    19 - 25
    27
    25 - 31
    49
    31 - 37
    58
    37 - 43
    64
    43 - 49
    78
    49 - 55
    92
Question 9
9.
    • Find the cumulative frequency of class
    • 71
      -
      79
    • .
    • Class-Interval
      26 - 34
      35 - 43
      44 - 52
      53 - 61
      62 - 70
      71 - 79
      Frequency
      23
      18
      12
      7
      16
      25
  • (i)
    104
  • (ii)
    101
  • (iii)
    102
  • (iv)
    100
  • (v)
    99
Question 10
10.
    • Find the cumulative frequency of class
    • 52
      -
      61
    • .
    • Class-Interval
      43 - 52
      52 - 61
      61 - 70
      70 - 79
      79 - 88
      88 - 97
      97 - 106
      106 - 115
      Frequency
      23
      7
      5
      22
      14
      14
      11
      22
  • (i)
    32
  • (ii)
    30
  • (iii)
    31
  • (iv)
    27
  • (v)
    29
Question 11
11.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      28 - 35
      8
      35 - 42
      16
      42 - 49
      21
      49 - 56
      34
      56 - 63
      49
      63 - 70
      62
      70 - 77
      76
  • (i)
    Class-Interval
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    Frequency
    8
    8
    5
    8
    15
    13
    14
  • (ii)
    Class-Interval
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    Frequency
    8
    5
    8
    13
    15
    13
    14
  • (iii)
    Class-Interval
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    Frequency
    8
    8
    5
    13
    15
    13
    14
  • (iv)
    Class-Interval
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    Frequency
    8
    14
    5
    13
    15
    13
    8
  • (v)
    Class-Interval
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    63 - 70
    70 - 77
    Frequency
    8
    8
    1
    13
    15
    13
    14
Question 12
12.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      35 - 40
      60
      40 - 45
      47
      45 - 50
      40
      50 - 55
      31
      55 - 60
      15
  • (i)
    Class-Interval
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    55 - 60
    Frequency
    13
    7
    6
    16
    15
  • (ii)
    Class-Interval
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    55 - 60
    Frequency
    13
    12
    9
    16
    15
  • (iii)
    Class-Interval
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    55 - 60
    Frequency
    13
    15
    9
    16
    7
  • (iv)
    Class-Interval
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    55 - 60
    Frequency
    13
    7
    9
    16
    15
  • (v)
    Class-Interval
    35 - 40
    40 - 45
    45 - 50
    50 - 55
    55 - 60
    Frequency
    13
    9
    7
    16
    15
Question 13
13.
    • During the medical check-up of 47 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 67 kg
    • Class-Interval
      32 - 39
      39 - 46
      46 - 53
      53 - 60
      60 - 67
      Frequency
      11
      10
      9
      8
      9
  • (i)
    50
  • (ii)
    48
  • (iii)
    46
  • (iv)
    47
  • (v)
    44
Question 14
14.
    • During the medical check-up of 48 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 77 kg
    • Class-Interval
      37 - 47
      47 - 57
      57 - 67
      67 - 77
      77 - 87
      87 - 97
      Frequency
      11
      6
      9
      6
      8
      8
  • (i)
    15
  • (ii)
    19
  • (iii)
    17
  • (iv)
    14
  • (v)
    16
    Assignment Key

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