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
      23 - 29
      14
      30 - 36
      26
      37 - 43
      37
      44 - 50
      45
      51 - 57
      52
  • (i)
    Class-Interval
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    Frequency
    14
    11
    12
    8
    7
  • (ii)
    Class-Interval
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    Frequency
    14
    12
    11
    8
    7
  • (iii)
    Class-Interval
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    Frequency
    14
    17
    11
    8
    7
  • (iv)
    Class-Interval
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    Frequency
    14
    7
    11
    8
    12
  • (v)
    Class-Interval
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    Frequency
    14
    12
    15
    8
    7
Question 2
2.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      22 - 29
      15
      29 - 36
      25
      36 - 43
      33
      43 - 50
      47
      50 - 57
      52
      57 - 64
      68
      64 - 71
      79
      71 - 78
      88
  • (i)
    Class-Interval
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    64 - 71
    71 - 78
    Frequency
    15
    10
    14
    8
    5
    16
    11
    9
  • (ii)
    Class-Interval
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    64 - 71
    71 - 78
    Frequency
    15
    10
    8
    14
    1
    16
    11
    9
  • (iii)
    Class-Interval
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    64 - 71
    71 - 78
    Frequency
    15
    10
    8
    14
    5
    16
    11
    9
  • (iv)
    Class-Interval
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    64 - 71
    71 - 78
    Frequency
    15
    10
    6
    14
    5
    16
    11
    9
  • (v)
    Class-Interval
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    64 - 71
    71 - 78
    Frequency
    15
    9
    8
    14
    5
    16
    11
    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
      No. of Patients
      83
      73
      28
      32
  • (i)
    Age (in years)
    Cumulative Frequency
    20 - 25
    83
    26 - 31
    156
    32 - 37
    188
    38 - 43
    220
  • (ii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    83
    26 - 31
    153
    32 - 37
    181
    38 - 43
    213
  • (iii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    83
    26 - 31
    156
    32 - 37
    184
    38 - 43
    216
  • (iv)
    Age (in years)
    Cumulative Frequency
    20 - 25
    83
    26 - 31
    111
    32 - 37
    184
    38 - 43
    216
  • (v)
    Age (in years)
    Cumulative Frequency
    20 - 25
    32
    26 - 31
    105
    32 - 37
    133
    38 - 43
    216
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)
      20 - 25
      25 - 30
      30 - 35
      35 - 40
      40 - 45
      45 - 50
      No. of Patients
      25
      42
      12
      53
      49
      40
  • (i)
    Age (in years)
    Cumulative Frequency
    20 - 25
    25
    25 - 30
    37
    30 - 35
    79
    35 - 40
    132
    40 - 45
    181
    45 - 50
    221
  • (ii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    25
    25 - 30
    67
    30 - 35
    79
    35 - 40
    127
    40 - 45
    176
    45 - 50
    216
  • (iii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    25
    25 - 30
    67
    30 - 35
    77
    35 - 40
    130
    40 - 45
    179
    45 - 50
    219
  • (iv)
    Age (in years)
    Cumulative Frequency
    20 - 25
    25
    25 - 30
    65
    30 - 35
    77
    35 - 40
    130
    40 - 45
    179
    45 - 50
    221
  • (v)
    Age (in years)
    Cumulative Frequency
    20 - 25
    25
    25 - 30
    67
    30 - 35
    79
    35 - 40
    132
    40 - 45
    181
    45 - 50
    221
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)
      300 - 320
      321 - 341
      342 - 362
      363 - 383
      384 - 404
      405 - 425
      Labourers
      4
      14
      14
      5
      14
      15
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    300 - 320
    4
    321 - 341
    18
    342 - 362
    32
    363 - 383
    42
    384 - 404
    56
    405 - 425
    71
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    300 - 320
    4
    321 - 341
    18
    342 - 362
    34
    363 - 383
    39
    384 - 404
    53
    405 - 425
    68
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    300 - 320
    4
    321 - 341
    18
    342 - 362
    32
    363 - 383
    37
    384 - 404
    51
    405 - 425
    66
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    300 - 320
    4
    321 - 341
    19
    342 - 362
    33
    363 - 383
    38
    384 - 404
    52
    405 - 425
    66
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 - 320
      320 - 340
      340 - 360
      360 - 380
      380 - 400
      400 - 420
      Labourers
      4
      6
      4
      5
      15
      17
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    300 - 320
    4
    320 - 340
    10
    340 - 360
    14
    360 - 380
    19
    380 - 400
    34
    400 - 420
    51
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    300 - 320
    4
    320 - 340
    8
    340 - 360
    14
    360 - 380
    19
    380 - 400
    34
    400 - 420
    51
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    300 - 320
    4
    320 - 340
    10
    340 - 360
    11
    360 - 380
    16
    380 - 400
    31
    400 - 420
    48
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    300 - 320
    4
    320 - 340
    21
    340 - 360
    25
    360 - 380
    30
    380 - 400
    45
    400 - 420
    51
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    300 - 320
    4
    320 - 340
    10
    340 - 360
    14
    360 - 380
    21
    380 - 400
    36
    400 - 420
    53
Question 7
7.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      21 - 29
      30 - 38
      39 - 47
      48 - 56
      frequency
      14
      6
      13
      10
  • (i)
    class interval
    Cumulative Frequency
    21 - 29
    14
    30 - 38
    20
    39 - 47
    33
    48 - 56
    43
  • (ii)
    class interval
    Cumulative Frequency
    21 - 29
    10
    30 - 38
    16
    39 - 47
    29
    48 - 56
    43
  • (iii)
    class interval
    Cumulative Frequency
    21 - 29
    14
    30 - 38
    23
    39 - 47
    36
    48 - 56
    46
  • (iv)
    class interval
    Cumulative Frequency
    21 - 29
    14
    30 - 38
    27
    39 - 47
    33
    48 - 56
    43
  • (v)
    class interval
    Cumulative Frequency
    21 - 29
    14
    30 - 38
    20
    39 - 47
    35
    48 - 56
    45
Question 8
8.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      25 - 30
      30 - 35
      35 - 40
      40 - 45
      45 - 50
      50 - 55
      55 - 60
      60 - 65
      frequency
      24
      16
      9
      7
      21
      25
      22
      12
  • (i)
    class interval
    Cumulative Frequency
    25 - 30
    24
    30 - 35
    40
    35 - 40
    47
    40 - 45
    56
    45 - 50
    77
    50 - 55
    102
    55 - 60
    124
    60 - 65
    136
  • (ii)
    class interval
    Cumulative Frequency
    25 - 30
    24
    30 - 35
    40
    35 - 40
    49
    40 - 45
    56
    45 - 50
    74
    50 - 55
    99
    55 - 60
    121
    60 - 65
    133
  • (iii)
    class interval
    Cumulative Frequency
    25 - 30
    24
    30 - 35
    36
    35 - 40
    45
    40 - 45
    52
    45 - 50
    73
    50 - 55
    98
    55 - 60
    120
    60 - 65
    136
  • (iv)
    class interval
    Cumulative Frequency
    25 - 30
    24
    30 - 35
    40
    35 - 40
    53
    40 - 45
    60
    45 - 50
    81
    50 - 55
    106
    55 - 60
    128
    60 - 65
    140
  • (v)
    class interval
    Cumulative Frequency
    25 - 30
    24
    30 - 35
    40
    35 - 40
    49
    40 - 45
    56
    45 - 50
    77
    50 - 55
    102
    55 - 60
    124
    60 - 65
    136
Question 9
9.
    • Find the cumulative frequency of class
    • 32
      -
      40
    • .
    • Class-Interval
      14 - 22
      23 - 31
      32 - 40
      41 - 49
      Frequency
      13
      24
      14
      17
  • (i)
    48
  • (ii)
    50
  • (iii)
    53
  • (iv)
    51
  • (v)
    52
Question 10
10.
    • Find the cumulative frequency of class
    • 27
      -
      37
    • .
    • Class-Interval
      17 - 27
      27 - 37
      37 - 47
      47 - 57
      57 - 67
      Frequency
      6
      12
      21
      9
      7
  • (i)
    18
  • (ii)
    20
  • (iii)
    15
  • (iv)
    19
  • (v)
    17
Question 11
11.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      16 - 26
      8
      26 - 36
      13
      36 - 46
      26
      46 - 56
      37
      56 - 66
      50
  • (i)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    8
    5
    8
    11
    13
  • (ii)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    8
    5
    13
    11
    13
  • (iii)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    8
    9
    13
    11
    13
  • (iv)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    8
    13
    13
    11
    5
  • (v)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    8
    13
    5
    11
    13
Question 12
12.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      40 - 50
      65
      50 - 60
      51
      60 - 70
      39
      70 - 80
      23
      80 - 90
      11
  • (i)
    Class-Interval
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Frequency
    14
    17
    16
    12
    11
  • (ii)
    Class-Interval
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Frequency
    14
    16
    12
    12
    11
  • (iii)
    Class-Interval
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Frequency
    14
    12
    16
    12
    11
  • (iv)
    Class-Interval
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Frequency
    14
    12
    12
    12
    11
  • (v)
    Class-Interval
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Frequency
    14
    11
    16
    12
    12
Question 13
13.
    • During the medical check-up of 29 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 64 kg
    • Class-Interval
      36 - 43
      43 - 50
      50 - 57
      57 - 64
      Frequency
      9
      8
      5
      7
  • (i)
    30
  • (ii)
    28
  • (iii)
    29
  • (iv)
    31
  • (v)
    27
Question 14
14.
    • During the medical check-up of 50 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 50 kg
    • Class-Interval
      30 - 35
      35 - 40
      40 - 45
      45 - 50
      50 - 55
      55 - 60
      Frequency
      5
      11
      5
      11
      6
      12
  • (i)
    21
  • (ii)
    16
  • (iii)
    19
  • (iv)
    17
  • (v)
    18
    Assignment Key
  •  1) (ii)
  •  2) (iii)
  •  3) (iii)
  •  4) (v)
  •  5) (iii)
  •  6) (i)
  •  7) (i)
  •  8) (v)
  •  9) (iv)
  •  10) (i)
  •  11) (ii)
  •  12) (iii)
  •  13) (iii)
  •  14) (v)