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 - 39
      5
      40 - 49
      13
      50 - 59
      23
      60 - 69
      31
      70 - 79
      36
  • (i)
    Class-Interval
    30 - 39
    40 - 49
    50 - 59
    60 - 69
    70 - 79
    Frequency
    5
    8
    10
    8
    5
  • (ii)
    Class-Interval
    30 - 39
    40 - 49
    50 - 59
    60 - 69
    70 - 79
    Frequency
    5
    10
    8
    8
    5
  • (iii)
    Class-Interval
    30 - 39
    40 - 49
    50 - 59
    60 - 69
    70 - 79
    Frequency
    5
    5
    10
    8
    8
  • (iv)
    Class-Interval
    30 - 39
    40 - 49
    50 - 59
    60 - 69
    70 - 79
    Frequency
    5
    10
    10
    8
    5
  • (v)
    Class-Interval
    30 - 39
    40 - 49
    50 - 59
    60 - 69
    70 - 79
    Frequency
    5
    8
    15
    8
    5
Question 2
2.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      13 - 19
      15
      19 - 25
      21
      25 - 31
      31
      31 - 37
      41
      37 - 43
      57
      43 - 49
      68
  • (i)
    Class-Interval
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    Frequency
    15
    11
    10
    10
    16
    6
  • (ii)
    Class-Interval
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    Frequency
    15
    6
    10
    5
    16
    11
  • (iii)
    Class-Interval
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    Frequency
    15
    6
    6
    10
    16
    11
  • (iv)
    Class-Interval
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    Frequency
    15
    6
    10
    10
    16
    11
  • (v)
    Class-Interval
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    Frequency
    15
    10
    6
    10
    16
    11
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 - 15
      16 - 21
      22 - 27
      28 - 33
      34 - 39
      No. of Patients
      35
      45
      33
      30
      26
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 15
    35
    16 - 21
    68
    22 - 27
    113
    28 - 33
    143
    34 - 39
    169
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 15
    35
    16 - 21
    80
    22 - 27
    109
    28 - 33
    139
    34 - 39
    165
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 15
    35
    16 - 21
    76
    22 - 27
    109
    28 - 33
    139
    34 - 39
    165
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 15
    35
    16 - 21
    61
    22 - 27
    94
    28 - 33
    124
    34 - 39
    169
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 15
    35
    16 - 21
    80
    22 - 27
    113
    28 - 33
    143
    34 - 39
    169
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
      63
      23
      52
      12
      67
      54
      12
      29
  • (i)
    Age (in years)
    Cumulative Frequency
    10 - 20
    63
    20 - 30
    86
    30 - 40
    138
    40 - 50
    150
    50 - 60
    217
    60 - 70
    271
    70 - 80
    283
    80 - 90
    312
  • (ii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    63
    20 - 30
    86
    30 - 40
    136
    40 - 50
    148
    50 - 60
    215
    60 - 70
    269
    70 - 80
    281
    80 - 90
    310
  • (iii)
    Age (in years)
    Cumulative Frequency
    10 - 20
    63
    20 - 30
    92
    30 - 40
    144
    40 - 50
    156
    50 - 60
    223
    60 - 70
    277
    70 - 80
    289
    80 - 90
    312
  • (iv)
    Age (in years)
    Cumulative Frequency
    10 - 20
    63
    20 - 30
    86
    30 - 40
    98
    40 - 50
    150
    50 - 60
    217
    60 - 70
    271
    70 - 80
    283
    80 - 90
    312
  • (v)
    Age (in years)
    Cumulative Frequency
    10 - 20
    63
    20 - 30
    86
    30 - 40
    138
    40 - 50
    150
    50 - 60
    221
    60 - 70
    275
    70 - 80
    287
    80 - 90
    316
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
      6
      12
      13
      16
      5
      3
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    6
    231 - 261
    9
    262 - 292
    22
    293 - 323
    38
    324 - 354
    43
    355 - 385
    55
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    6
    231 - 261
    18
    262 - 292
    27
    293 - 323
    43
    324 - 354
    48
    355 - 385
    51
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    6
    231 - 261
    18
    262 - 292
    31
    293 - 323
    47
    324 - 354
    52
    355 - 385
    55
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    6
    231 - 261
    18
    262 - 292
    31
    293 - 323
    45
    324 - 354
    50
    355 - 385
    53
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 230
    6
    231 - 261
    19
    262 - 292
    31
    293 - 323
    47
    324 - 354
    52
    355 - 385
    55
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
      8
      19
      14
      18
      11
      20
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    8
    240 - 280
    22
    280 - 320
    41
    320 - 360
    59
    360 - 400
    70
    400 - 440
    90
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    8
    240 - 280
    27
    280 - 320
    41
    320 - 360
    59
    360 - 400
    70
    400 - 440
    90
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    8
    240 - 280
    27
    280 - 320
    36
    320 - 360
    54
    360 - 400
    65
    400 - 440
    85
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    8
    240 - 280
    28
    280 - 320
    42
    320 - 360
    60
    360 - 400
    71
    400 - 440
    90
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    8
    240 - 280
    27
    280 - 320
    41
    320 - 360
    54
    360 - 400
    65
    400 - 440
    85
Question 7
7.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      20 - 27
      28 - 35
      36 - 43
      44 - 51
      52 - 59
      frequency
      24
      5
      11
      17
      15
  • (i)
    class interval
    Cumulative Frequency
    20 - 27
    24
    28 - 35
    29
    36 - 43
    42
    44 - 51
    59
    52 - 59
    74
  • (ii)
    class interval
    Cumulative Frequency
    20 - 27
    24
    28 - 35
    29
    36 - 43
    40
    44 - 51
    57
    52 - 59
    72
  • (iii)
    class interval
    Cumulative Frequency
    20 - 27
    24
    28 - 35
    39
    36 - 43
    50
    44 - 51
    67
    52 - 59
    72
  • (iv)
    class interval
    Cumulative Frequency
    20 - 27
    24
    28 - 35
    35
    36 - 43
    40
    44 - 51
    57
    52 - 59
    72
  • (v)
    class interval
    Cumulative Frequency
    20 - 27
    24
    28 - 35
    27
    36 - 43
    38
    44 - 51
    55
    52 - 59
    70
Question 8
8.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      14 - 24
      24 - 34
      34 - 44
      44 - 54
      54 - 64
      frequency
      18
      6
      18
      24
      18
  • (i)
    class interval
    Cumulative Frequency
    14 - 24
    18
    24 - 34
    24
    34 - 44
    37
    44 - 54
    61
    54 - 64
    79
  • (ii)
    class interval
    Cumulative Frequency
    14 - 24
    18
    24 - 34
    36
    34 - 44
    54
    44 - 54
    78
    54 - 64
    84
  • (iii)
    class interval
    Cumulative Frequency
    14 - 24
    18
    24 - 34
    36
    34 - 44
    42
    44 - 54
    66
    54 - 64
    84
  • (iv)
    class interval
    Cumulative Frequency
    14 - 24
    18
    24 - 34
    24
    34 - 44
    42
    44 - 54
    66
    54 - 64
    84
  • (v)
    class interval
    Cumulative Frequency
    14 - 24
    18
    24 - 34
    29
    34 - 44
    47
    44 - 54
    71
    54 - 64
    89
Question 9
9.
    • Find the cumulative frequency of class
    • 21
      -
      29
    • .
    • Class-Interval
      12 - 20
      21 - 29
      30 - 38
      39 - 47
      48 - 56
      57 - 65
      Frequency
      17
      12
      6
      20
      12
      11
  • (i)
    30
  • (ii)
    26
  • (iii)
    29
  • (iv)
    28
  • (v)
    32
Question 10
10.
    • Find the cumulative frequency of class
    • 40
      -
      48
    • .
    • Class-Interval
      24 - 32
      32 - 40
      40 - 48
      48 - 56
      Frequency
      12
      10
      5
      8
  • (i)
    27
  • (ii)
    24
  • (iii)
    30
  • (iv)
    28
  • (v)
    26
Question 11
11.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      15 - 23
      15
      23 - 31
      23
      31 - 39
      38
      39 - 47
      51
      47 - 55
      60
      55 - 63
      71
      63 - 71
      85
  • (i)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    55 - 63
    63 - 71
    Frequency
    15
    8
    13
    13
    9
    11
    14
  • (ii)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    55 - 63
    63 - 71
    Frequency
    15
    8
    15
    13
    9
    11
    14
  • (iii)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    55 - 63
    63 - 71
    Frequency
    15
    8
    15
    9
    9
    11
    14
  • (iv)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    55 - 63
    63 - 71
    Frequency
    15
    14
    15
    13
    9
    11
    8
  • (v)
    Class-Interval
    15 - 23
    23 - 31
    31 - 39
    39 - 47
    47 - 55
    55 - 63
    63 - 71
    Frequency
    15
    15
    8
    13
    9
    11
    14
Question 12
12.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      29 - 33
      59
      33 - 37
      52
      37 - 41
      38
      41 - 45
      25
      45 - 49
      17
      49 - 53
      8
  • (i)
    Class-Interval
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    45 - 49
    49 - 53
    Frequency
    7
    14
    13
    5
    9
    8
  • (ii)
    Class-Interval
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    45 - 49
    49 - 53
    Frequency
    7
    14
    13
    8
    9
    8
  • (iii)
    Class-Interval
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    45 - 49
    49 - 53
    Frequency
    7
    8
    13
    8
    9
    14
  • (iv)
    Class-Interval
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    45 - 49
    49 - 53
    Frequency
    7
    14
    15
    8
    9
    8
  • (v)
    Class-Interval
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    45 - 49
    49 - 53
    Frequency
    7
    13
    14
    8
    9
    8
Question 13
13.
    • 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 less than 62 kg
    • Class-Interval
      32 - 38
      38 - 44
      44 - 50
      50 - 56
      56 - 62
      62 - 68
      Frequency
      6
      6
      8
      8
      6
      7
  • (i)
    34
  • (ii)
    32
  • (iii)
    35
  • (iv)
    36
  • (v)
    33
Question 14
14.
    • During the medical check-up of 32 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 48 kg
    • Class-Interval
      39 - 48
      48 - 57
      57 - 66
      66 - 75
      Frequency
      7
      8
      6
      11
  • (i)
    28
  • (ii)
    24
  • (iii)
    23
  • (iv)
    26
  • (v)
    25
    Assignment Key
  •  1) (i)
  •  2) (iv)
  •  3) (v)
  •  4) (i)
  •  5) (iii)
  •  6) (ii)
  •  7) (ii)
  •  8) (iv)
  •  9) (iii)
  •  10) (i)
  •  11) (ii)
  •  12) (ii)
  •  13) (i)
  •  14) (v)