EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
    • Marks obtained by 126 students of a class in an examination are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    No. of students
    7
    8
    12
    21
    20
    16
    21
    21
  • (ii)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    No. of students
    7
    8
    21
    12
    20
    16
    21
    21
  • (iii)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    No. of students
    7
    21
    12
    21
    20
    16
    21
    8
  • (iv)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    No. of students
    7
    8
    15
    21
    20
    16
    21
    21
  • (v)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    No. of students
    7
    8
    12
    21
    18
    16
    21
    21
Question 2
2.
    • Weights of 14 students (in kg) are given below. Find the mode weight.
      • 51
      • 42
      • 45
      • 50
      • 54
      • 50
      • 51
      • 40
      • 51
      • 52
      • 60
      • 42
      • 51
      • 51
  • (i)
    53
    kg
  • (ii)
    51
    kg
  • (iii)
    50
    kg
  • (iv)
    52
    kg
  • (v)
    49
    kg
Question 3
3.
    • Rainfall of 85 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    10 - 18
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    No. of days
    16
    16
    9
    9
    6
    12
    17
  • (ii)
    Rainfall (in mm)
    10 - 18
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    No. of days
    16
    17
    11
    9
    6
    12
    16
  • (iii)
    Rainfall (in mm)
    10 - 18
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    No. of days
    16
    17
    9
    9
    6
    12
    16
  • (iv)
    Rainfall (in mm)
    10 - 18
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    No. of days
    16
    9
    17
    9
    6
    12
    16
  • (v)
    Rainfall (in mm)
    10 - 18
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    64 - 72
    No. of days
    16
    17
    9
    4
    6
    12
    16
Question 4
4.
Rainfall of 201 days (in mm) are given below. Identify the class mark table for the given histogram.
  • (i)
    Rainfall (in mm)
    16
    24
    32
    40
    48
    56
    64
    72
    No. of days
    15
    6
    49
    33
    23
    45
    18
    12
  • (ii)
    Rainfall (in mm)
    16
    24
    32
    40
    48
    56
    64
    72
    No. of days
    15
    6
    33
    49
    23
    45
    18
    12
  • (iii)
    Rainfall (in mm)
    16
    24
    32
    40
    48
    56
    64
    72
    No. of days
    15
    12
    33
    49
    23
    45
    18
    6
  • (iv)
    Rainfall (in mm)
    16
    24
    32
    40
    48
    56
    64
    72
    No. of days
    15
    6
    29
    49
    23
    45
    18
    12
  • (v)
    Rainfall (in mm)
    16
    24
    32
    40
    48
    56
    64
    72
    No. of days
    15
    6
    33
    49
    25
    45
    18
    12
Question 5
5.
    • Given the mean of
    • 11
    • samples as
    • 10
      1
      11
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 20
    • ?
  • (i)
    25
    3
  • (ii)
    89
    11
  • (iii)
    93
    11
  • (iv)
    107
    13
  • (v)
    91
    11
Question 6
6.
Greater than cumulative curves are drawn using
  • (i)
    mid values of classes and greater than cumulative frequencies
  • (ii)
    lower boundaries of classes and greater than cumulative frequencies
  • (iii)
    upper boundaries of classes and less than cumulative frequencies
  • (iv)
    upper boundaries of classes and greater than cumulative frequencies
Question 7
7.
Following bar graph gives the average temperature of a place during a week. Find the day that has minimum temperature.
  • (i)
    Wed.
  • (ii)
    Thurs.
  • (iii)
    Mon.
  • (iv)
    Tues.
  • (v)
    Sat.
Question 8
8.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Class-Interval
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    Frequency
    20
    18
    89
    56
    38
  • (ii)
    Class-Interval
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    Frequency
    20
    89
    20
    56
    38
  • (iii)
    Class-Interval
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    Frequency
    20
    38
    89
    56
    20
  • (iv)
    Class-Interval
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    Frequency
    20
    20
    89
    56
    38
  • (v)
    Class-Interval
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    Frequency
    20
    20
    84
    56
    38
Question 9
9.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      27 - 31
      65
      31 - 35
      59
      35 - 39
      53
      39 - 43
      37
      43 - 47
      22
      47 - 51
      9
  • (i)
    Class-Interval
    27 - 31
    31 - 35
    35 - 39
    39 - 43
    43 - 47
    47 - 51
    Frequency
    6
    16
    6
    15
    13
    9
  • (ii)
    Class-Interval
    27 - 31
    31 - 35
    35 - 39
    39 - 43
    43 - 47
    47 - 51
    Frequency
    6
    9
    16
    15
    13
    6
  • (iii)
    Class-Interval
    27 - 31
    31 - 35
    35 - 39
    39 - 43
    43 - 47
    47 - 51
    Frequency
    6
    6
    18
    15
    13
    9
  • (iv)
    Class-Interval
    27 - 31
    31 - 35
    35 - 39
    39 - 43
    43 - 47
    47 - 51
    Frequency
    6
    6
    16
    20
    13
    9
  • (v)
    Class-Interval
    27 - 31
    31 - 35
    35 - 39
    39 - 43
    43 - 47
    47 - 51
    Frequency
    6
    6
    16
    15
    13
    9
Question 10
10.
The daily income of 35 workers of a factory is given below. Identify the frequency distribution table for the given less than ogive.
  • (i)
    Daily income (in Rs)
    less than 110
    less than 120
    less than 130
    less than 140
    less than 150
    No. of workers
    8
    16
    22
    28
    35
  • (ii)
    Daily income (in Rs)
    less than 110
    less than 120
    less than 130
    less than 140
    less than 150
    No. of workers
    8
    14
    21
    27
    35
  • (iii)
    Daily income (in Rs)
    less than 110
    less than 120
    less than 130
    less than 140
    less than 150
    No. of workers
    8
    15
    26
    32
    40
  • (iv)
    Daily income (in Rs)
    less than 110
    less than 120
    less than 130
    less than 140
    less than 150
    No. of workers
    8
    15
    21
    27
    35
  • (v)
    Daily income (in Rs)
    less than 110
    less than 120
    less than 130
    less than 140
    less than 150
    No. of workers
    8
    17
    23
    29
    37
Question 11
11.
    • If the sum of the following frequency distribution is
    • 42
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      20 - 26
      2
      27 - 33
      8
      34 - 40
      3
      41 - 47
      8
      48 - 54
      3
      55 - 61
      7
      62 - 68
      8
      69 - 75
      x
  • (i)
    2
  • (ii)
    3
  • (iii)
    5
  • (iv)
    4
  • (v)
    0
Question 12
12.
Temperatures of 150 days (in °C) are given below. Identify the class mark table for the given histogram.
  • (i)
    Temperature (in degree)
    35.5
    43.5
    51.5
    59.5
    67.5
    No. of days
    21
    26
    36
    32
    35
  • (ii)
    Temperature (in degree)
    35.5
    43.5
    51.5
    59.5
    67.5
    No. of days
    21
    35
    36
    32
    26
  • (iii)
    Temperature (in degree)
    35.5
    43.5
    51.5
    59.5
    67.5
    No. of days
    21
    37
    36
    32
    26
  • (iv)
    Temperature (in degree)
    35.5
    43.5
    51.5
    59.5
    67.5
    No. of days
    21
    35
    34
    32
    26
  • (v)
    Temperature (in degree)
    35.5
    43.5
    51.5
    59.5
    67.5
    No. of days
    21
    36
    35
    32
    26
Question 13
13.
    • Daily wages of 160 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    240 - 249
    250 - 259
    260 - 269
    270 - 279
    280 - 289
    No. of labourers
    47
    45
    26
    19
    27
  • (ii)
    Daily wage (in Rs)
    240 - 249
    250 - 259
    260 - 269
    270 - 279
    280 - 289
    No. of labourers
    47
    27
    22
    19
    45
  • (iii)
    Daily wage (in Rs)
    240 - 249
    250 - 259
    260 - 269
    270 - 279
    280 - 289
    No. of labourers
    47
    40
    22
    19
    27
  • (iv)
    Daily wage (in Rs)
    240 - 249
    250 - 259
    260 - 269
    270 - 279
    280 - 289
    No. of labourers
    47
    22
    45
    19
    27
  • (v)
    Daily wage (in Rs)
    240 - 249
    250 - 259
    260 - 269
    270 - 279
    280 - 289
    No. of labourers
    47
    45
    22
    19
    27
Question 14
14.
On a certain day, the temperature in a city was recorded as shown below. Find the time that has maximum temperature.
  • (i)
    3 p.m.
  • (ii)
    5 p.m.
  • (iii)
    1 p.m.
  • (iv)
    9 a.m.
  • (v)
    11 a.m.
Question 15
15.
    • Heights of 249 plants (in cm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Height (in cm)
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    82 - 88
    88 - 94
    94 - 100
    100 - 106
    No. of plants
    31
    8
    38
    49
    37
    20
    40
    26
  • (ii)
    Height (in cm)
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    82 - 88
    88 - 94
    94 - 100
    100 - 106
    No. of plants
    31
    26
    42
    49
    37
    20
    40
    8
  • (iii)
    Height (in cm)
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    82 - 88
    88 - 94
    94 - 100
    100 - 106
    No. of plants
    31
    26
    38
    49
    37
    20
    40
    8
  • (iv)
    Height (in cm)
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    82 - 88
    88 - 94
    94 - 100
    100 - 106
    No. of plants
    31
    26
    38
    49
    40
    20
    40
    8
  • (v)
    Height (in cm)
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    82 - 88
    88 - 94
    94 - 100
    100 - 106
    No. of plants
    31
    26
    49
    38
    37
    20
    40
    8
Question 16
16.
The marks obtained by Rajesh in his annual exam are shown below. Find the subject that has 67 score.
  • (i)
    Social Studies
  • (ii)
    Telugu
  • (iii)
    Science
  • (iv)
    Sanskrit
  • (v)
    French
Question 17
17.
    • The given ogive represents the heights of workers (in cm) in a factory.
    • Find the number of workers whose height is less than
    • 164 cm
  • (i)
    23
  • (ii)
    18
  • (iii)
    27
  • (iv)
    28
  • (v)
    19
Question 18
18.
    • Scores of 79 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Score
    88 - 96
    97 - 105
    106 - 114
    115 - 123
    124 - 132
    No. of students
    12
    14
    5
    36
    12
  • (ii)
    Score
    88 - 96
    97 - 105
    106 - 114
    115 - 123
    124 - 132
    No. of students
    12
    5
    10
    36
    12
  • (iii)
    Score
    88 - 96
    97 - 105
    106 - 114
    115 - 123
    124 - 132
    No. of students
    12
    9
    14
    36
    12
  • (iv)
    Score
    88 - 96
    97 - 105
    106 - 114
    115 - 123
    124 - 132
    No. of students
    12
    5
    14
    36
    12
  • (v)
    Score
    88 - 96
    97 - 105
    106 - 114
    115 - 123
    124 - 132
    No. of students
    12
    12
    14
    36
    5
Question 19
19.
    • Rainfall of 222 days (in mm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Rainfall (in mm)
    9 - 16
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    No. of days
    11
    29
    39
    36
    13
    25
    39
    30
  • (ii)
    Rainfall (in mm)
    9 - 16
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    No. of days
    11
    30
    39
    36
    13
    25
    39
    29
  • (iii)
    Rainfall (in mm)
    9 - 16
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    No. of days
    11
    30
    39
    36
    15
    25
    39
    29
  • (iv)
    Rainfall (in mm)
    9 - 16
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    No. of days
    11
    30
    42
    36
    13
    25
    39
    29
  • (v)
    Rainfall (in mm)
    9 - 16
    16 - 23
    23 - 30
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    No. of days
    11
    30
    36
    39
    13
    25
    39
    29
Question 20
20.
    • Daily wages of 64 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    202 - 211
    212 - 221
    222 - 231
    232 - 241
    242 - 251
    252 - 261
    No. of labourers
    8
    7
    10
    15
    9
    15
  • (ii)
    Daily wage (in Rs)
    202 - 211
    212 - 221
    222 - 231
    232 - 241
    242 - 251
    252 - 261
    No. of labourers
    8
    10
    10
    15
    9
    15
  • (iii)
    Daily wage (in Rs)
    202 - 211
    212 - 221
    222 - 231
    232 - 241
    242 - 251
    252 - 261
    No. of labourers
    8
    10
    7
    19
    9
    15
  • (iv)
    Daily wage (in Rs)
    202 - 211
    212 - 221
    222 - 231
    232 - 241
    242 - 251
    252 - 261
    No. of labourers
    8
    15
    7
    15
    9
    10
  • (v)
    Daily wage (in Rs)
    202 - 211
    212 - 221
    222 - 231
    232 - 241
    242 - 251
    252 - 261
    No. of labourers
    8
    10
    7
    15
    9
    15
Question 21
21.
    • During the medical check-up of 68 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 91 kg
    • Class-Interval
      35 - 43
      43 - 51
      51 - 59
      59 - 67
      67 - 75
      75 - 83
      83 - 91
      91 - 99
      Frequency
      11
      9
      10
      5
      5
      7
      9
      12
  • (i)
    57
  • (ii)
    58
  • (iii)
    54
  • (iv)
    55
  • (v)
    56
Question 22
22.
On a certain day, the temperature in a city was recorded as shown below. Find the time that has minimum temperature.
  • (i)
    3 p.m.
  • (ii)
    7 a.m.
  • (iii)
    1 p.m.
  • (iv)
    9 a.m.
  • (v)
    5 a.m.
Question 23
23.
If the length of the class is 8, then the number of class intervals needed to represent data with range 50 is
  • (i)
    7
  • (ii)
    8
  • (iii)
    4
  • (iv)
    9
  • (v)
    6
Question 24
24.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      41 - 51
      52 - 62
      63 - 73
      74 - 84
      85 - 95
      Frequency
      15
      27
      12
      26
      7
  • (i)
    87
  • (ii)
    89
  • (iii)
    86
  • (iv)
    88
  • (v)
    85
Question 25
25.
    • Rainfall of 164 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    9 - 14
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    No. of days
    33
    19
    7
    26
    19
    17
    31
    8
  • (ii)
    Rainfall (in mm)
    9 - 14
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    No. of days
    33
    8
    11
    26
    19
    17
    31
    19
  • (iii)
    Rainfall (in mm)
    9 - 14
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    No. of days
    33
    19
    11
    26
    19
    17
    31
    8
  • (iv)
    Rainfall (in mm)
    9 - 14
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    No. of days
    33
    19
    11
    26
    15
    17
    31
    8
  • (v)
    Rainfall (in mm)
    9 - 14
    14 - 19
    19 - 24
    24 - 29
    29 - 34
    34 - 39
    39 - 44
    44 - 49
    No. of days
    33
    19
    26
    11
    19
    17
    31
    8
    Assignment Key
  •  1) (i)
  •  2) (ii)
  •  3) (iii)
  •  4) (ii)
  •  5) (v)
  •  6) (ii)
  •  7) (i)
  •  8) (iv)
  •  9) (v)
  •  10) (iv)
  •  11) (ii)
  •  12) (ii)
  •  13) (v)
  •  14) (ii)
  •  15) (iii)
  •  16) (i)
  •  17) (i)
  •  18) (iv)
  •  19) (ii)
  •  20) (v)
  •  21) (v)
  •  22) (ii)
  •  23) (i)
  •  24) (i)
  •  25) (iii)