EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
    • Heights of 64 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Height (in cm)
    126 - 131
    131 - 136
    136 - 141
    141 - 146
    146 - 151
    151 - 156
    No. of students
    18
    11
    5
    6
    7
    17
  • (ii)
    Height (in cm)
    126 - 131
    131 - 136
    136 - 141
    141 - 146
    146 - 151
    151 - 156
    No. of students
    18
    5
    11
    6
    7
    17
  • (iii)
    Height (in cm)
    126 - 131
    131 - 136
    136 - 141
    141 - 146
    146 - 151
    151 - 156
    No. of students
    18
    17
    11
    6
    7
    5
  • (iv)
    Height (in cm)
    126 - 131
    131 - 136
    136 - 141
    141 - 146
    146 - 151
    151 - 156
    No. of students
    18
    5
    11
    8
    7
    17
  • (v)
    Height (in cm)
    126 - 131
    131 - 136
    136 - 141
    141 - 146
    146 - 151
    151 - 156
    No. of students
    18
    5
    14
    6
    7
    17
Question 2
2.
    • Find the cumulative frequency of class
    • 44
      -
      49
    • .
    • Class-Interval
      19 - 24
      24 - 29
      29 - 34
      34 - 39
      39 - 44
      44 - 49
      49 - 54
      54 - 59
      Frequency
      5
      22
      18
      19
      16
      7
      11
      7
  • (i)
    84
  • (ii)
    90
  • (iii)
    87
  • (iv)
    88
  • (v)
    86
Question 3
3.
    • Heights of 95 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Height (in cm)
    54 - 59
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    No. of plants
    19
    8
    16
    18
    12
    18
    8
  • (ii)
    Height (in cm)
    54 - 59
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    No. of plants
    19
    8
    12
    18
    12
    18
    8
  • (iii)
    Height (in cm)
    54 - 59
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    No. of plants
    19
    8
    12
    22
    12
    18
    8
  • (iv)
    Height (in cm)
    54 - 59
    59 - 64
    64 - 69
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    No. of plants
    19
    12
    8
    18
    12
    18
    8
Question 4
4.
Identify the frequency distribution table for the given ogive.
  • (i)
    Class-Interval
    12 - 18
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    13
    9
    14
    2
    16
    20
    14
  • (ii)
    Class-Interval
    12 - 18
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    4
    1
    8
    9
    17
    10
    20
  • (iii)
    Class-Interval
    12 - 18
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    9
    1
    7
    3
    11
    4
    12
  • (iv)
    Class-Interval
    12 - 18
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    17
    7
    11
    2
    3
    18
    17
  • (v)
    Class-Interval
    12 - 18
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    4
    5
    15
    12
    6
    2
    15
Question 5
5.
    • Weights of 11 students are given below. Find the mode.
    • Weight (in kg)
      42
      43
      55
      56
      No. of students
      2
      2
      5
      2
  • (i)
    57
    kg
  • (ii)
    56
    kg
  • (iii)
    53
    kg
  • (iv)
    55
    kg
  • (v)
    54
    kg
Question 6
6.
    • Rainfall of 97 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Rainfall (in mm)
    8 - 16
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of days
    20
    20
    17
    10
    9
    8
    8
    5
  • (ii)
    Rainfall (in mm)
    8 - 16
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of days
    20
    20
    10
    17
    9
    8
    8
    5
  • (iii)
    Rainfall (in mm)
    8 - 16
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of days
    20
    20
    10
    17
    5
    8
    8
    5
  • (iv)
    Rainfall (in mm)
    8 - 16
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of days
    20
    20
    7
    17
    9
    8
    8
    5
  • (v)
    Rainfall (in mm)
    8 - 16
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of days
    20
    5
    10
    17
    9
    8
    8
    20
Question 7
7.
    • Weights of 54 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Weight (in kg)
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    No. of students
    11
    11
    13
    12
    5
  • (ii)
    Weight (in kg)
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    No. of students
    11
    13
    11
    12
    5
  • (iii)
    Weight (in kg)
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    No. of students
    11
    5
    13
    12
    13
  • (iv)
    Weight (in kg)
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    No. of students
    11
    13
    13
    12
    5
Question 8
8.
    • Heights of 30 plants are given below. Find the mean.
    • Height (in cm)
      51
      54
      56
      59
      78
      86
      95
      98
      No. of plants
      3
      6
      2
      4
      4
      2
      5
      4
  • (i)
    1118

    15
    cm
  • (ii)
    218

    3
    cm
  • (iii)
    1103

    15
    cm
  • (iv)
    363

    5
    cm
  • (v)
    1088

    15
    cm
Question 9
9.
    • Heights of 97 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    114 - 122
    123 - 131
    132 - 140
    No. of plants
    10
    19
    7
    13
    10
    13
    9
    16
  • (ii)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    114 - 122
    123 - 131
    132 - 140
    No. of plants
    10
    16
    7
    13
    6
    13
    9
    19
  • (iii)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    114 - 122
    123 - 131
    132 - 140
    No. of plants
    10
    16
    13
    7
    10
    13
    9
    19
  • (iv)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    114 - 122
    123 - 131
    132 - 140
    No. of plants
    10
    16
    4
    13
    10
    13
    9
    19
  • (v)
    Height (in cm)
    69 - 77
    78 - 86
    87 - 95
    96 - 104
    105 - 113
    114 - 122
    123 - 131
    132 - 140
    No. of plants
    10
    16
    7
    13
    10
    13
    9
    19
Question 10
10.
The mean and median of a uni-modal grouped data are 70.9 and 35.3 respectively. Find the mode of the data.
  • (i)
    140.1
  • (ii)
    141.1
  • (iii)
    143.1
  • (iv)
    142.1
  • (v)
    144.1
Question 11
11.
    • The daily wages of
    • 109
    • workers in a factory are given below.
    • Find the
    • median wage.
    • Wage (in rupees)
      20 - 30
      31 - 41
      42 - 52
      53 - 63
      64 - 74
      75 - 85
      No. of workers
      20
      9
      27
      18
      21
      14
  • (i)
    52.11
  • (ii)
    52.00
  • (iii)
    53.89
  • (iv)
    52.89
  • (v)
    51.89
Question 12
12.
    • Rainfall of 76 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    No. of days
    8
    18
    15
    18
    17
  • (ii)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    No. of days
    8
    15
    18
    18
    17
  • (iii)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    No. of days
    8
    17
    15
    18
    18
  • (iv)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    No. of days
    8
    21
    15
    18
    17
  • (v)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    No. of days
    8
    18
    11
    18
    17
Question 13
13.
    • Ages of 73 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    No. of students
    16
    11
    5
    14
    5
    17
  • (ii)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    No. of students
    16
    11
    10
    14
    5
    17
  • (iii)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    No. of students
    16
    10
    11
    14
    5
    17
  • (iv)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    No. of students
    16
    17
    10
    14
    5
    11
  • (v)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    No. of students
    16
    11
    10
    16
    5
    17
Question 14
14.
    • The daily income of 63 workers of a factory is given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    9
    5
    9
    9
    6
    10
    6
    5
  • (ii)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    9
    5
    14
    9
    10
    10
    6
    5
  • (iii)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    9
    5
    9
    9
    10
    10
    6
    5
Question 15
15.
    • Heights of 64 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    No. of plants
    16
    19
    12
    8
    9
  • (ii)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    No. of plants
    16
    9
    19
    8
    12
  • (iii)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    No. of plants
    16
    12
    21
    8
    9
  • (iv)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    No. of plants
    16
    10
    19
    8
    9
  • (v)
    Height (in cm)
    50 - 56
    57 - 63
    64 - 70
    71 - 77
    78 - 84
    No. of plants
    16
    12
    19
    8
    9
Question 16
16.
    • Wages of 25 labourers are given below. Find the median.
    • Wage (in rupees)
      311
      322
      347
      390
      422
      424
      437
      462
      No. of labourers
      4
      2
      5
      3
      3
      3
      4
      1
  • (i)
    392.00
  • (ii)
    390.00
  • (iii)
    389.00
  • (iv)
    391.00
  • (v)
    388.00
Question 17
17.
    • Temperatures of 21 days are given below. Find the mode.
    • Temperature (in degree C)
      25
      26
      27
      28
      29
      34
      35
      No. of days
      2
      2
      5
      3
      3
      4
      2
  • (i)
    29
    °C
  • (ii)
    28
    °C
  • (iii)
    26
    °C
  • (iv)
    25
    °C
  • (v)
    27
    °C
Question 18
18.
The daily income of 42 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 120
    less than 140
    less than 160
    less than 180
    less than 200
    No. of workers
    10
    19
    24
    32
    42
  • (ii)
    Daily income (in Rs)
    less than 120
    less than 140
    less than 160
    less than 180
    less than 200
    No. of workers
    10
    20
    29
    37
    42
  • (iii)
    Daily income (in Rs)
    less than 120
    less than 140
    less than 160
    less than 180
    less than 200
    No. of workers
    10
    15
    24
    32
    42
  • (iv)
    Daily income (in Rs)
    less than 120
    less than 140
    less than 160
    less than 180
    less than 200
    No. of workers
    10
    15
    22
    30
    40
  • (v)
    Daily income (in Rs)
    less than 120
    less than 140
    less than 160
    less than 180
    less than 200
    No. of workers
    10
    13
    22
    30
    40
Question 19
19.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Class-Interval
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    Frequency
    9
    2
    19
    7
    10
    1
    10
    4
  • (ii)
    Class-Interval
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    Frequency
    16
    9
    15
    19
    20
    10
    1
    3
  • (iii)
    Class-Interval
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    Frequency
    9
    12
    17
    8
    6
    7
    19
    15
  • (iv)
    Class-Interval
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    Frequency
    19
    8
    5
    9
    19
    17
    5
    14
  • (v)
    Class-Interval
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    Frequency
    7
    9
    11
    3
    3
    12
    5
    6
Question 20
20.
    • Temperatures of 82 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Temperature (in degree)
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    No. of days
    12
    15
    20
    18
    12
  • (ii)
    Temperature (in degree)
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    No. of days
    12
    20
    25
    18
    12
  • (iii)
    Temperature (in degree)
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    No. of days
    12
    20
    20
    18
    12
  • (iv)
    Temperature (in degree)
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    No. of days
    12
    12
    20
    18
    20
Question 21
21.
    • Heights of 60 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    53 - 63
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    No. of plants
    15
    9
    7
    18
    7
  • (ii)
    Height (in cm)
    53 - 63
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    No. of plants
    15
    7
    13
    18
    7
  • (iii)
    Height (in cm)
    53 - 63
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    No. of plants
    15
    13
    7
    18
    7
  • (iv)
    Height (in cm)
    53 - 63
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    No. of plants
    15
    7
    7
    18
    13
  • (v)
    Height (in cm)
    53 - 63
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    No. of plants
    15
    13
    5
    18
    7
Question 22
22.
    • Heights of 63 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Height (in cm)
    124 - 129
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    No. of students
    7
    12
    3
    6
    8
    5
    11
    9
  • (ii)
    Height (in cm)
    124 - 129
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    No. of students
    7
    9
    5
    6
    8
    5
    11
    12
  • (iii)
    Height (in cm)
    124 - 129
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    No. of students
    7
    12
    6
    5
    8
    5
    11
    9
  • (iv)
    Height (in cm)
    124 - 129
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    No. of students
    7
    12
    5
    6
    13
    5
    11
    9
  • (v)
    Height (in cm)
    124 - 129
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    No. of students
    7
    12
    5
    6
    8
    5
    11
    9
Question 23
23.
    • During the medical check-up of 31 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 72 kg
    • Class-Interval
      40 - 48
      48 - 56
      56 - 64
      64 - 72
      Frequency
      6
      5
      11
      9
  • (i)
    28
  • (ii)
    31
  • (iii)
    32
  • (iv)
    34
  • (v)
    30
Question 24
24.
The following ogive shows the daily wages of workers in a factory. Estimate the median.
  • (i)
    ₹140.00
  • (ii)
    ₹137.50
  • (iii)
    ₹145.00
  • (iv)
    ₹135.00
  • (v)
    ₹142.50
Question 25
25.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      23 - 29
      30 - 36
      37 - 43
      44 - 50
      51 - 57
      58 - 64
      65 - 71
      frequency
      9
      17
      13
      8
      18
      21
      10
  • (i)
    class interval
    Cumulative Frequency
    23 - 29
    9
    30 - 36
    22
    37 - 43
    39
    44 - 50
    47
    51 - 57
    65
    58 - 64
    86
    65 - 71
    96
  • (ii)
    class interval
    Cumulative Frequency
    23 - 29
    9
    30 - 36
    26
    37 - 43
    39
    44 - 50
    47
    51 - 57
    65
    58 - 64
    86
    65 - 71
    96
  • (iii)
    class interval
    Cumulative Frequency
    23 - 29
    9
    30 - 36
    19
    37 - 43
    32
    44 - 50
    40
    51 - 57
    58
    58 - 64
    79
    65 - 71
    96
  • (iv)
    class interval
    Cumulative Frequency
    23 - 29
    9
    30 - 36
    26
    37 - 43
    41
    44 - 50
    49
    51 - 57
    67
    58 - 64
    88
    65 - 71
    98
  • (v)
    class interval
    Cumulative Frequency
    23 - 29
    9
    30 - 36
    26
    37 - 43
    39
    44 - 50
    51
    51 - 57
    69
    58 - 64
    90
    65 - 71
    100
    Assignment Key

  •  1) (ii)
  •  2) (iii)
  •  3) (ii)
  •  4) (iii)
  •  5) (iv)
  •  6) (ii)
  •  7) (iv)
  •  8) (v)
  •  9) (v)
  •  10) (iv)
  •  11) (v)
  •  12) (i)
  •  13) (ii)
  •  14) (iii)
  •  15) (v)
  •  16) (ii)
  •  17) (v)
  •  18) (iii)
  •  19) (v)
  •  20) (iii)
  •  21) (iii)
  •  22) (v)
  •  23) (ii)
  •  24) (i)
  •  25) (ii)