EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      39 - 49
      12
      49 - 59
      17
      59 - 69
      23
      69 - 79
      30
      79 - 89
      45
  • (i)
    Class-Interval
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    Frequency
    12
    5
    11
    7
    15
  • (ii)
    Class-Interval
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    Frequency
    12
    9
    6
    7
    15
  • (iii)
    Class-Interval
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    Frequency
    12
    6
    5
    7
    15
  • (iv)
    Class-Interval
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    Frequency
    12
    5
    6
    7
    15
  • (v)
    Class-Interval
    39 - 49
    49 - 59
    59 - 69
    69 - 79
    79 - 89
    Frequency
    12
    15
    6
    7
    5
Question 2
2.
    • 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
      6
      12
      17
      5
      1
      15
  • (i)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    6
    241 - 281
    18
    282 - 322
    35
    323 - 363
    45
    364 - 404
    46
    405 - 445
    61
  • (ii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    6
    241 - 281
    18
    282 - 322
    39
    323 - 363
    44
    364 - 404
    45
    405 - 445
    60
  • (iii)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    6
    241 - 281
    21
    282 - 322
    38
    323 - 363
    43
    364 - 404
    44
    405 - 445
    56
  • (iv)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    6
    241 - 281
    23
    282 - 322
    35
    323 - 363
    40
    364 - 404
    41
    405 - 445
    56
  • (v)
    Wages (in rupees)
    Cumulative Frequency
    200 - 240
    6
    241 - 281
    18
    282 - 322
    35
    323 - 363
    40
    364 - 404
    41
    405 - 445
    56
Question 3
3.
The following ogive shows the daily wages of workers in a factory. Estimate the median.
  • (i)
    ₹274.50
  • (ii)
    ₹277.00
  • (iii)
    ₹272.00
  • (iv)
    ₹279.50
  • (v)
    ₹282.00
Question 4
4.
    • If the mean of the following frequency distribution is
    • 40
      1
      18
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      20 - 25
      8
      26 - 31
      10
      32 - 37
      5
      38 - 43
      8
      44 - 49
      x
      50 - 55
      4
      56 - 61
      9
  • (i)
    10
  • (ii)
    7
  • (iii)
    9
  • (iv)
    12
  • (v)
    11
Question 5
5.
    • The following frequency distribution table gives
    • the monthly consumption of electricity of
    • 150
    • consumers in a locality.
    • Find the
    • mode units.
    • Monthly consumption (in units)
      78 - 98
      98 - 118
      118 - 138
      138 - 158
      158 - 178
      178 - 198
      198 - 218
      No. of consumers
      16
      23
      22
      24
      21
      22
      22
  • (i)
    145
    units
  • (ii)
    148
    units
  • (iii)
    144
    units
  • (iv)
    147
    units
  • (v)
    146
    units
Question 6
6.
    • Heights of 56 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Height (in cm)
    130 - 137
    138 - 145
    146 - 153
    154 - 161
    162 - 169
    No. of students
    13
    5
    8
    19
    11
  • (ii)
    Height (in cm)
    130 - 137
    138 - 145
    146 - 153
    154 - 161
    162 - 169
    No. of students
    13
    8
    5
    19
    11
  • (iii)
    Height (in cm)
    130 - 137
    138 - 145
    146 - 153
    154 - 161
    162 - 169
    No. of students
    13
    5
    5
    19
    11
  • (iv)
    Height (in cm)
    130 - 137
    138 - 145
    146 - 153
    154 - 161
    162 - 169
    No. of students
    13
    3
    8
    19
    11
  • (v)
    Height (in cm)
    130 - 137
    138 - 145
    146 - 153
    154 - 161
    162 - 169
    No. of students
    13
    11
    8
    19
    5
Question 7
7.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Class-Interval
    11 - 21
    21 - 31
    31 - 41
    41 - 51
    51 - 61
    61 - 71
    Frequency
    9
    7
    4
    7
    3
    3
  • (ii)
    Class-Interval
    11 - 21
    21 - 31
    31 - 41
    41 - 51
    51 - 61
    61 - 71
    Frequency
    14
    8
    18
    16
    5
    11
  • (iii)
    Class-Interval
    11 - 21
    21 - 31
    31 - 41
    41 - 51
    51 - 61
    61 - 71
    Frequency
    4
    7
    12
    13
    8
    15
  • (iv)
    Class-Interval
    11 - 21
    21 - 31
    31 - 41
    41 - 51
    51 - 61
    61 - 71
    Frequency
    4
    6
    17
    12
    18
    20
  • (v)
    Class-Interval
    11 - 21
    21 - 31
    31 - 41
    41 - 51
    51 - 61
    61 - 71
    Frequency
    9
    10
    14
    19
    13
    5
Question 8
8.
    • Daily wages of 75 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    267 - 276
    276 - 285
    285 - 294
    294 - 303
    303 - 312
    No. of labourers
    9
    12
    20
    19
    15
  • (ii)
    Daily wage (in Rs)
    267 - 276
    276 - 285
    285 - 294
    294 - 303
    303 - 312
    No. of labourers
    9
    15
    12
    19
    20
  • (iii)
    Daily wage (in Rs)
    267 - 276
    276 - 285
    285 - 294
    294 - 303
    303 - 312
    No. of labourers
    9
    22
    12
    19
    15
  • (iv)
    Daily wage (in Rs)
    267 - 276
    276 - 285
    285 - 294
    294 - 303
    303 - 312
    No. of labourers
    9
    20
    9
    19
    15
  • (v)
    Daily wage (in Rs)
    267 - 276
    276 - 285
    285 - 294
    294 - 303
    303 - 312
    No. of labourers
    9
    20
    12
    19
    15
Question 9
9.
    • Heights of 99 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    123 - 129
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    11
    19
    17
    19
    20
    13
    5
  • (ii)
    Height (in cm)
    123 - 129
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    11
    19
    13
    14
    20
    13
    5
  • (iii)
    Height (in cm)
    123 - 129
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    11
    19
    17
    14
    20
    13
    5
  • (iv)
    Height (in cm)
    123 - 129
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    11
    17
    19
    14
    20
    13
    5
  • (v)
    Height (in cm)
    123 - 129
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    11
    5
    17
    14
    20
    13
    19
Question 10
10.
    • The production yield in kg per hectare of wheat of 42 farms of a village is given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Production yield (in kg/ha)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Number of farms
    7
    6
    10
    5
    10
    7
  • (ii)
    Production yield (in kg/ha)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Number of farms
    7
    7
    7
    5
    10
    6
  • (iii)
    Production yield (in kg/ha)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Number of farms
    7
    6
    7
    8
    10
    7
  • (iv)
    Production yield (in kg/ha)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Number of farms
    7
    7
    6
    5
    10
    7
  • (v)
    Production yield (in kg/ha)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    Number of farms
    7
    6
    7
    5
    10
    7
Question 11
11.
    • Heights of 16 plants are given below. Find the mode.
    • Height (in cm)
      51
      56
      68
      75
      76
      77
      81
      82
      No. of plants
      1
      2
      4
      3
      2
      1
      1
      2
  • (i)
    70
    cm
  • (ii)
    68
    cm
  • (iii)
    66
    cm
  • (iv)
    69
    cm
  • (v)
    67
    cm
Question 12
12.
    • The daily income of 54 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
    6
    9
    5
    5
    10
    6
    5
    8
  • (ii)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    6
    9
    5
    5
    5
    6
    5
    8
  • (iii)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    6
    9
    10
    5
    10
    6
    5
    8
  • (iv)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    6
    8
    5
    5
    10
    6
    5
    9
Question 13
13.
    • Heights of 74 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    125 - 133
    133 - 141
    141 - 149
    149 - 157
    157 - 165
    No. of students
    6
    19
    18
    11
    20
  • (ii)
    Height (in cm)
    125 - 133
    133 - 141
    141 - 149
    149 - 157
    157 - 165
    No. of students
    6
    21
    18
    11
    20
  • (iii)
    Height (in cm)
    125 - 133
    133 - 141
    141 - 149
    149 - 157
    157 - 165
    No. of students
    6
    20
    18
    11
    19
  • (iv)
    Height (in cm)
    125 - 133
    133 - 141
    141 - 149
    149 - 157
    157 - 165
    No. of students
    6
    19
    21
    11
    20
  • (v)
    Height (in cm)
    125 - 133
    133 - 141
    141 - 149
    149 - 157
    157 - 165
    No. of students
    6
    18
    19
    11
    20
Question 14
14.
    • A frequency distribution table is given below.
    • Find the
    • median .
    • Class-Interval
      19 - 24
      25 - 30
      31 - 36
      37 - 42
      43 - 48
      Frequency
      3
      27
      47
      23
      1
  • (i)
    3115
    94
  • (ii)
    3113
    94
  • (iii)
    3301
    94
  • (iv)
    1557
    47
  • (v)
    3207
    94
Question 15
15.
    • Ages of 92 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    92 - 102
    No. of students
    18
    17
    10
    9
    10
    7
    9
    14
  • (ii)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    92 - 102
    No. of students
    18
    17
    9
    10
    8
    7
    9
    14
  • (iii)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    92 - 102
    No. of students
    18
    17
    12
    9
    8
    7
    9
    14
  • (iv)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    92 - 102
    No. of students
    18
    14
    10
    9
    8
    7
    9
    17
  • (v)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    92 - 102
    No. of students
    18
    17
    10
    9
    8
    7
    9
    14
Question 16
16.
    • A frequency distribution table is given below.
    • Find the
    • median .
    • Class-Interval
      12 - 18
      18 - 24
      24 - 30
      30 - 36
      36 - 42
      42 - 48
      48 - 54
      54 - 60
      Frequency
      16
      31
      21
      44
      13
      37
      2
      47
  • (i)
    1589
    44
  • (ii)
    1545
    44
  • (iii)
    1547
    44
  • (iv)
    1633
    44
  • (v)
    773
    22
Question 17
17.
    • Daily wages of 81 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    226 - 233
    234 - 241
    242 - 249
    250 - 257
    258 - 265
    266 - 273
    No. of labourers
    10
    18
    13
    9
    20
    11
  • (ii)
    Daily wage (in Rs)
    226 - 233
    234 - 241
    242 - 249
    250 - 257
    258 - 265
    266 - 273
    No. of labourers
    10
    13
    18
    5
    20
    11
  • (iii)
    Daily wage (in Rs)
    226 - 233
    234 - 241
    242 - 249
    250 - 257
    258 - 265
    266 - 273
    No. of labourers
    10
    11
    18
    9
    20
    13
  • (iv)
    Daily wage (in Rs)
    226 - 233
    234 - 241
    242 - 249
    250 - 257
    258 - 265
    266 - 273
    No. of labourers
    10
    13
    13
    9
    20
    11
  • (v)
    Daily wage (in Rs)
    226 - 233
    234 - 241
    242 - 249
    250 - 257
    258 - 265
    266 - 273
    No. of labourers
    10
    13
    18
    9
    20
    11
Question 18
18.
    • The following table shows the weights of
    • 101
    • persons in a group.
    • Find the
    • median weight.
    • Weight (in kg)
      40 - 49
      49 - 58
      58 - 67
      67 - 76
      76 - 85
      85 - 94
      94 - 103
      No. of persons
      19
      15
      13
      17
      17
      11
      9
  • (i)
    2343
    34
    kg
  • (ii)
    2375
    34
    kg
  • (iii)
    2341
    34
    kg
  • (iv)
    2409
    34
    kg
  • (v)
    1171
    17
    kg
Question 19
19.
    • The Marks obtained by 43 students of a class in an examination is given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Marks
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    5
    10
    7
    1
    9
    7
  • (ii)
    Marks
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    5
    7
    7
    5
    9
    10
  • (iii)
    Marks
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    5
    10
    7
    5
    9
    7
  • (iv)
    Marks
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    5
    10
    5
    5
    9
    7
  • (v)
    Marks
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    5
    7
    10
    5
    9
    7
Question 20
20.
    • The following frequency distribution table gives
    • the monthly consumption of electricity of
    • 114
    • consumers in a locality.
    • Find the
    • median units.
    • Monthly consumption (in units)
      40 - 50
      50 - 60
      60 - 70
      70 - 80
      80 - 90
      90 - 100
      100 - 110
      No. of consumers
      19
      18
      20
      23
      12
      15
      7
  • (i)
    71
    units
  • (ii)
    68
    units
  • (iii)
    72
    units
  • (iv)
    69
    units
  • (v)
    70
    units
Question 21
21.
    • Heights of 88 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    No. of students
    18
    20
    15
    5
    8
    19
  • (ii)
    Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    No. of students
    18
    20
    15
    8
    8
    19
  • (iii)
    Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    No. of students
    18
    15
    20
    8
    8
    19
  • (iv)
    Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    No. of students
    18
    20
    13
    8
    8
    19
  • (v)
    Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    No. of students
    18
    19
    15
    8
    8
    20
Question 22
22.
    • Rainfall of 15 days are given below. Find the mean.
    • Rainfall (in mm)
      5
      6
      8
      9
      10
      11
      12
      14
      No. of days
      3
      3
      1
      1
      2
      1
      3
      1
  • (i)
    44
    5
    mm
  • (ii)
    161
    15
    mm
  • (iii)
    146
    15
    mm
  • (iv)
    131
    15
    mm
  • (v)
    133
    15
    mm
Question 23
23.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the median.
  • (i)
    28.33 years
  • (ii)
    30.83 years
  • (iii)
    33.33 years
  • (iv)
    32.08 years
  • (v)
    29.58 years
Question 24
24.
    • The daily wage of 34 workers of a factory is given below. Calculate the mean wage correct to 2 decimal places.
    • Daily income (in Rs)
      less than 220
      less than 240
      less than 260
      less than 280
      less than 300
      No. of workers
      6
      13
      22
      28
      34
  • (i)
    ₹237.41
  • (ii)
    ₹275.41
  • (iii)
    ₹243.41
  • (iv)
    ₹249.41
  • (v)
    ₹261.41
Question 25
25.
The marks obtained by certain students in a mathematics examination are given below. Estimate the median.
  • (i)
    56.33
  • (ii)
    58.83
  • (iii)
    61.33
  • (iv)
    53.83
  • (v)
    51.33
    Assignment Key
  •  1) (iv)
  •  2) (v)
  •  3) (ii)
  •  4) (i)
  •  5) (v)
  •  6) (i)
  •  7) (i)
  •  8) (v)
  •  9) (iii)
  •  10) (v)
  •  11) (ii)
  •  12) (i)
  •  13) (i)
  •  14) (ii)
  •  15) (v)
  •  16) (ii)
  •  17) (v)
  •  18) (iii)
  •  19) (iii)
  •  20) (v)
  •  21) (ii)
  •  22) (iv)
  •  23) (ii)
  •  24) (iv)
  •  25) (i)