SSC Board Practice

SSC Grade X - Statistics
Question 1
1.
    • Daily wages of 88 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Daily wage (in Rs)
    258 - 263
    263 - 268
    268 - 273
    273 - 278
    278 - 283
    283 - 288
    288 - 293
    No. of labourers
    9
    19
    24
    7
    5
    16
    12
  • Daily wage (in Rs)
    258 - 263
    263 - 268
    268 - 273
    273 - 278
    278 - 283
    283 - 288
    288 - 293
    No. of labourers
    9
    12
    20
    7
    5
    16
    19
  • Daily wage (in Rs)
    258 - 263
    263 - 268
    268 - 273
    273 - 278
    278 - 283
    283 - 288
    288 - 293
    No. of labourers
    9
    19
    20
    9
    5
    16
    12
  • Daily wage (in Rs)
    258 - 263
    263 - 268
    268 - 273
    273 - 278
    278 - 283
    283 - 288
    288 - 293
    No. of labourers
    9
    20
    19
    7
    5
    16
    12
  • Daily wage (in Rs)
    258 - 263
    263 - 268
    268 - 273
    273 - 278
    278 - 283
    283 - 288
    288 - 293
    No. of labourers
    9
    19
    20
    7
    5
    16
    12
Question 2
2.
The mean and median of a uni-modal grouped data are 69.1 and 24.8 respectively. Find the mode of the data.
  • 159.7
  • 158.7
  • 156.7
  • 157.7
  • 155.7
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 - 20
      21 - 31
      32 - 42
      43 - 53
      54 - 64
      65 - 75
      76 - 86
      No. of Patients
      76
      28
      73
      63
      43
      50
      68
  • Age (in years)
    Cumulative Frequency
    10 - 20
    76
    21 - 31
    144
    32 - 42
    217
    43 - 53
    280
    54 - 64
    323
    65 - 75
    373
    76 - 86
    401
  • Age (in years)
    Cumulative Frequency
    10 - 20
    76
    21 - 31
    104
    32 - 42
    177
    43 - 53
    240
    54 - 64
    283
    65 - 75
    333
    76 - 86
    401
  • Age (in years)
    Cumulative Frequency
    10 - 20
    76
    21 - 31
    104
    32 - 42
    177
    43 - 53
    238
    54 - 64
    281
    65 - 75
    331
    76 - 86
    399
  • Age (in years)
    Cumulative Frequency
    10 - 20
    76
    21 - 31
    104
    32 - 42
    182
    43 - 53
    245
    54 - 64
    288
    65 - 75
    338
    76 - 86
    406
  • Age (in years)
    Cumulative Frequency
    10 - 20
    76
    21 - 31
    149
    32 - 42
    177
    43 - 53
    240
    54 - 64
    283
    65 - 75
    333
    76 - 86
    401
Question 4
4.
    • The daily income of 49 workers of a factory is given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Daily income (in Rs)
    200 - 210
    210 - 220
    220 - 230
    230 - 240
    240 - 250
    250 - 260
    No. of workers
    9
    9
    10
    5
    6
    10
  • Daily income (in Rs)
    200 - 210
    210 - 220
    220 - 230
    230 - 240
    240 - 250
    250 - 260
    No. of workers
    9
    10
    7
    5
    6
    10
  • Daily income (in Rs)
    200 - 210
    210 - 220
    220 - 230
    230 - 240
    240 - 250
    250 - 260
    No. of workers
    9
    10
    9
    8
    6
    10
  • Daily income (in Rs)
    200 - 210
    210 - 220
    220 - 230
    230 - 240
    240 - 250
    250 - 260
    No. of workers
    9
    10
    9
    5
    6
    10
Question 5
5.
    • Ages of 114 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Age (in years)
    15 - 24
    24 - 33
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    No. of students
    18
    15
    6
    16
    18
    19
    20
  • Age (in years)
    15 - 24
    24 - 33
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    No. of students
    18
    15
    8
    18
    18
    19
    20
  • Age (in years)
    15 - 24
    24 - 33
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    No. of students
    18
    20
    8
    16
    18
    19
    15
  • Age (in years)
    15 - 24
    24 - 33
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    No. of students
    18
    15
    8
    16
    18
    19
    20
  • Age (in years)
    15 - 24
    24 - 33
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    No. of students
    18
    8
    15
    16
    18
    19
    20
Question 6
6.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Class-Interval
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    Frequency
    19
    12
    10
    19
    15
    1
  • Class-Interval
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    Frequency
    18
    11
    7
    5
    20
    12
  • Class-Interval
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    Frequency
    13
    5
    2
    7
    5
    11
  • Class-Interval
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    Frequency
    8
    6
    9
    3
    5
    12
  • Class-Interval
    14 - 23
    23 - 32
    32 - 41
    41 - 50
    50 - 59
    59 - 68
    Frequency
    14
    18
    7
    10
    8
    17
Question 7
7.
    • Rainfall of 118 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Rainfall (in mm)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of days
    12
    20
    14
    17
    24
    13
    18
    5
  • Rainfall (in mm)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of days
    12
    20
    12
    17
    19
    13
    18
    5
  • Rainfall (in mm)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of days
    12
    5
    14
    17
    19
    13
    18
    20
  • Rainfall (in mm)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of days
    12
    20
    14
    17
    19
    13
    18
    5
  • Rainfall (in mm)
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    No. of days
    12
    20
    17
    14
    19
    13
    18
    5
Question 8
8.
    • The daily wages of
    • 116
    • workers in a factory are given below.
    • Find the
    • median wage.
    • Wage (in rupees)
      30 - 37
      37 - 44
      44 - 51
      51 - 58
      58 - 65
      65 - 72
      No. of workers
      13
      27
      15
      26
      27
      8
  • 52.81
  • 51.85
  • 51.81
  • 51.88
  • 53.81
Question 9
9.
    • Ages of 58 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    No. of students
    18
    10
    8
    16
    6
  • Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    No. of students
    18
    8
    6
    16
    10
  • Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    No. of students
    18
    10
    8
    16
    10
  • Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    No. of students
    18
    6
    10
    16
    10
  • Age (in years)
    19 - 27
    28 - 36
    37 - 45
    46 - 54
    55 - 63
    No. of students
    18
    6
    8
    16
    10
Question 10
10.
Less than cumulative curves are drawn using
  • mid values of classes and less than cumulative frequencies
  • upper boundaries of classes and less than cumulative frequencies
  • lower boundaries of classes and less than cumulative frequencies
  • lower boundaries of classes and greater than cumulative frequencies