SSC Board Practice

SSC Grade X - Statistics
Question 1
1.
    • 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)
      300 - 330
      330 - 360
      360 - 390
      390 - 420
      420 - 450
      450 - 480
      Labourers
      4
      1
      16
      15
      5
      19
  • Wages (in rupees)
    Cumulative Frequency
    300 - 330
    4
    330 - 360
    5
    360 - 390
    21
    390 - 420
    40
    420 - 450
    45
    450 - 480
    64
  • Wages (in rupees)
    Cumulative Frequency
    300 - 330
    4
    330 - 360
    5
    360 - 390
    18
    390 - 420
    33
    420 - 450
    38
    450 - 480
    57
  • Wages (in rupees)
    Cumulative Frequency
    300 - 330
    4
    330 - 360
    5
    360 - 390
    21
    390 - 420
    36
    420 - 450
    41
    450 - 480
    60
  • Wages (in rupees)
    Cumulative Frequency
    300 - 330
    4
    330 - 360
    23
    360 - 390
    39
    390 - 420
    54
    420 - 450
    59
    450 - 480
    60
  • Wages (in rupees)
    Cumulative Frequency
    300 - 330
    4
    330 - 360
    20
    360 - 390
    21
    390 - 420
    36
    420 - 450
    41
    450 - 480
    60
Question 2
2.
    • Ages of 107 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Age (in years)
    13 - 23
    24 - 34
    35 - 45
    46 - 56
    57 - 67
    68 - 78
    79 - 89
    90 - 100
    No. of students
    14
    13
    17
    19
    5
    11
    10
    13
  • Age (in years)
    13 - 23
    24 - 34
    35 - 45
    46 - 56
    57 - 67
    68 - 78
    79 - 89
    90 - 100
    No. of students
    14
    13
    21
    19
    10
    11
    10
    13
  • Age (in years)
    13 - 23
    24 - 34
    35 - 45
    46 - 56
    57 - 67
    68 - 78
    79 - 89
    90 - 100
    No. of students
    14
    13
    19
    17
    10
    11
    10
    13
  • Age (in years)
    13 - 23
    24 - 34
    35 - 45
    46 - 56
    57 - 67
    68 - 78
    79 - 89
    90 - 100
    No. of students
    14
    13
    17
    19
    10
    11
    10
    13
Question 3
3.
    • The daily wages of
    • 129
    • workers in a factory are given below.
    • Find the
    • median wage.
    • Wage (in rupees)
      30 - 39
      39 - 48
      48 - 57
      57 - 66
      66 - 75
      75 - 84
      84 - 93
      93 - 102
      No. of workers
      13
      9
      19
      16
      14
      12
      29
      17
  • 70.82
  • 70.86
  • 71.82
  • 72.82
  • 70.89
Question 4
4.
    • Temperatures of 87 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    13
    11
    7
    20
    14
    9
    13
  • Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    13
    13
    11
    20
    14
    9
    7
  • Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    13
    7
    11
    24
    14
    9
    13
  • Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    13
    7
    11
    20
    14
    9
    13
  • Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    13
    7
    14
    20
    14
    9
    13
Question 5
5.
    • Rainfall of 31 days are given below. Find the mode.
    • Rainfall (in mm)
      5
      6
      7
      8
      9
      10
      12
      14
      15
      No. of days
      6
      2
      5
      4
      5
      2
      1
      5
      1
  • 6
    mm
  • 3
    mm
  • 4
    mm
  • 5
    mm
  • 7
    mm
Question 6
6.
    • A frequency distribution table is given below.
    • Find the
    • mode .
    • Class-Interval
      11 - 17
      18 - 24
      25 - 31
      32 - 38
      39 - 45
      46 - 52
      Frequency
      25
      18
      45
      16
      17
      18
  • 225

    8
  • 223

    8
  • 231

    8
  • 239

    8
  • 28
Question 7
7.
    • Heights of 44 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    6
    10
    6
    9
    18
  • Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    6
    5
    1
    9
    18
  • Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    6
    5
    6
    9
    18
  • Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    6
    6
    5
    9
    18
  • Height (in cm)
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of plants
    6
    18
    6
    9
    5
Question 8
8.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Class-Interval
    19 - 25
    26 - 32
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    Frequency
    1
    5
    5
    14
    15
    2
    14
    16
  • Class-Interval
    19 - 25
    26 - 32
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    Frequency
    15
    17
    1
    15
    1
    16
    19
    4
  • Class-Interval
    19 - 25
    26 - 32
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    Frequency
    11
    10
    14
    1
    4
    13
    17
    9
  • Class-Interval
    19 - 25
    26 - 32
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    Frequency
    10
    8
    19
    20
    2
    11
    3
    8
  • Class-Interval
    19 - 25
    26 - 32
    33 - 39
    40 - 46
    47 - 53
    54 - 60
    61 - 67
    68 - 74
    Frequency
    9
    7
    6
    3
    11
    7
    6
    7
Question 9
9.
    • If the mean of the following frequency distribution is
    • 33
      5

      7
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      10 - 16
      10
      17 - 23
      6
      24 - 30
      3
      31 - 37
      10
      38 - 44
      6
      45 - 51
      7
      52 - 58
      x
      59 - 65
      2
  • 6
  • 8
  • 2
  • 4
  • 5
Question 10
10.
The mean and median of a uni-modal grouped data are 74 and 42 respectively. Find the mode of the data.
  • 137
  • 139
  • 136
  • 140
  • 138