SSC Board Practice

SSC Grade X - Statistics
Question 1
1.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    7
    12
    10
    6
    7
    9
    3
    10
  • Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    1
    17
    4
    19
    17
    12
    19
    11
  • Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    16
    17
    4
    11
    11
    6
    2
    2
  • Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    1
    6
    14
    17
    14
    17
    15
    10
  • Class-Interval
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    59 - 66
    66 - 73
    Frequency
    6
    20
    19
    17
    14
    5
    20
    17
Question 2
2.
    • 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)
      20 - 30
      31 - 41
      42 - 52
      53 - 63
      64 - 74
      75 - 85
      No. of Patients
      84
      84
      55
      58
      64
      55
  • Age (in years)
    Cumulative Frequency
    20 - 30
    84
    31 - 41
    139
    42 - 52
    223
    53 - 63
    281
    64 - 74
    345
    75 - 85
    400
  • Age (in years)
    Cumulative Frequency
    20 - 30
    84
    31 - 41
    168
    42 - 52
    223
    53 - 63
    281
    64 - 74
    345
    75 - 85
    400
  • Age (in years)
    Cumulative Frequency
    20 - 30
    84
    31 - 41
    168
    42 - 52
    223
    53 - 63
    286
    64 - 74
    350
    75 - 85
    405
  • Age (in years)
    Cumulative Frequency
    20 - 30
    84
    31 - 41
    168
    42 - 52
    226
    53 - 63
    284
    64 - 74
    348
    75 - 85
    403
  • Age (in years)
    Cumulative Frequency
    20 - 30
    84
    31 - 41
    139
    42 - 52
    194
    53 - 63
    252
    64 - 74
    316
    75 - 85
    400
Question 3
3.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      38 - 44
      45 - 51
      52 - 58
      59 - 65
      66 - 72
      frequency
      9
      12
      16
      24
      14
  • class interval
    Cumulative Frequency
    38 - 44
    9
    45 - 51
    21
    52 - 58
    33
    59 - 65
    57
    66 - 72
    71
  • class interval
    Cumulative Frequency
    38 - 44
    9
    45 - 51
    21
    52 - 58
    37
    59 - 65
    61
    66 - 72
    75
  • class interval
    Cumulative Frequency
    38 - 44
    9
    45 - 51
    23
    52 - 58
    39
    59 - 65
    63
    66 - 72
    75
  • class interval
    Cumulative Frequency
    38 - 44
    9
    45 - 51
    25
    52 - 58
    41
    59 - 65
    65
    66 - 72
    79
  • class interval
    Cumulative Frequency
    38 - 44
    9
    45 - 51
    25
    52 - 58
    37
    59 - 65
    61
    66 - 72
    75
Question 4
4.
    • The Marks obtained by 55 students of a class in an examination is given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Marks
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of students
    6
    6
    6
    7
    13
    8
    8
    6
  • Marks
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of students
    6
    6
    6
    7
    8
    8
    8
    6
  • Marks
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of students
    6
    6
    10
    7
    8
    8
    8
    6
  • Marks
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of students
    6
    6
    7
    6
    8
    8
    8
    6
Question 5
5.
    • Find the cumulative frequency of class
    • 70
      -
      76
    • .
    • Class-Interval
      35 - 41
      42 - 48
      49 - 55
      56 - 62
      63 - 69
      70 - 76
      Frequency
      20
      5
      13
      11
      18
      25
  • 93
  • 89
  • 95
  • 91
  • 92
Question 6
6.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      39 - 49
      12
      50 - 60
      27
      61 - 71
      32
      72 - 82
      42
      83 - 93
      47
      94 - 104
      52
  • Class-Interval
    39 - 49
    50 - 60
    61 - 71
    72 - 82
    83 - 93
    94 - 104
    Frequency
    12
    15
    5
    8
    5
    5
  • Class-Interval
    39 - 49
    50 - 60
    61 - 71
    72 - 82
    83 - 93
    94 - 104
    Frequency
    12
    5
    5
    10
    5
    15
  • Class-Interval
    39 - 49
    50 - 60
    61 - 71
    72 - 82
    83 - 93
    94 - 104
    Frequency
    12
    5
    15
    10
    5
    5
  • Class-Interval
    39 - 49
    50 - 60
    61 - 71
    72 - 82
    83 - 93
    94 - 104
    Frequency
    12
    15
    1
    10
    5
    5
  • Class-Interval
    39 - 49
    50 - 60
    61 - 71
    72 - 82
    83 - 93
    94 - 104
    Frequency
    12
    15
    5
    10
    5
    5
Question 7
7.
    • Weights of 73 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Weight (in kg)
    52 - 61
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of students
    11
    17
    12
    8
    8
    17
  • Weight (in kg)
    52 - 61
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of students
    11
    17
    15
    8
    8
    17
  • Weight (in kg)
    52 - 61
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of students
    11
    12
    17
    8
    8
    17
  • Weight (in kg)
    52 - 61
    61 - 70
    70 - 79
    79 - 88
    88 - 97
    97 - 106
    No. of students
    11
    17
    12
    6
    8
    17
Question 8
8.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the median.
  • 64.50 years
  • 62.00 years
  • 67.00 years
  • 69.50 years
  • 59.50 years
Question 9
9.
    • Heights of 20 plants are given below. Find the mean.
    • Height (in cm)
      50
      64
      74
      75
      81
      84
      91
      96
      No. of plants
      1
      1
      4
      1
      1
      4
      6
      2
  • 84
    cm
  • 82
    cm
  • 81
    cm
  • 83
    cm
  • 80
    cm
Question 10
10.
    • Heights of 20 plants are given below. Find the median.
    • Height (in cm)
      52
      63
      64
      68
      75
      86
      87
      95
      No. of plants
      2
      2
      6
      2
      2
      1
      4
      1
  • 68
    cm
  • 66
    cm
  • 65
    cm
  • 67
    cm
  • 64
    cm