SSC Board Practice

SSC Grade VIII - Frequency Distribution Tables and Graphs
Question 1
1.
    • Ages of 249 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • Age (in years)
    13 - 21
    22 - 30
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of students
    28
    22
    23
    40
    21
    31
    41
    43
  • Age (in years)
    13 - 21
    22 - 30
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of students
    28
    43
    40
    23
    21
    31
    41
    22
  • Age (in years)
    13 - 21
    22 - 30
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of students
    28
    43
    26
    40
    21
    31
    41
    22
  • Age (in years)
    13 - 21
    22 - 30
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of students
    28
    43
    23
    40
    18
    31
    41
    22
  • Age (in years)
    13 - 21
    22 - 30
    31 - 39
    40 - 48
    49 - 57
    58 - 66
    67 - 75
    76 - 84
    No. of students
    28
    43
    23
    40
    21
    31
    41
    22
Question 2
2.
    • The marks obtained by
    • 16
    • students in an examination are given below.
    • Represent the data in the form of a frequency distribution table
    • in exclusive form
    • taking class size
    • 8
    • .
      • 53
      • 55
      • 59
      • 50
      • 55
      • 63
      • 62
      • 69
      • 53
      • 50
      • 60
      • 48
      • 61
      • 58
      • 68
      • 40
  • Marks
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of Students
    1
    6
    7
    2
  • Marks
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of Students
    1
    7
    2
    2
  • Marks
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of Students
    1
    7
    6
    2
  • Marks
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of Students
    1
    12
    6
    2
  • Marks
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of Students
    2
    7
    6
    1
Question 3
3.
    • The arithmetic mean of
      • 28
      • 18
      • 3
      • 45
      • 35
      • 6
      • 14
    • is
  • 23.29
  • 20.29
  • 19.29
  • 22.29
  • 21.29
Question 4
4.
Heights of 151 students (in cm) are given below. Identify the class mark table for the given histogram.
  • Height (in cm)
    134.5
    143.5
    152.5
    161.5
    170.5
    No. of students
    37
    37
    19
    36
    27
  • Height (in cm)
    134.5
    143.5
    152.5
    161.5
    170.5
    No. of students
    37
    32
    19
    36
    27
  • Height (in cm)
    134.5
    143.5
    152.5
    161.5
    170.5
    No. of students
    37
    32
    15
    36
    27
  • Height (in cm)
    134.5
    143.5
    152.5
    161.5
    170.5
    No. of students
    37
    19
    32
    36
    27
  • Height (in cm)
    134.5
    143.5
    152.5
    161.5
    170.5
    No. of students
    37
    27
    19
    36
    32
Question 5
5.
Greater than cumulative curves are drawn using
  • lower boundaries of classes and greater than cumulative frequencies
  • upper boundaries of classes and greater than cumulative frequencies
  • mid values of classes and greater than cumulative frequencies
  • upper boundaries of classes and less than cumulative frequencies
Question 6
6.
    • Scores of 212 students are given below.
    • Identify the class interval table for the given frequency polygon.
  • Score
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    109 - 114
    115 - 120
    121 - 126
    127 - 132
    No. of students
    45
    46
    12
    5
    21
    22
    27
    34
  • Score
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    109 - 114
    115 - 120
    121 - 126
    127 - 132
    No. of students
    45
    34
    8
    5
    21
    22
    27
    46
  • Score
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    109 - 114
    115 - 120
    121 - 126
    127 - 132
    No. of students
    45
    34
    12
    5
    17
    22
    27
    46
  • Score
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    109 - 114
    115 - 120
    121 - 126
    127 - 132
    No. of students
    45
    34
    5
    12
    21
    22
    27
    46
  • Score
    85 - 90
    91 - 96
    97 - 102
    103 - 108
    109 - 114
    115 - 120
    121 - 126
    127 - 132
    No. of students
    45
    34
    12
    5
    21
    22
    27
    46
Question 7
7.
    • If the mean of
      • 7
      • 9
    • x
      • 4
      • 2
    • is
    • 5
      2

      5
    • ,
    • find the value of x.
  • 3
  • 6
  • 8
  • 4
  • 5
Question 8
8.
    • Weights of 175 students (in kg) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • Weight (in kg)
    42 - 47
    47 - 52
    52 - 57
    57 - 62
    62 - 67
    67 - 72
    72 - 77
    No. of students
    15
    30
    31
    10
    40
    27
    22
  • Weight (in kg)
    42 - 47
    47 - 52
    52 - 57
    57 - 62
    62 - 67
    67 - 72
    72 - 77
    No. of students
    15
    22
    31
    10
    40
    27
    30
  • Weight (in kg)
    42 - 47
    47 - 52
    52 - 57
    57 - 62
    62 - 67
    67 - 72
    72 - 77
    No. of students
    15
    22
    31
    12
    40
    27
    30
  • Weight (in kg)
    42 - 47
    47 - 52
    52 - 57
    57 - 62
    62 - 67
    67 - 72
    72 - 77
    No. of students
    15
    31
    22
    10
    40
    27
    30
  • Weight (in kg)
    42 - 47
    47 - 52
    52 - 57
    57 - 62
    62 - 67
    67 - 72
    72 - 77
    No. of students
    15
    22
    35
    10
    40
    27
    30
Question 9
9.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      15 - 20
      16
      21 - 26
      22
      27 - 32
      27
      33 - 38
      34
      39 - 44
      44
  • Class-Interval
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    Frequency
    16
    6
    5
    7
    10
  • Class-Interval
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    Frequency
    16
    10
    5
    7
    6
  • Class-Interval
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    Frequency
    16
    6
    1
    7
    10
  • Class-Interval
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    Frequency
    16
    5
    6
    7
    10
  • Class-Interval
    15 - 20
    21 - 26
    27 - 32
    33 - 38
    39 - 44
    Frequency
    16
    1
    5
    7
    10
Question 10
10.
Find the mean of first 10 multiples of 18.
  • 102
  • 98
  • 100
  • 99
  • 96