CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Statistics
Question 1
1.
    • The Marks obtained by 34 students of a class in an examination is given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Marks
    6 - 11
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    No. of students
    7
    6
    7
    9
    5
  • Marks
    6 - 11
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    No. of students
    7
    7
    6
    9
    5
  • Marks
    6 - 11
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    No. of students
    7
    6
    10
    9
    5
  • Marks
    6 - 11
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    No. of students
    7
    8
    7
    9
    5
  • Marks
    6 - 11
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    No. of students
    7
    5
    7
    9
    6
Question 2
2.
    • The following table shows the weights of
    • 70
    • persons in a group.
    • Find the
    • mode weight.
    • Weight (in kg)
      40 - 45
      46 - 51
      52 - 57
      58 - 63
      64 - 69
      No. of persons
      19
      8
      5
      18
      20
  • 1431
    22
    kg
  • 1409
    22
    kg
  • 1411
    22
    kg
  • 1453
    22
    kg
  • 705
    11
    kg
Question 3
3.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      36 - 43
      27
      43 - 50
      9
      50 - 57
      x
      57 - 64
      7
      64 - 71
      12
  • 50.5
    -
    56.5
  • 50
    -
    57
  • 49.5
    -
    57.5
  • 49.5
    -
    57
  • 50
    -
    57.5
Question 4
4.
    • Wages of 25 labourers are given below. Find the median.
    • Wage (in rupees)
      302
      314
      322
      332
      361
      377
      409
      422
      437
      481
      484
      No. of labourers
      3
      3
      2
      2
      1
      2
      2
      2
      2
      4
      2
  • ₹
    378.00
  • ₹
    377.00
  • ₹
    379.00
  • ₹
    376.00
  • ₹
    375.00
Question 5
5.
    • The daily wages of
    • 158
    • workers in a factory are given below.
    • Find the
    • mode wage.
    • Wage (in rupees)
      20 - 30
      30 - 40
      40 - 50
      50 - 60
      60 - 70
      70 - 80
      80 - 90
      90 - 100
      No. of workers
      8
      29
      23
      27
      6
      20
      24
      21
  • ₹
    37.89
  • ₹
    38.78
  • ₹
    38.00
  • ₹
    37.78
  • ₹
    39.78
Question 6
6.
    • The following table shows the weights of
    • 88
    • persons in a group.
    • Find the
    • median weight.
    • Weight (in kg)
      50 - 58
      58 - 66
      66 - 74
      74 - 82
      82 - 90
      90 - 98
      98 - 106
      No. of persons
      7
      12
      13
      13
      16
      16
      11
  • 1060
    13
    kg
  • 1071
    13
    kg
  • 1059
    13
    kg
  • 1058
    13
    kg
  • 1084
    13
    kg
Question 7
7.
    • Daily wages of 63 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Daily wage (in Rs)
    252 - 257
    257 - 262
    262 - 267
    267 - 272
    272 - 277
    277 - 282
    No. of labourers
    8
    7
    16
    6
    10
    12
  • Daily wage (in Rs)
    252 - 257
    257 - 262
    262 - 267
    267 - 272
    272 - 277
    277 - 282
    No. of labourers
    8
    20
    7
    6
    10
    12
  • Daily wage (in Rs)
    252 - 257
    257 - 262
    262 - 267
    267 - 272
    272 - 277
    277 - 282
    No. of labourers
    8
    12
    20
    6
    10
    7
  • Daily wage (in Rs)
    252 - 257
    257 - 262
    262 - 267
    267 - 272
    272 - 277
    277 - 282
    No. of labourers
    8
    7
    20
    1
    10
    12
  • Daily wage (in Rs)
    252 - 257
    257 - 262
    262 - 267
    267 - 272
    272 - 277
    277 - 282
    No. of labourers
    8
    7
    20
    6
    10
    12
Question 8
8.
Emperical relation between Mean, Median and Mode is
  • Mode = 3Median - 2Mean
  • Mode = 2Median - 3Mean
  • Mode = 3Median + 2Mean
  • Mode = 3Median - 3Mean
Question 9
9.
    • Find the cumulative frequency of class
    • 58
      -
      64
    • .
    • Class-Interval
      30 - 36
      37 - 43
      44 - 50
      51 - 57
      58 - 64
      65 - 71
      Frequency
      8
      24
      9
      14
      5
      17
  • 60
  • 63
  • 61
  • 59
  • 57
Question 10
10.
    • Weights of 53 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Weight (in kg)
    43 - 48
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    No. of students
    6
    17
    6
    5
    19
  • Weight (in kg)
    43 - 48
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    No. of students
    6
    19
    6
    5
    17
  • Weight (in kg)
    43 - 48
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    No. of students
    6
    17
    9
    5
    19
  • Weight (in kg)
    43 - 48
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    No. of students
    6
    13
    6
    5
    19
  • Weight (in kg)
    43 - 48
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    No. of students
    6
    6
    17
    5
    19