CBSE Board Practice

CBSE Grade X - Statistics
Question 1
1.
    • Wages of 31 labourers are given below. Find the mode.
    • Wage (in rupees)
      313
      338
      339
      357
      370
      377
      410
      426
      436
      484
      No. of labourers
      1
      3
      2
      2
      3
      4
      6
      2
      4
      4
  • 410.00
  • 408.00
  • 412.00
  • 411.00
  • 409.00
Question 2
2.
    • Daily wages of 85 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Daily wage (in Rs)
    287 - 297
    297 - 307
    307 - 317
    317 - 327
    327 - 337
    337 - 347
    347 - 357
    No. of labourers
    19
    9
    9
    12
    10
    13
    17
  • Daily wage (in Rs)
    287 - 297
    297 - 307
    307 - 317
    317 - 327
    327 - 337
    337 - 347
    347 - 357
    No. of labourers
    19
    9
    11
    8
    10
    13
    17
  • Daily wage (in Rs)
    287 - 297
    297 - 307
    307 - 317
    317 - 327
    327 - 337
    337 - 347
    347 - 357
    No. of labourers
    19
    17
    9
    8
    10
    13
    9
  • Daily wage (in Rs)
    287 - 297
    297 - 307
    307 - 317
    317 - 327
    327 - 337
    337 - 347
    347 - 357
    No. of labourers
    19
    9
    9
    8
    10
    13
    17
Question 3
3.
    • The daily wages of
    • 139
    • workers in a factory are given below.
    • Find the
    • mean wage.
    • Wage (in rupees)
      30 - 35
      35 - 40
      40 - 45
      45 - 50
      50 - 55
      55 - 60
      60 - 65
      No. of workers
      26
      7
      30
      6
      29
      11
      30
  • 48.19
  • 49.18
  • 48.18
  • 50.18
Question 4
4.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    Frequency
    1
    13
    3
    11
    3
    5
    2
  • Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    Frequency
    5
    20
    2
    10
    16
    5
    1
  • Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    Frequency
    20
    20
    12
    20
    1
    8
    11
  • Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    Frequency
    7
    8
    16
    4
    13
    3
    13
  • Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    Frequency
    3
    4
    7
    11
    12
    5
    10
Question 5
5.
    • Ages of 16 students are given below. Find the mode.
    • Age (in years)
      10
      11
      13
      14
      15
      No. of students
      3
      3
      3
      2
      5
  • 17
    years
  • 16
    years
  • 15
    years
  • 14
    years
  • 13
    years
Question 6
6.
Which of the following class intervals are in inclusive form?
a)
25.5 - 31.5 , 31.5 - 37.5 , 37.5 - 43.5...
b)
41 - 46 , 46 - 51 , 51 - 56...
c)
44 - 49 , 50 - 55 , 56 - 61,...
d)
26 - 31 , 31 - 36 , 36 - 41,...
e)
26 - 31 , 32 - 37 , 38 - 43,...
  • {d,a,c}
  • {c,e}
  • {b,e,c}
  • {b,e}
  • {a,c}
Question 7
7.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    Frequency
    9
    13
    17
    5
    19
    14
  • Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    Frequency
    3
    11
    14
    8
    2
    4
  • Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    Frequency
    10
    10
    5
    9
    11
    9
  • Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    Frequency
    6
    10
    10
    17
    1
    18
  • Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    Frequency
    17
    20
    13
    18
    12
    18
Question 8
8.
    • If the mean of the following frequency distribution is
    • 29
      21

      37
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      10 - 18
      9
      19 - 27
      8
      28 - 36
      x
      37 - 45
      5
      46 - 54
      4
      55 - 63
      1
  • 7
  • 13
  • 10
  • 11
  • 9
Question 9
9.
    • The following table shows the weights of
    • 64
    • persons in a group.
    • Find the
    • mode weight.
    • Weight (in kg)
      40 - 48
      49 - 57
      58 - 66
      67 - 75
      76 - 84
      No. of persons
      12
      11
      15
      14
      12
  • 324

    5
    kg
  • 657

    10
    kg
  • 649

    10
    kg
  • 647

    10
    kg
  • 667

    10
    kg
Question 10
10.
The mean and median of a uni-modal grouped data are 48.3 and 47.5 respectively. Find the mode of the data.
  • 51.9
  • 50.9
  • 48.9
  • 49.9
  • 47.9