CBSE Board Practice

CBSE Grade X - Statistics
Question 1
1.
    • Daily wages of 57 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • Daily wage (in Rs)
    246 - 252
    252 - 258
    258 - 264
    264 - 270
    270 - 276
    276 - 282
    No. of labourers
    6
    7
    20
    5
    13
    6
  • Daily wage (in Rs)
    246 - 252
    252 - 258
    258 - 264
    264 - 270
    270 - 276
    276 - 282
    No. of labourers
    6
    6
    18
    5
    13
    7
  • Daily wage (in Rs)
    246 - 252
    252 - 258
    258 - 264
    264 - 270
    270 - 276
    276 - 282
    No. of labourers
    6
    20
    6
    5
    13
    7
  • Daily wage (in Rs)
    246 - 252
    252 - 258
    258 - 264
    264 - 270
    270 - 276
    276 - 282
    No. of labourers
    6
    6
    20
    5
    13
    7
  • Daily wage (in Rs)
    246 - 252
    252 - 258
    258 - 264
    264 - 270
    270 - 276
    276 - 282
    No. of labourers
    6
    6
    20
    9
    13
    7
Question 2
2.
    • Ages of 20 students are given below. Find the median.
    • Age (in years)
      10
      11
      12
      13
      14
      15
      No. of students
      1
      4
      7
      3
      4
      1
  • 14
    years
  • 12
    years
  • 13
    years
  • 11
    years
  • 10
    years
Question 3
3.
    • Scores of 10 students are given below. Find the median.
    • Score
      70
      74
      78
      80
      81
      82
      83
      88
      No. of students
      1
      1
      1
      1
      1
      1
      1
      3
  • 167

    2
  • 165

    2
  • 163

    2
  • 82
Question 4
4.
    • Convert the exclusive form of the class interval 20.5 - 25.5 to inclusive form
  • 20.5
    -
    25.5
  • 21
    -
    25
  • 21
    -
    25.5
  • 20.5
    -
    25
  • 21.5
    -
    24.5
Question 5
5.
    • Heights of 105 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Height (in cm)
    66 - 74
    75 - 83
    84 - 92
    93 - 101
    102 - 110
    111 - 119
    120 - 128
    129 - 137
    No. of plants
    7
    10
    12
    19
    17
    16
    12
    12
  • Height (in cm)
    66 - 74
    75 - 83
    84 - 92
    93 - 101
    102 - 110
    111 - 119
    120 - 128
    129 - 137
    No. of plants
    7
    10
    19
    12
    17
    16
    12
    12
  • Height (in cm)
    66 - 74
    75 - 83
    84 - 92
    93 - 101
    102 - 110
    111 - 119
    120 - 128
    129 - 137
    No. of plants
    7
    10
    19
    12
    21
    16
    12
    12
  • Height (in cm)
    66 - 74
    75 - 83
    84 - 92
    93 - 101
    102 - 110
    111 - 119
    120 - 128
    129 - 137
    No. of plants
    7
    12
    19
    12
    17
    16
    12
    10
  • Height (in cm)
    66 - 74
    75 - 83
    84 - 92
    93 - 101
    102 - 110
    111 - 119
    120 - 128
    129 - 137
    No. of plants
    7
    10
    16
    12
    17
    16
    12
    12
Question 6
6.
Which of the following are true?
a)
The number of times a particular observation occurs is called its frequency.
b)
Each numerical figure in a data set is called an observation.
c)
The true lower limit of the exclusive form class interval 10 - 20 is 10.
d)
The true lower limit of the inclusive form class interval 10 - 20 is 10.
e)
The difference between the true upper limit and true lower limit is called the class mark.
  • {d,e,c}
  • {a,b,c}
  • {d,a,b}
  • {d,a}
  • {e,b}
Question 7
7.
    • If the upper and lower limit of class interval are 25 and 18 respectively, then the class interval is
  • 17.5
    -
    25.5
  • 18
    -
    25
  • 18
    -
    25.5
  • 17.5
    -
    25
  • 18.5
    -
    24.5
Question 8
8.
    • Wages of 15 labourers are given below. Find the mean.
    • Wage (in rupees)
      300
      309
      318
      331
      332
      345
      395
      453
      No. of labourers
      2
      3
      1
      2
      3
      1
      1
      2
  • 343.40
  • 345.27
  • 343.27
  • 344.27
  • 343.33
Question 9
9.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      35 - 41
      17
      42 - 48
      24
      49 - 55
      x
      56 - 62
      17
      63 - 69
      17
  • 49
    -
    55
  • 48.5
    -
    56
  • 48
    -
    56
  • 48.5
    -
    55.5
  • 48
    -
    55.5
Question 10
10.
    • The heights of 58 pupils in a school are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    No. of pupils
    10
    5
    11
    8
    5
    7
    12
  • Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    No. of pupils
    10
    11
    7
    8
    5
    7
    12
  • Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    No. of pupils
    10
    11
    5
    8
    5
    7
    12
  • Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    No. of pupils
    10
    12
    5
    8
    5
    7
    11
  • Height (in cm)
    120 - 127
    128 - 135
    136 - 143
    144 - 151
    152 - 159
    160 - 167
    168 - 175
    No. of pupils
    10
    11
    5
    13
    5
    7
    12