EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • Given an even number of random samples with the middle two samples as
    • x +
    • 14
    • and x +
    • 16
    • and the median as
    • 23
    • ,
    • find the value of x.
  • (i)
    7
  • (ii)
    9
  • (iii)
    6
  • (iv)
    11
  • (v)
    8
Question 2
2.
    • If some random sample data is arranged in a frequency distribution table in
    • inclusive form
    • with
    • 1
    • -
    • 8
    • as the first class,
    • then the observation
    • 16
    • falls in which class?
  • (i)
    8
    -
    15
  • (ii)
    9
    -
    16
  • (iii)
    8.5
    -
    16.5
  • (iv)
    9.5
    -
    15.5
  • (v)
    10
    -
    17
Question 3
3.
    • Given the mean of
    • 10
    • samples as
    • 4
      3

      5
    • ,
    • what is the new mean if two samples
    • 4
    • and
    • 8
    • are added ?
  • (i)
    37

    8
  • (ii)
    31

    6
  • (iii)
    29

    6
  • (iv)
    21

    4
  • (v)
    9

    2
Question 4
4.
The marks obtained by Sai in his annual exam are shown below. Find the subject that has maximum score.
  • (i)
    German
  • (ii)
    Science
  • (iii)
    Telugu
  • (iv)
    Spanish
  • (v)
    Biology
Question 5
5.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      42 - 50
      5
      51 - 59
      28
      60 - 68
      x
      69 - 77
      4
      78 - 86
      11
  • (i)
    59
    -
    68.5
  • (ii)
    59
    -
    69
  • (iii)
    59.5
    -
    68.5
  • (iv)
    59.5
    -
    69
  • (v)
    60
    -
    68
Question 6
6.
    • If some random sample data is arranged in a frequency distribution table in
    • exclusive form
    • with
    • 3
    • -
    • 12
    • as the first class,
    • then the observation
    • 26
    • falls in which class?
  • (i)
    21
    -
    30
  • (ii)
    20
    -
    29
  • (iii)
    22
    -
    31
  • (iv)
    20.5
    -
    30.5
  • (v)
    21.5
    -
    29.5
Question 7
7.
Read the given column-graph. Find the month that has maximum rainfall.
  • (i)
    July
  • (ii)
    June
  • (iii)
    August
  • (iv)
    October
  • (v)
    November
Question 8
8.
    • The marks obtained by 12 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 1.
      • 39
      • 30
      • 8
      • 13
      • 48
      • 25
      • 21
      • 50
      • 4
      • 35
      • 26
      • 37
  • (i)
    27
  • (ii)
    28
  • (iii)
    29
  • (iv)
    31
  • (v)
    30
Question 9
9.
Read the given column-graph. Find the month that has minimum rainfall.
  • (i)
    June
  • (ii)
    August
  • (iii)
    September
  • (iv)
    July
  • (v)
    October
Question 10
10.
    • Scores of 11 students are given below. Find the mode.
    • Score
      71
      72
      73
      75
      76
      80
      88
      No. of students
      2
      1
      1
      1
      4
      1
      1
  • (i)
    78
  • (ii)
    74
  • (iii)
    76
  • (iv)
    77
  • (v)
    75
Question 11
11.
Find the median of the first 20 odd numbers.
  • (i)
    19
  • (ii)
    21
  • (iii)
    17
  • (iv)
    20
  • (v)
    22
Question 12
12.
    • The following table gives the data regarding
    • the favourite sport of
    • 137
    • students of a school.
    • Find number of students who like
    • boxing
    • .
    • Sport
      running
      cricket
      hockey
      wrestling
      swimming
      kabaddi
      boxing
      No. of Students
      18
      11
      16
      10
      45
      13
      24
  • (i)
    23
  • (ii)
    25
  • (iii)
    22
  • (iv)
    24
  • (v)
    27
Question 13
13.
    • 684 students of a certain locality use different modes of travel to school as given below.
    • Mode of travel
      RTC Bus
      By Foot
      School Van
      Auto
      Moped
      School Bus
      Scooter
      No. of Students
      72
      81
      117
      171
      108
      45
      90
    • Find the number of students whose travelling mode is School Bus.
  • (i)
    44
  • (ii)
    42
  • (iii)
    47
  • (iv)
    46
  • (v)
    45
Question 14
14.
    • Wages of 25 labourers are given below. Find the median.
    • Wage (in rupees)
      326
      334
      339
      347
      374
      400
      461
      477
      No. of labourers
      2
      3
      5
      2
      2
      1
      4
      6
  • (i)
    375.00
  • (ii)
    373.00
  • (iii)
    374.00
  • (iv)
    376.00
  • (v)
    372.00
Question 15
15.
There are certain creatures in a zoo. Find the type of creature that has minimum presense in the zoo.
  • (i)
    Wild animals
  • (ii)
    Reptiles
  • (iii)
    Water animals
  • (iv)
    Beast animals
  • (v)
    Birds
Question 16
16.
There are certain creatures in a zoo. Find the type of creature that has maximum presense in the zoo.
  • (i)
    Beast animals
  • (ii)
    Land animals
  • (iii)
    Water animals
  • (iv)
    Reptiles
  • (v)
    Domestic animals
Question 17
17.
    • Arrange the following data
      • 19
      • 33
      • 13
      • 14
      • 17
      • 15
      • 10
      • 14
      • 12
      • 10
    • in ascending order
  • (i)
    • 12
    • 38
    • 16
    • 28
    • 17
    • 21
    • 30
    • 21
    • 23
    • 24
  • (ii)
    • 10
    • 10
    • 12
    • 13
    • 14
    • 14
    • 15
    • 17
    • 19
    • 33
  • (iii)
    • 24
    • 20
    • 26
    • 10
    • 25
    • 35
    • 17
    • 13
    • 40
    • 26
  • (iv)
    • 34
    • 37
    • 38
    • 37
    • 26
    • 16
    • 26
    • 23
    • 25
    • 20
  • (v)
    • 27
    • 19
    • 19
    • 38
    • 40
    • 16
    • 32
    • 26
    • 32
    • 32
Question 18
18.
    • The class mark of the class with frequency x is
    • Class-Interval
      Frequency
      5 - 15
      2
      16 - 26
      23
      27 - 37
      24
      38 - 48
      x
      49 - 59
      3
  • (i)
    43
  • (ii)
    41
  • (iii)
    42
  • (iv)
    45
  • (v)
    44
Question 19
19.
    • Ages of 11 students (in years) are given below. Find the median age.
      • 13
      • 15
      • 10
      • 13
      • 13
      • 11
      • 13
      • 12
      • 15
      • 10
      • 12
  • (i)
    11
    years
  • (ii)
    12
    years
  • (iii)
    14
    years
  • (iv)
    15
    years
  • (v)
    13
    years
Question 20
20.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      28 - 37
      37 - 46
      46 - 55
      55 - 64
      64 - 73
      73 - 82
      82 - 91
      91 - 100
      Frequency
      23
      6
      10
      4
      26
      20
      2
      19
  • (i)
    107
  • (ii)
    111
  • (iii)
    113
  • (iv)
    110
  • (v)
    109
Question 21
21.
    • The class mark of the class with frequency x is
    • Class-Interval
      Frequency
      3 - 13
      19
      13 - 23
      x
      23 - 33
      30
      33 - 43
      20
      43 - 53
      11
  • (i)
    19
  • (ii)
    18
  • (iii)
    17
  • (iv)
    16
  • (v)
    21
Question 22
22.
    • Weights of 30 students are given below. Find the median.
    • Weight (in kg)
      40
      41
      44
      46
      48
      51
      54
      No. of students
      4
      4
      4
      6
      4
      4
      4
  • (i)
    44
    kg
  • (ii)
    47
    kg
  • (iii)
    46
    kg
  • (iv)
    48
    kg
  • (v)
    45
    kg
Question 23
23.
    • The class marks of a frequency distribution are
    • 30.5 , 37.5 , 44.5 , 51.5
    • .
    • Find the class size and class intervals
    • in exclusive form
  • (i)
    8
    ;
    27
    -
    34
    ,
    35
    -
    42
    ,
    43
    -
    50
    ,
    51
    -
    58
  • (ii)
    7
    ;
    26
    -
    33
    ,
    33
    -
    40
    ,
    40
    -
    47
    ,
    47
    -
    54
  • (iii)
    7
    ;
    28
    -
    35
    ,
    35
    -
    42
    ,
    42
    -
    49
    ,
    49
    -
    56
  • (iv)
    9
    ;
    26
    -
    34
    ,
    35
    -
    43
    ,
    44
    -
    52
    ,
    53
    -
    61
  • (v)
    7
    ;
    27
    -
    34
    ,
    34
    -
    41
    ,
    41
    -
    48
    ,
    48
    -
    55
Question 24
24.
    • Heights of 25 plants are given below. Find the median.
    • Height (in cm)
      51
      61
      66
      67
      79
      86
      96
      100
      No. of plants
      2
      2
      4
      4
      2
      4
      4
      3
  • (i)
    77
    cm
  • (ii)
    78
    cm
  • (iii)
    79
    cm
  • (iv)
    80
    cm
  • (v)
    81
    cm
Question 25
25.
    • The observations of an ungrouped data are
    • x

      1
    • ,
    • x

      2
    • ,
    • x

      3
    • and
    • x

      1
    • <
    • x

      2
    • <
    • x

      3
    • .
    • If the mean and median of the data are
    • 42
    • and
    • 28
    • respectively and
    • x

      3
    • -
    • x

      1
    • =
    • 70
    • ,
    • find
    • x

      1
    • ,
    • x

      2
    • ,
    • x

      3
  • (i)
      • 28
      • ,
      • 28
      • ,
      • 168
  • (ii)
      • 18
      • ,
      • 28
      • ,
      • 88
  • (iii)
      • 16
      • ,
      • 28
      • ,
      • 86
  • (iv)
      • 14
      • ,
      • 28
      • ,
      • 84
    Assignment Key

  •  1) (v)
  •  2) (ii)
  •  3) (iii)
  •  4) (i)
  •  5) (iii)
  •  6) (i)
  •  7) (i)
  •  8) (iii)
  •  9) (i)
  •  10) (iii)
  •  11) (iv)
  •  12) (iv)
  •  13) (v)
  •  14) (iii)
  •  15) (i)
  •  16) (iii)
  •  17) (ii)
  •  18) (i)
  •  19) (v)
  •  20) (iv)
  •  21) (ii)
  •  22) (iii)
  •  23) (v)
  •  24) (iii)
  •  25) (iv)