EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • Convert the exclusive form of the class interval 47.5 - 56.5 to inclusive form
  • (i)
    47.5
    -
    56
  • (ii)
    48
    -
    56.5
  • (iii)
    48.5
    -
    55.5
  • (iv)
    47.5
    -
    56.5
  • (v)
    48
    -
    56
Question 2
2.
    • Wages of 11 labourers are given below. Find the mode.
    • Wage (in rupees)
      381
      393
      431
      497
      500
      No. of labourers
      2
      4
      2
      1
      2
  • (i)
    ₹
    394.00
  • (ii)
    ₹
    391.00
  • (iii)
    ₹
    392.00
  • (iv)
    ₹
    395.00
  • (v)
    ₹
    393.00
Question 3
3.
    • The marks obtained by 12 students in a test are given below. Find their mode marks.
      • 5
      • 42
      • 33
      • 32
      • 44
      • 48
      • 44
      • 44
      • 19
      • 34
      • 22
      • 27
  • (i)
    44
  • (ii)
    43
  • (iii)
    45
  • (iv)
    42
  • (v)
    47
Question 4
4.
    • Rainfall of 15 days (in mm) are given below. Find the median rainfall.
      • 14
      • 12
      • 13
      • 12
      • 10
      • 10
      • 9
      • 5
      • 6
      • 13
      • 11
      • 5
      • 11
      • 9
      • 6
  • (i)
    12
    mm
  • (ii)
    9
    mm
  • (iii)
    8
    mm
  • (iv)
    10
    mm
  • (v)
    11
    mm
Question 5
5.
On a certain day, the temperature in a city was recorded as shown below. Find the time that has 11 °C temperature.
  • (i)
    1 p.m.
  • (ii)
    11 a.m.
  • (iii)
    9 a.m.
  • (iv)
    3 p.m.
  • (v)
    5 a.m.
Question 6
6.
    • Rainfall of 20 days are given below. Find the median.
    • Rainfall (in mm)
      5
      6
      7
      8
      12
      13
      14
      15
      No. of days
      2
      1
      6
      1
      2
      4
      3
      1
  • (i)
    8
    mm
  • (ii)
    9
    mm
  • (iii)
    12
    mm
  • (iv)
    10
    mm
  • (v)
    11
    mm
Question 7
7.
    • Weights of 20 students are given below. Find the median.
    • Weight (in kg)
      41
      43
      45
      46
      48
      49
      59
      60
      No. of students
      1
      3
      5
      4
      2
      2
      1
      2
  • (i)
    48
    kg
  • (ii)
    46
    kg
  • (iii)
    45
    kg
  • (iv)
    44
    kg
  • (v)
    47
    kg
Question 8
8.
    • 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
    • 48
    • and
    • 32
    • respectively and
    • x

      3
    • -
    • x

      1
    • =
    • 80
    • ,
    • find
    • x

      1
    • ,
    • x

      2
    • ,
    • x

      3
  • (i)
      • 20
      • ,
      • 32
      • ,
      • 100
  • (ii)
      • 16
      • ,
      • 32
      • ,
      • 96
  • (iii)
      • 32
      • ,
      • 32
      • ,
      • 192
  • (iv)
      • 18
      • ,
      • 32
      • ,
      • 98
Question 9
9.
    • A frequency distribution table is given below.
    • Find the
    • mean .
    • Class-Interval
      11 - 16
      16 - 21
      21 - 26
      26 - 31
      31 - 36
      36 - 41
      41 - 46
      Frequency
      29
      45
      34
      5
      2
      5
      20
  • (i)
    687

    28
  • (ii)
    715

    28
  • (iii)
    165

    7
  • (iv)
    659

    28
  • (v)
    661

    28
Question 10
10.
    • Heights of 25 plants are given below. Find the mean.
    • Height (in cm)
      50
      57
      59
      64
      66
      67
      87
      98
      99
      No. of plants
      4
      3
      3
      2
      2
      3
      1
      2
      5
  • (i)
    1788

    25
    cm
  • (ii)
    1837

    25
    cm
  • (iii)
    1787

    25
    cm
  • (iv)
    1789

    25
    cm
  • (v)
    1812

    25
    cm
Question 11
11.
    • The arithmetic mean of
      • 21
      • 27
      • 26
      • 12
      • 26
      • 25
      • 11
    • is
  • (i)
    19.14
  • (ii)
    23.14
  • (iii)
    21.14
  • (iv)
    20.14
  • (v)
    22.14
Question 12
12.
    • Heights of 13 plants (in cm) are given below. Find the mean height.
      • 72
      • 76
      • 50
      • 81
      • 76
      • 89
      • 79
      • 72
      • 65
      • 61
      • 87
      • 55
      • 80
  • (i)
    956

    13
    cm
  • (ii)
    969

    13
    cm
  • (iii)
    945

    13
    cm
  • (iv)
    944

    13
    cm
  • (v)
    943

    13
    cm
Question 13
13.
Find the median of the first 10 even numbers.
  • (i)
    11
  • (ii)
    10
  • (iii)
    8
  • (iv)
    12
  • (v)
    14
Question 14
14.
    • Heights of 25 students are given below. Find the mean.
    • Height (in cm)
      132
      146
      150
      151
      172
      173
      No. of students
      6
      4
      5
      1
      6
      3
  • (i)
    3829

    25
    cm
  • (ii)
    3853

    25
    cm
  • (iii)
    3828

    25
    cm
  • (iv)
    3878

    25
    cm
  • (v)
    766

    5
    cm
Question 15
15.
    • Scores of 15 students are given below. Find the median.
    • Score
      71
      72
      73
      74
      75
      79
      80
      83
      No. of students
      2
      2
      1
      2
      3
      1
      2
      2
  • (i)
    74
  • (ii)
    75
  • (iii)
    76
  • (iv)
    77
  • (v)
    73
Question 16
16.
    • The following table gives the data regarding
    • the favourite sport of
    • 160
    • students of a school.
    • Find number of students who like
    • long jump
    • .
    • Sport
      football
      cricket
      chess
      long jump
      wrestling
      basketball
      swimming
      No. of Students
      10
      11
      31
      36
      14
      34
      24
  • (i)
    37
  • (ii)
    36
  • (iii)
    35
  • (iv)
    34
  • (v)
    38
Question 17
17.
Which of the following class intervals are in exclusive form?
a)
30 - 36 , 36 - 42 , 42 - 48...
b)
12 - 18 , 19 - 25 , 26 - 32,...
c)
11.5 - 18.5 , 18.5 - 25.5 , 25.5 - 32.5...
d)
33 - 39 , 40 - 46 , 47 - 53,...
e)
12 - 18 , 18 - 24 , 24 - 30,...
  • (i)
    {b,a,c}
  • (ii)
    {b,d,e}
  • (iii)
    {a,c,e}
  • (iv)
    {b,a}
  • (v)
    {d,c}
Question 18
18.
Given the bar graph, find the minimum frequency
  • (i)
    45
  • (ii)
    50
  • (iii)
    35
  • (iv)
    30
  • (v)
    40
Question 19
19.
Which of the following class intervals are in inclusive form?
a)
33 - 39 , 39 - 45 , 45 - 51...
b)
36 - 42 , 43 - 49 , 50 - 56,...
c)
15 - 21 , 21 - 27 , 27 - 33,...
d)
14.5 - 21.5 , 21.5 - 28.5 , 28.5 - 35.5...
e)
15 - 21 , 22 - 28 , 29 - 35,...
  • (i)
    {c,e,b}
  • (ii)
    {a,b}
  • (iii)
    {d,a,b}
  • (iv)
    {c,e}
  • (v)
    {b,e}
Question 20
20.
    • The marks obtained by 10 students in a test are given below. Find the mean of their marks when the marks of each student is decreased by 1.
      • 45
      • 12
      • 24
      • 37
      • 38
      • 34
      • 33
      • 30
      • 41
      • 37
  • (i)
    385

    12
  • (ii)
    319

    10
  • (iii)
    323

    10
  • (iv)
    257

    8
  • (v)
    321

    10
Question 21
21.
Read the column-graph given below. Find the year that has minimum food grains production.
  • (i)
    2010
  • (ii)
    2008
  • (iii)
    2011
  • (iv)
    2007
  • (v)
    2009
Question 22
22.
    • 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
    • 7
    • .
      • 76
      • 78
      • 79
      • 48
      • 65
      • 60
      • 53
      • 41
      • 51
      • 64
      • 71
      • 68
      • 48
      • 75
      • 49
      • 75
  • (i)
    Marks
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    76 - 83
    No. of Students
    1
    5
    1
    7
    3
    3
  • (ii)
    Marks
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    76 - 83
    No. of Students
    1
    5
    1
    3
    3
    3
  • (iii)
    Marks
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    76 - 83
    No. of Students
    1
    3
    1
    3
    3
    5
  • (iv)
    Marks
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    76 - 83
    No. of Students
    1
    1
    5
    3
    3
    3
  • (v)
    Marks
    41 - 48
    48 - 55
    55 - 62
    62 - 69
    69 - 76
    76 - 83
    No. of Students
    1
    5
    5
    3
    3
    3
Question 23
23.
    • Heights of 15 students are given below. Find the median.
    • Height (in cm)
      131
      135
      139
      167
      168
      171
      No. of students
      2
      3
      4
      1
      1
      4
  • (i)
    141
    cm
  • (ii)
    139
    cm
  • (iii)
    137
    cm
  • (iv)
    138
    cm
  • (v)
    140
    cm
Question 24
24.
    • Ages of 13 students (in years) are given below. Find the mean age.
      • 13
      • 14
      • 11
      • 11
      • 15
      • 13
      • 14
      • 11
      • 14
      • 11
      • 10
      • 13
      • 12
  • (i)
    164

    13
    years
  • (ii)
    162

    13
    years
  • (iii)
    188

    13
    years
  • (iv)
    163

    13
    years
  • (v)
    175

    13
    years
Question 25
25.
    • The number of classes of class size
    • 5
    • required to represent
    • the given random sample in exclusive form
      • 1
      • 5
      • 5
      • 6
      • 7
      • 9
      • 9
      • 12
      • 17
      • 18
      • 18
      • 20
      • 27
      • 27
      • 28
      • 29
      • 30
      • 31
      • 35
      • 37
      • 37
      • 37
      • 38
      • 40
      • 42
      • 47
  • (i)
    11
  • (ii)
    12
  • (iii)
    10
  • (iv)
    7
  • (v)
    9
    Assignment Key

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