EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Median, Quartiles and Mode
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • A histogram with data is given below.
    • Find the mode
    • .
  • (i)
    47.00
  • (ii)
    57.00
  • (iii)
    52.00
  • (iv)
    62.00
  • (v)
    42.00
Question 2
2.
    • A histogram diagram with data is given below.
    • Find the modal class
  • (i)
    28
    -
    33
  • (ii)
    33
    -
    38
  • (iii)
    23
    -
    28
  • (iv)
    18
    -
    23
  • (v)
    13
    -
    18
Question 3
3.
    • Heights of 30 students are given below. Find the first quartile.
    • Height (in cm)
      135
      136
      137
      139
      146
      165
      167
      173
      175
      No. of students
      5
      3
      3
      1
      7
      3
      2
      3
      3
  • (i)
    138
  • (ii)
    135
  • (iii)
    137
  • (iv)
    136
  • (v)
    134
Question 4
4.
    • A frequency distribution table is given below.
    • Find the
    • median .
    • Class-Interval
      12 - 22
      22 - 32
      32 - 42
      42 - 52
      52 - 62
      62 - 72
      72 - 82
      82 - 92
      Frequency
      34
      29
      38
      36
      24
      35
      16
      45
  • (i)
    1859

    36
  • (ii)
    1787

    36
  • (iii)
    149

    3
  • (iv)
    1823

    36
  • (v)
    1789

    36
Question 5
5.
    • Heights of 26 plants are given below. Find the mode.
    • Height (in cm)
      52
      53
      58
      72
      74
      75
      81
      90
      97
      No. of plants
      2
      2
      3
      4
      6
      3
      3
      2
      1
  • (i)
    73
    cm
  • (ii)
    72
    cm
  • (iii)
    75
    cm
  • (iv)
    76
    cm
  • (v)
    74
    cm
Question 6
6.
    • Weights of 21 students are given below. Find the mode.
    • Weight (in kg)
      41
      43
      47
      48
      54
      55
      56
      58
      59
      No. of students
      4
      1
      1
      2
      3
      1
      3
      3
      3
  • (i)
    39
    kg
  • (ii)
    41
    kg
  • (iii)
    42
    kg
  • (iv)
    43
    kg
  • (v)
    40
    kg
Question 7
7.
    • Scores of 10 students are given below. Find the median.
    • Score
      74
      75
      81
      88
      89
      No. of students
      1
      2
      2
      2
      3
  • (i)
    173

    2
  • (ii)
    85
  • (iii)
    171

    2
  • (iv)
    169

    2
Question 8
8.
    • Weights of 30 students are given below. Find the median.
    • Weight (in kg)
      40
      41
      43
      49
      50
      51
      52
      58
      59
      No. of students
      3
      3
      5
      4
      3
      3
      2
      4
      3
  • (i)
    50
    kg
  • (ii)
    103

    2
    kg
  • (iii)
    101

    2
    kg
  • (iv)
    99

    2
    kg
Question 9
9.
    • Daily wages of 74 labourers (in ₹) are shown in the given ogive.
    • Find the number of
    • labourers
    • whose wage is
    • less
    • than
    • ₹286
  • (i)
    9
  • (ii)
    14
  • (iii)
    8
  • (iv)
    11
  • (v)
    13
Question 10
10.
Which of the following class intervals are in exclusive form?
a)
51 - 61 , 61 - 71 , 71 - 81...
b)
21 - 31 , 32 - 42 , 43 - 53,...
c)
54 - 64 , 65 - 75 , 76 - 86,...
d)
20.5 - 31.5 , 31.5 - 42.5 , 42.5 - 53.5...
e)
21 - 31 , 31 - 41 , 41 - 51,...
  • (i)
    {b,c,e}
  • (ii)
    {c,d}
  • (iii)
    {b,a}
  • (iv)
    {b,a,d}
  • (v)
    {a,d,e}
Question 11
11.
    • The marks obtained by
    • 62
    • students in an examination are shown in the given ogive.
    • Find the number of students who obtained
    • more
    • than
    • 5
    • marks in examination.
  • (i)
    63
  • (ii)
    60
  • (iii)
    61
  • (iv)
    62
  • (v)
    64
Question 12
12.
    • Rainfall of 11 days are given below. Find the mode.
    • Rainfall (in mm)
      6
      7
      8
      10
      13
      15
      No. of days
      3
      2
      2
      1
      1
      2
  • (i)
    4
    mm
  • (ii)
    6
    mm
  • (iii)
    5
    mm
  • (iv)
    7
    mm
  • (v)
    8
    mm
Question 13
13.
    • Ages of 15 students (in years) are given below. Find the mode age.
      • 13
      • 13
      • 14
      • 10
      • 14
      • 13
      • 14
      • 15
      • 12
      • 14
      • 15
      • 15
      • 11
      • 14
      • 14
  • (i)
    12
    years
  • (ii)
    14
    years
  • (iii)
    13
    years
  • (iv)
    15
    years
  • (v)
    16
    years
Question 14
14.
    • The given ogive represents the heights of workers (in cm) in a factory.
    • Find the number of workers whose height is more than
    • 158 cm
  • (i)
    24
  • (ii)
    14
  • (iii)
    19
  • (iv)
    15
  • (v)
    23
Question 15
15.
    • Scores of 11 students are given below. Find the mode.
    • Score
      72
      74
      75
      78
      80
      81
      85
      No. of students
      1
      1
      1
      1
      2
      1
      4
  • (i)
    87
  • (ii)
    84
  • (iii)
    86
  • (iv)
    83
  • (v)
    85
Question 16
16.
    • The following table shows the weights of
    • 101
    • persons in a group.
    • Find the
    • mode weight.
    • Weight (in kg)
      30 - 35
      36 - 41
      42 - 47
      48 - 53
      54 - 59
      60 - 65
      66 - 71
      72 - 77
      No. of persons
      13
      7
      16
      20
      7
      12
      18
      8
  • (i)
    1731

    34
    kg
  • (ii)
    1697

    34
    kg
  • (iii)
    1665

    34
    kg
  • (iv)
    1663

    34
    kg
  • (v)
    832

    17
    kg
Question 17
17.
    • Heights of 14 plants (in cm) are given below. Find the median height.
      • 75
      • 85
      • 75
      • 61
      • 51
      • 84
      • 57
      • 86
      • 88
      • 94
      • 88
      • 92
      • 53
      • 85
  • (i)
    173

    2
    cm
  • (ii)
    85
    cm
  • (iii)
    169

    2
    cm
  • (iv)
    171

    2
    cm
Question 18
18.
    • Find the cumulative frequency of class
    • 77
      -
      83
    • .
    • Class-Interval
      47 - 53
      53 - 59
      59 - 65
      65 - 71
      71 - 77
      77 - 83
      83 - 89
      89 - 95
      Frequency
      12
      12
      5
      16
      13
      16
      20
      13
  • (i)
    77
  • (ii)
    73
  • (iii)
    74
  • (iv)
    75
  • (v)
    71
Question 19
19.
    • The following table shows the weights of
    • 81
    • persons in a group.
    • Find the
    • median weight.
    • Weight (in kg)
      30 - 35
      36 - 41
      42 - 47
      48 - 53
      54 - 59
      60 - 65
      66 - 71
      72 - 77
      No. of persons
      7
      9
      14
      8
      7
      20
      10
      6
  • (i)
    807

    14
    kg
  • (ii)
    793

    14
    kg
  • (iii)
    781

    14
    kg
  • (iv)
    390

    7
    kg
  • (v)
    779

    14
    kg
Question 20
20.
    • If the sum of the following frequency distribution is
    • 25
    • ,
    • find the value of 'x'.
    • Value
      Frequency
      2
      2
      3
      1
      4
      x
      5
      4
      6
      5
      7
      1
      8
      2
      9
      3
      10
      2
      11
      4
  • (i)
    -2
  • (ii)
    1
  • (iii)
    0
  • (iv)
    4
  • (v)
    2
Question 21
21.
    • The following table shows the weights of
    • 60
    • persons in a group.
    • Find the
    • median weight.
    • Weight (in kg)
      10 - 15
      15 - 20
      20 - 25
      25 - 30
      30 - 35
      No. of persons
      16
      18
      5
      11
      10
  • (i)
    179

    9
    kg
  • (ii)
    172

    9
    kg
  • (iii)
    19
    kg
  • (iv)
    170

    9
    kg
  • (v)
    188

    9
    kg
Question 22
22.
    • The marks obtained by 12 students in a test are given below. Find their median marks.
      • 34
      • 2
      • 8
      • 38
      • 19
      • 35
      • 26
      • 12
      • 27
      • 11
      • 4
      • 29
  • (i)
    89

    4
  • (ii)
    45

    2
  • (iii)
    23
  • (iv)
    43

    2
  • (v)
    47

    2
Question 23
23.
Find the median of the first 15 odd numbers.
  • (i)
    12
  • (ii)
    16
  • (iii)
    17
  • (iv)
    15
  • (v)
    14
Question 24
24.
The mean and median of a uni-modal grouped data are 62 and 34 respectively. Find the mode of the data.
  • (i)
    120
  • (ii)
    118
  • (iii)
    116
  • (iv)
    119
  • (v)
    117
Question 25
25.
    • Heights of 42 students are given below. Find the interquartile.
    • Height (in cm)
      125
      127
      131
      139
      143
      144
      159
      163
      164
      165
      174
      No. of students
      2
      1
      4
      5
      6
      5
      5
      4
      1
      3
      6
  • (i)
    26
  • (ii)
    25
  • (iii)
    23
  • (iv)
    22
  • (v)
    24
    Assignment Key

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