EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Median, Quartiles and Mode
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • The weights of
    • 96
    • persons in a group are shown below.
    • Find the mode
    • weight
    • .
  • (i)
    43.41 kg
  • (ii)
    45.91 kg
  • (iii)
    50.91 kg
  • (iv)
    40.91 kg
  • (v)
    48.41 kg
Question 2
2.
    • The following table shows the weights of
    • 90
    • persons in a group.
    • Find the
    • mode weight.
    • Weight (in kg)
      40 - 47
      47 - 54
      54 - 61
      61 - 68
      68 - 75
      75 - 82
      82 - 89
      No. of persons
      6
      13
      14
      14
      15
      18
      10
  • (i)
    868

    11
    kg
  • (ii)
    77
    kg
  • (iii)
    857

    11
    kg
  • (iv)
    846

    11
    kg
  • (v)
    848

    11
    kg
Question 3
3.
    • A histogram with data is given below.
    • Find the mode
    • .
  • (i)
    45.20
  • (ii)
    41.45
  • (iii)
    52.70
  • (iv)
    37.70
  • (v)
    48.95
Question 4
4.
    • The daily wages of
    • 106
    • workers in a factory are given below.
    • Find the mode
    • wage
    • .
  • (i)
    ₹307.27
  • (ii)
    ₹302.27
  • (iii)
    ₹304.77
  • (iv)
    ₹312.27
  • (v)
    ₹309.77
Question 5
5.
    • The marks obtained by 11 students in a test are given below. Find their median marks.
      • 43
      • 28
      • 42
      • 24
      • 2
      • 21
      • 43
      • 12
      • 21
      • 4
      • 40
  • (i)
    25
  • (ii)
    24
  • (iii)
    21
  • (iv)
    23
  • (v)
    26
Question 6
6.
    • Heights of 10 plants (in cm) are given below. Find the median height.
      • 69
      • 55
      • 99
      • 97
      • 75
      • 57
      • 80
      • 74
      • 80
      • 74
  • (i)
    149

    2
    cm
  • (ii)
    151

    2
    cm
  • (iii)
    75
    cm
  • (iv)
    153

    2
    cm
Question 7
7.
    • The histogram given below represents the marks obtained by some candidates in an examination.
    • Using data in the diagram, calculate the
    • median
    • marks.
  • (i)
    74.28
  • (ii)
    72.28
  • (iii)
    75.28
  • (iv)
    73.28
  • (v)
    71.28
Question 8
8.
    • Weights of 11 students (in kg) are given below. Find the mode weight.
      • 54
      • 51
      • 48
      • 58
      • 46
      • 57
      • 58
      • 42
      • 56
      • 58
      • 58
  • (i)
    58
    kg
  • (ii)
    56
    kg
  • (iii)
    60
    kg
  • (iv)
    59
    kg
  • (v)
    57
    kg
Question 9
9.
The marks obtained by certain students in a mathematics examination are given below. Estimate the median.
  • (i)
    41.25
  • (ii)
    36.25
  • (iii)
    46.25
  • (iv)
    38.75
  • (v)
    43.75
Question 10
10.
    • In a class test, the marks obtained by
    • 10
    • students are
      • 12
      • 30
      • 41
      • 41
      • 29
      • 44
      • 42
      • 47
      • 42
      • 12
    • Find the inter quartile range.
  • (i)
    20
    1

    2
  • (ii)
    34
  • (iii)
    42
  • (iv)
    21
    1

    2
  • (v)
    35
Question 11
11.
    • The marks obtained by
    • 78
    • students in an examination are shown in the given ogive.
    • Find the number of students who obtained less than
    • 60
    • marks in the examination.
  • (i)
    42
  • (ii)
    44
  • (iii)
    37
  • (iv)
    32
  • (v)
    30
Question 12
12.
    • Scores of 67 students are shown in the given ogive.
    • Find the number of
    • students
    • whose score is
    • less
    • than
    • 41
  • (i)
    25
  • (ii)
    29
  • (iii)
    30
  • (iv)
    24
  • (v)
    27
Question 13
13.
    • Heights of 11 plants (in cm) are given below. Find the mode height.
      • 82
      • 98
      • 89
      • 100
      • 65
      • 85
      • 83
      • 63
      • 77
      • 60
      • 60
  • (i)
    58
    cm
  • (ii)
    61
    cm
  • (iii)
    62
    cm
  • (iv)
    59
    cm
  • (v)
    60
    cm
Question 14
14.
    • Temperatures of 10 days (in °C) are given below. Find the median temperature.
      • 25
      • 26
      • 26
      • 29
      • 30
      • 33
      • 26
      • 31
      • 34
      • 30
  • (i)
    63

    2
    °C
  • (ii)
    30
    °C
  • (iii)
    61

    2
    °C
  • (iv)
    59

    2
    °C
Question 15
15.
    • Ages of 13 students (in years) are given below. Find the mode age.
      • 13
      • 13
      • 15
      • 13
      • 11
      • 12
      • 11
      • 10
      • 14
      • 11
      • 12
      • 13
      • 13
  • (i)
    12
    years
  • (ii)
    15
    years
  • (iii)
    14
    years
  • (iv)
    13
    years
  • (v)
    11
    years
Question 16
16.
The marks obtained by certain students in a mathematics examination are given below. Estimate the lower quartile.
  • (i)
    41.46
  • (ii)
    43.96
  • (iii)
    33.96
  • (iv)
    36.46
  • (v)
    38.96
Question 17
17.
    • If the sum of the following frequency distribution is
    • 27
    • ,
    • find the value of 'x'.
    • Value
      Frequency
      2
      3
      3
      3
      4
      4
      5
      1
      6
      2
      7
      4
      8
      2
      9
      x
      10
      3
      11
      1
  • (i)
    1
  • (ii)
    4
  • (iii)
    5
  • (iv)
    7
  • (v)
    3
Question 18
18.
    • The daily wages of
    • 110
    • workers in a factory are given below.
    • Find the
    • mode wage.
    • Wage (in rupees)
      30 - 39
      40 - 49
      50 - 59
      60 - 69
      70 - 79
      80 - 89
      No. of workers
      19
      9
      19
      29
      14
      20
  • (i)
    ₹
    64.00
  • (ii)
    ₹
    65.50
  • (iii)
    ₹
    63.50
  • (iv)
    ₹
    64.50
Question 19
19.
    • Ages of 26 students are given below. Find the mode.
    • Age (in years)
      10
      12
      13
      14
      15
      No. of students
      4
      4
      7
      6
      5
  • (i)
    11
    years
  • (ii)
    12
    years
  • (iii)
    14
    years
  • (iv)
    15
    years
  • (v)
    13
    years
Question 20
20.
    • Heights of 49 plants (in cm) are shown in the given ogive.
    • Find the number of
    • plants
    • whose height is
    • more
    • than
    • 100 cm
  • (i)
    21
  • (ii)
    20
  • (iii)
    18
  • (iv)
    15
  • (v)
    16
Question 21
21.
    • Rainfall of 15 days (in mm) are given below. Find the median rainfall.
      • 8
      • 9
      • 8
      • 15
      • 7
      • 11
      • 10
      • 8
      • 11
      • 9
      • 9
      • 11
      • 8
      • 10
      • 15
  • (i)
    10
    mm
  • (ii)
    9
    mm
  • (iii)
    11
    mm
  • (iv)
    8
    mm
  • (v)
    7
    mm
Question 22
22.
    • Temperatures of 16 days (in °C) are given below. Find the mode temperature.
      • 28
      • 27
      • 32
      • 32
      • 25
      • 35
      • 33
      • 27
      • 27
      • 30
      • 35
      • 34
      • 33
      • 29
      • 33
      • 27
  • (i)
    28
    °C
  • (ii)
    26
    °C
  • (iii)
    27
    °C
  • (iv)
    29
    °C
  • (v)
    25
    °C
Question 23
23.
    • Daily wages of 69 labourers (in ₹) are shown in the given ogive.
    • Find the number of
    • labourers
    • whose wage is
    • less
    • than
    • ₹309
  • (i)
    59
  • (ii)
    57
  • (iii)
    61
  • (iv)
    56
  • (v)
    62
Question 24
24.
    • The scores obtained by 15 students in a test are given below. Find the mode.
      • 4
      • 18
      • 19
      • 14
      • 15
      • 3
      • 4
      • 17
      • 7
      • 4
      • 2
      • 25
      • 24
      • 28
      • 23
  • (i)
    4
  • (ii)
    2
  • (iii)
    28
  • (iv)
    26
  • (v)
    14
    1

    2
Question 25
25.
The mean and median of a uni-modal grouped data are 42 and 40 respectively. Find the mode of the data.
  • (i)
    45
  • (ii)
    46
  • (iii)
    47
  • (iv)
    48
  • (v)
    44
    Assignment Key

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