EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Median, Quartiles and Mode
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
The following ogive shows the daily wages of workers in a factory. Estimate the median.
  • (i)
    ₹113.50
  • (ii)
    ₹117.25
  • (iii)
    ₹114.75
  • (iv)
    ₹116.00
  • (v)
    ₹118.50
Question 2
2.
    • The scores obtained by 8 students in a test are given below. Find the median.
      • 17
      • 3
      • 12
      • 17
      • 13
      • 6
      • 10
      • 6
  • (i)
    3
  • (ii)
    11
  • (iii)
    14
  • (iv)
    6
  • (v)
    10
    1

    2
Question 3
3.
    • The following table shows the weights of
    • 87
    • persons in a group.
    • Find the
    • mode weight.
    • Weight (in kg)
      40 - 49
      50 - 59
      60 - 69
      70 - 79
      80 - 89
      90 - 99
      No. of persons
      19
      10
      20
      20
      5
      13
  • (i)
    141

    2
    kg
  • (ii)
    139

    2
    kg
  • (iii)
    70
    kg
  • (iv)
    143

    2
    kg
Question 4
4.
    • Weights of 67 students (in kg) are shown in the given ogive.
    • Find the number of
    • students
    • whose weight is
    • more
    • than
    • 62 kg
  • (i)
    52
  • (ii)
    55
  • (iii)
    49
  • (iv)
    54
  • (v)
    50
Question 5
5.
    • Daily wages of 46 labourers (in ₹) are shown in the given ogive.
    • Find the number of
    • labourers
    • whose wage is
    • less
    • than
    • ₹222
  • (i)
    29
  • (ii)
    34
  • (iii)
    31
  • (iv)
    28
  • (v)
    33
Question 6
6.
    • Scores of 91 students are shown in the given ogive.
    • Find the number of
    • students
    • whose score is
    • more
    • than
    • 34
  • (i)
    57
  • (ii)
    54
  • (iii)
    59
  • (iv)
    60
  • (v)
    55
Question 7
7.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the lower quartile.
  • (i)
    168.57 cm
  • (ii)
    171.07 cm
  • (iii)
    166.07 cm
  • (iv)
    176.07 cm
  • (v)
    173.57 cm
Question 8
8.
Find the median of all prime numbers between 50 and 100.
  • (i)
    74
  • (ii)
    71
  • (iii)
    69
  • (iv)
    72
  • (v)
    73
Question 9
9.
    • Rainfall of 12 days (in mm) are given below. Find the mode rainfall.
      • 11
      • 14
      • 11
      • 5
      • 10
      • 7
      • 14
      • 13
      • 15
      • 5
      • 10
      • 5
  • (i)
    6
    mm
  • (ii)
    5
    mm
  • (iii)
    4
    mm
  • (iv)
    7
    mm
  • (v)
    3
    mm
Question 10
10.
    • The histogram given below represents the marks obtained by some candidates in an examination.
    • Using data in the diagram, calculate the
    • median
    • marks.
  • (i)
    60.6
  • (ii)
    61.6
  • (iii)
    62.6
  • (iv)
    63.6
  • (v)
    64.6
Question 11
11.
The following ogive shows the daily wages of workers in a factory. Estimate the upper quartile.
  • (i)
    ₹250.75
  • (ii)
    ₹255.75
  • (iii)
    ₹248.25
  • (iv)
    ₹245.75
  • (v)
    ₹253.25
Question 12
12.
The mean and median of a uni-modal grouped data are 68 and 55 respectively. Find the mode of the data.
  • (i)
    92
  • (ii)
    95
  • (iii)
    94
  • (iv)
    93
  • (v)
    96
Question 13
13.
    • Weights of 15 students (in kg) are given below. Find the median weight.
      • 60
      • 40
      • 60
      • 40
      • 55
      • 60
      • 52
      • 42
      • 53
      • 40
      • 56
      • 41
      • 57
      • 53
      • 60
  • (i)
    53
    kg
  • (ii)
    55
    kg
  • (iii)
    54
    kg
  • (iv)
    52
    kg
  • (v)
    51
    kg
Question 14
14.
Find the median of all the factors of 20.
  • (i)
    9

    2
  • (ii)
    11

    2
  • (iii)
    7

    2
  • (iv)
    17

    4
  • (v)
    5
Question 15
15.
    • Temperatures of 25 days are given below. Find the median.
    • Temperature (in degree C)
      25
      26
      27
      28
      29
      30
      31
      32
      33
      35
      No. of days
      1
      2
      2
      1
      2
      5
      3
      3
      5
      1
  • (i)
    31
    °C
  • (ii)
    28
    °C
  • (iii)
    30
    °C
  • (iv)
    29
    °C
  • (v)
    32
    °C
Question 16
16.
    • The histogram given below represents the marks obtained by some candidates in an examination.
    • Using data in the diagram, calculate the
    • mode
    • marks.
  • (i)
    61
  • (ii)
    60
  • (iii)
    62
  • (iv)
    59
  • (v)
    58
Question 17
17.
Greater than cumulative curves are drawn using
  • (i)
    upper boundaries of classes and less than cumulative frequencies
  • (ii)
    lower boundaries of classes and greater than cumulative frequencies
  • (iii)
    upper boundaries of classes and greater than cumulative frequencies
  • (iv)
    mid values of classes and greater than cumulative frequencies
Question 18
18.
    • A frequency distribution table is given below.
    • Find the
    • mode .
    • Class-Interval
      2 - 11
      11 - 20
      20 - 29
      29 - 38
      38 - 47
      47 - 56
      56 - 65
      65 - 74
      Frequency
      23
      13
      50
      4
      35
      31
      38
      45
  • (i)
    2076

    83
  • (ii)
    1995

    83
  • (iii)
    1994

    83
  • (iv)
    2159

    83
  • (v)
    1993

    83
Question 19
19.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the median.
  • (i)
    154.11 cm
  • (ii)
    151.61 cm
  • (iii)
    155.36 cm
  • (iv)
    156.61 cm
  • (v)
    152.86 cm
Question 20
20.
    • In a class test, the marks obtained by
    • 12
    • students are
      • 43
      • 21
      • 35
      • 30
      • 31
      • 42
      • 45
      • 38
      • 42
      • 39
      • 16
      • 38
    • Find the inter quartile range.
  • (i)
    29
  • (ii)
    35
  • (iii)
    6
  • (iv)
    12
  • (v)
    30
Question 21
21.
    • A histogram with data is given below.
    • Find the mode
    • .
  • (i)
    33.61
  • (ii)
    48.61
  • (iii)
    44.86
  • (iv)
    37.36
  • (v)
    41.11
Question 22
22.
    • The following histogram gives
    • the monthly consumption of electricity of
    • 74
    • consumers in a locality.
    • Find the mode
    • units
    • .
  • (i)
    109.18 units
  • (ii)
    111.68 units
  • (iii)
    106.68 units
  • (iv)
    114.18 units
  • (v)
    116.68 units
Question 23
23.
    • The daily wages of
    • 108
    • workers in a factory are given below.
    • Find the modal class
  • (i)
    230
    -
    245
  • (ii)
    215
    -
    230
  • (iii)
    245
    -
    260
  • (iv)
    200
    -
    215
  • (v)
    290
    -
    305
Question 24
24.
    • A histogram diagram with data is given below.
    • Find the modal class
  • (i)
    96
    -
    116
  • (ii)
    16
    -
    36
  • (iii)
    56
    -
    76
  • (iv)
    76
    -
    96
  • (v)
    36
    -
    56
Question 25
25.
    • The daily wages of
    • 122
    • workers in a factory are given below.
    • Find the
    • median wage.
    • Wage (in rupees)
      20 - 27
      28 - 35
      36 - 43
      44 - 51
      52 - 59
      60 - 67
      68 - 75
      No. of workers
      22
      18
      15
      15
      22
      13
      17
  • (i)
    47.70
  • (ii)
    46.80
  • (iii)
    48.70
  • (iv)
    46.90
  • (v)
    46.70
    Assignment Key

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