ICSE Board Practice

ICSE Grade X - Median, Quartiles and Mode
Question 1
1.
    • The marks obtained by
    • 60
    • students in an examination are shown in the given ogive.
    • Find the number of students who obtained
    • more
    • than
    • 5
    • marks in examination.
  • 59
  • 61
  • 62
  • 60
  • 58
Question 2
2.
    • Find the cumulative frequency of class
    • 85
      -
      94
    • .
    • Class-Interval
      45 - 54
      55 - 64
      65 - 74
      75 - 84
      85 - 94
      95 - 104
      105 - 114
      Frequency
      24
      15
      13
      15
      9
      10
      10
  • 79
  • 73
  • 76
  • 75
  • 77
Question 3
3.
    • Ages of 15 students (in years) are given below. Find the mode age.
      • 11
      • 12
      • 12
      • 10
      • 13
      • 12
      • 13
      • 10
      • 12
      • 10
      • 11
      • 14
      • 12
      • 15
      • 12
  • 13
    years
  • 10
    years
  • 14
    years
  • 12
    years
  • 11
    years
Question 4
4.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the median.
  • 36.08 years
  • 33.58 years
  • 34.83 years
  • 37.33 years
  • 32.33 years
Question 5
5.
    • Weights of 67 students (in kg) are shown in the given ogive.
    • Find the number of
    • students
    • whose weight is
    • less
    • than
    • 70 kg
  • 14
  • 18
  • 19
  • 13
  • 16
Question 6
6.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the lower quartile.
  • 159.29 cm
  • 166.79 cm
  • 164.29 cm
  • 161.79 cm
  • 156.79 cm
Question 7
7.
    • Heights of 10 students are given below. Find the median.
    • Height (in cm)
      128
      133
      135
      142
      153
      167
      No. of students
      1
      2
      2
      3
      1
      1
  • 277

    2
    cm
  • 279

    2
    cm
  • 139
    cm
  • 281

    2
    cm
Question 8
8.
The following ogive shows the number of casualties of different age groups due to accidents in a city. Estimate the upper quartile.
  • 62.50 years
  • 67.50 years
  • 57.50 years
  • 60.00 years
  • 65.00 years
Question 9
9.
    • The following frequency distribution table gives
    • the monthly consumption of electricity of
    • 103
    • consumers in a locality.
    • Find the
    • mode units.
    • Monthly consumption (in units)
      59 - 69
      69 - 79
      79 - 89
      89 - 99
      99 - 109
      109 - 119
      No. of consumers
      25
      22
      17
      15
      12
      12
  • 965

    14
    units
  • 979

    14
    units
  • 953

    14
    units
  • 68
    units
  • 951

    14
    units
Question 10
10.
    • The following table shows the weights of
    • 71
    • persons in a group.
    • Find the
    • median weight.
    • Weight (in kg)
      50 - 59
      59 - 68
      68 - 77
      77 - 86
      86 - 95
      95 - 104
      104 - 113
      No. of persons
      8
      8
      15
      8
      15
      11
      6
  • 1345

    16
    kg
  • 1313

    16
    kg
  • 1329

    16
    kg
  • 1315

    16
    kg
  • 657

    8
    kg