EduSahara™ Assignment
Name : Median of Grouped Data
Chapter : Median, Quartiles and Mode
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Heights of 30 students are given below. Find the median.
    • Height (in cm)
      125
      128
      132
      136
      140
      146
      148
      162
      165
      169
      171
      No. of students
      1
      2
      5
      1
      1
      2
      9
      2
      2
      2
      3
  • (i)
    148
    cm
  • (ii)
    146
    cm
  • (iii)
    147
    cm
  • (iv)
    150
    cm
  • (v)
    149
    cm
Question 2
2.
    • Heights of 25 plants are given below. Find the median.
    • Height (in cm)
      69
      74
      76
      77
      79
      84
      85
      95
      96
      99
      No. of plants
      4
      2
      1
      5
      3
      3
      3
      1
      2
      1
  • (i)
    77
    cm
  • (ii)
    81
    cm
  • (iii)
    80
    cm
  • (iv)
    78
    cm
  • (v)
    79
    cm
Question 3
3.
    • Ages of 15 students are given below. Find the median.
    • Age (in years)
      10
      11
      12
      14
      15
      No. of students
      2
      2
      4
      1
      6
  • (i)
    10
    years
  • (ii)
    12
    years
  • (iii)
    11
    years
  • (iv)
    13
    years
  • (v)
    14
    years
Question 4
4.
    • Scores of 30 students are given below. Find the median.
    • Score
      72
      73
      76
      77
      79
      82
      83
      88
      No. of students
      4
      5
      1
      6
      3
      3
      5
      3
  • (i)
    77
  • (ii)
    76
  • (iii)
    79
  • (iv)
    75
  • (v)
    78
Question 5
5.
    • Rainfall of 25 days are given below. Find the median.
    • Rainfall (in mm)
      5
      6
      7
      9
      10
      11
      12
      13
      15
      No. of days
      3
      3
      3
      1
      5
      4
      3
      1
      2
  • (i)
    12
    mm
  • (ii)
    8
    mm
  • (iii)
    9
    mm
  • (iv)
    10
    mm
  • (v)
    11
    mm
Question 6
6.
    • Temperatures of 30 days are given below. Find the median.
    • Temperature (in degree C)
      25
      27
      28
      29
      30
      31
      32
      34
      35
      No. of days
      3
      4
      2
      6
      3
      4
      1
      2
      5
  • (i)
    59

    2
    °C
  • (ii)
    61

    2
    °C
  • (iii)
    63

    2
    °C
  • (iv)
    30
    °C
Question 7
7.
    • Weights of 25 students are given below. Find the median.
    • Weight (in kg)
      42
      44
      49
      54
      55
      59
      60
      No. of students
      1
      6
      3
      2
      6
      4
      3
  • (i)
    53
    kg
  • (ii)
    57
    kg
  • (iii)
    54
    kg
  • (iv)
    56
    kg
  • (v)
    55
    kg
Question 8
8.
    • Wages of 25 labourers are given below. Find the median.
    • Wage (in rupees)
      320
      404
      407
      454
      460
      469
      486
      497
      No. of labourers
      4
      4
      6
      5
      2
      1
      1
      2
  • (i)
    406.00
  • (ii)
    407.00
  • (iii)
    408.00
  • (iv)
    409.00
  • (v)
    405.00
Question 9
9.
    • The histogram given below represents the marks obtained by some candidates in an examination.
    • Using data in the diagram, calculate the
    • median
    • marks.
  • (i)
    58.4
  • (ii)
    55.4
  • (iii)
    56.4
  • (iv)
    54.4
  • (v)
    57.4
Question 10
10.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Class-Interval
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    Frequency
    3
    11
    15
    5
    13
    20
    10
  • (ii)
    Class-Interval
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    Frequency
    11
    2
    20
    12
    18
    15
    13
  • (iii)
    Class-Interval
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    Frequency
    4
    4
    14
    8
    10
    16
    14
  • (iv)
    Class-Interval
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    Frequency
    4
    20
    2
    7
    6
    8
    1
  • (v)
    Class-Interval
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    Frequency
    5
    4
    6
    5
    12
    5
    3
Question 11
11.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Class-Interval
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    Frequency
    12
    18
    10
    5
    17
    11
  • (ii)
    Class-Interval
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    Frequency
    8
    5
    10
    17
    18
    14
  • (iii)
    Class-Interval
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    Frequency
    12
    10
    7
    12
    11
    13
  • (iv)
    Class-Interval
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    Frequency
    17
    10
    5
    11
    13
    19
  • (v)
    Class-Interval
    10 - 18
    18 - 26
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    Frequency
    6
    7
    3
    10
    6
    9
    Assignment Key

  •  1) (i)
  •  2) (v)
  •  3) (ii)
  •  4) (i)
  •  5) (iv)
  •  6) (i)
  •  7) (v)
  •  8) (ii)
  •  9) (iii)
  •  10) (v)
  •  11) (v)