EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Mean and Median of Ungrouped Data
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
    • The mean of
    • 5
    • numbers is
    • 12
    • .
    • Upon
    • excluding
    • one number,
    • the mean becomes
    • 10
      1

      4
    • .
    • Find the
    • excluded
    • number.
  • (i)
    21
  • (ii)
    16
  • (iii)
    20
  • (iv)
    18
  • (v)
    19
Question 2
2.
Find the median of all the factors of 30.
  • (i)
    11

    2
  • (ii)
    21

    4
  • (iii)
    6
  • (iv)
    9

    2
  • (v)
    13

    2
Question 3
3.
    • If the mean of
    • 5
    • samples is
    • 22
      3

      5
    • ,
    • what is the new mean if
    • 3
    • is subtracted from each number.
  • (i)
    98

    5
  • (ii)
    20
  • (iii)
    96

    5
  • (iv)
    136

    7
Question 4
4.
    • Rainfall of 12 days (in mm) are given below. Find the median rainfall.
      • 13
      • 9
      • 8
      • 5
      • 9
      • 12
      • 14
      • 11
      • 10
      • 11
      • 14
      • 13
  • (i)
    9
    mm
  • (ii)
    13
    mm
  • (iii)
    12
    mm
  • (iv)
    11
    mm
  • (v)
    10
    mm
Question 5
5.
    • Heights of 10 students are given below. Find the mean.
    • Height (in cm)
      129
      131
      148
      159
      171
      174
      No. of students
      3
      1
      1
      3
      1
      1
  • (i)
    746

    5
    cm
  • (ii)
    749

    5
    cm
  • (iii)
    744

    5
    cm
  • (iv)
    149
    cm
  • (v)
    754

    5
    cm
Question 6
6.
    • Wages of 10 labourers are given below. Find the median.
    • Wage (in rupees)
      308
      402
      411
      460
      487
      494
      496
      No. of labourers
      1
      2
      3
      1
      1
      1
      1
  • (i)
    413.00
  • (ii)
    409.00
  • (iii)
    410.00
  • (iv)
    411.00
  • (v)
    412.00
Question 7
7.
    • Given the mean of
    • 15
    • samples as
    • 13
      7

      15
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 19
    • ?
  • (i)
    249

    17
  • (ii)
    193

    13
  • (iii)
    223

    15
  • (iv)
    73

    5
  • (v)
    221

    15
Question 8
8.
    • Heights of 15 students are given below. Find the median.
    • Height (in cm)
      145
      146
      156
      167
      168
      172
      173
      No. of students
      4
      2
      1
      2
      1
      1
      4
  • (i)
    165
    cm
  • (ii)
    169
    cm
  • (iii)
    166
    cm
  • (iv)
    167
    cm
  • (v)
    168
    cm
Question 9
9.
Find the mean of all prime numbers between 20 and 80.
  • (i)
    50
  • (ii)
    49
  • (iii)
    51
  • (iv)
    53
  • (v)
    52
Question 10
10.
    • The marks obtained by 10 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
      • 1
      • 50
      • 38
      • 14
      • 25
      • 31
      • 23
      • 38
      • 47
      • 5
  • (i)
    274

    5
  • (ii)
    380

    7
  • (iii)
    272

    5
  • (iv)
    54
  • (v)
    164

    3
Question 11
11.
    • Rainfall of 15 days are given below. Find the mean.
    • Rainfall (in mm)
      5
      8
      9
      10
      11
      12
      13
      14
      15
      No. of days
      2
      1
      1
      1
      1
      2
      5
      1
      1
  • (i)
    196

    15
    mm
  • (ii)
    181

    15
    mm
  • (iii)
    167

    15
    mm
  • (iv)
    56

    5
    mm
  • (v)
    166

    15
    mm
Question 12
12.
    • Heights of 11 plants (in cm) are given below. Find the median height.
      • 95
      • 86
      • 94
      • 57
      • 91
      • 55
      • 88
      • 68
      • 57
      • 97
      • 64
  • (i)
    86
    cm
  • (ii)
    85
    cm
  • (iii)
    84
    cm
  • (iv)
    87
    cm
  • (v)
    88
    cm
Question 13
13.
    • Weights of 30 students are given below. Find the mean.
    • Weight (in kg)
      40
      43
      45
      53
      55
      56
      59
      No. of students
      6
      2
      2
      5
      2
      6
      7
  • (i)
    52
    kg
  • (ii)
    154

    3
    kg
  • (iii)
    155

    3
    kg
  • (iv)
    157

    3
    kg
  • (v)
    160

    3
    kg
Question 14
14.
Find the mean of first 6 multiples of 7.
  • (i)
    25
  • (ii)
    49

    2
  • (iii)
    97

    4
  • (iv)
    51

    2
  • (v)
    47

    2
Question 15
15.
Find the median of all prime numbers between 50 and 90.
  • (i)
    70
  • (ii)
    69
  • (iii)
    74
  • (iv)
    72
  • (v)
    71
Question 16
16.
    • Weights of 13 students (in kg) are given below. Find the mean weight.
      • 60
      • 43
      • 47
      • 58
      • 60
      • 49
      • 44
      • 55
      • 50
      • 41
      • 51
      • 58
      • 48
  • (i)
    665

    13
    kg
  • (ii)
    690

    13
    kg
  • (iii)
    677

    13
    kg
  • (iv)
    664

    13
    kg
  • (v)
    666

    13
    kg
Question 17
17.
    • If the sum of the following frequency distribution is
    • 35
    • ,
    • find the value of 'x'.
    • Value
      Frequency
      6
      5
      7
      x
      8
      10
      9
      6
      10
      4
      11
      7
  • (i)
    1
  • (ii)
    2
  • (iii)
    5
  • (iv)
    3
  • (v)
    4
Question 18
18.
    • Scores of 15 students are given below. Find the mean.
    • Score
      72
      74
      78
      85
      86
      89
      No. of students
      1
      4
      2
      1
      3
      4
  • (i)
    408

    5
  • (ii)
    1238

    15
  • (iii)
    245

    3
  • (iv)
    1253

    15
  • (v)
    1223

    15
Question 19
19.
    • The marks obtained by 15 students in a test are given below. Find the mean of their marks when the marks of each student is decreased by 10.
      • 16
      • 8
      • 8
      • 32
      • 5
      • 41
      • 15
      • 7
      • 23
      • 26
      • 20
      • 35
      • 29
      • 24
      • 19
  • (i)
    52

    5
  • (ii)
    178

    17
  • (iii)
    138

    13
  • (iv)
    32

    3
  • (v)
    158

    15
Question 20
20.
Find the mean of the first 15 odd numbers.
  • (i)
    18
  • (ii)
    14
  • (iii)
    15
  • (iv)
    16
  • (v)
    13
Question 21
21.
    • Ages of 14 students (in years) are given below. Find the median age.
      • 11
      • 13
      • 11
      • 15
      • 11
      • 13
      • 15
      • 15
      • 12
      • 11
      • 10
      • 15
      • 11
      • 10
  • (i)
    27

    2
    years
  • (ii)
    25

    2
    years
  • (iii)
    23

    2
    years
  • (iv)
    12
    years
Question 22
22.
    • Temperatures of 10 days (in °C) are given below. Find the median temperature.
      • 30
      • 34
      • 35
      • 35
      • 34
      • 30
      • 34
      • 32
      • 27
      • 27
  • (i)
    34
    °C
  • (ii)
    33
    °C
  • (iii)
    32
    °C
  • (iv)
    31
    °C
  • (v)
    35
    °C
Question 23
23.
    • Ages of 30 students are given below. Find the median.
    • Age (in years)
      10
      11
      12
      13
      14
      15
      No. of students
      7
      10
      4
      3
      3
      3
  • (i)
    9
    years
  • (ii)
    13
    years
  • (iii)
    10
    years
  • (iv)
    12
    years
  • (v)
    11
    years
Question 24
24.
    • Given the mean of
    • 12
    • samples as
    • 6
    • ,
    • what is the new mean if two samples
    • 9
    • and
    • 3
    • are removed ?
  • (i)
    5
  • (ii)
    7
  • (iii)
    8
  • (iv)
    6
  • (v)
    3
Question 25
25.
    • The scores obtained by 10 students in a test are given below. Find the median.
      • 11
      • 8
      • 12
      • 9
      • 12
      • 9
      • 1
      • 10
      • 14
      • 17
  • (i)
    16
  • (ii)
    17
  • (iii)
    10
    3

    10
  • (iv)
    1
  • (v)
    10
    1

    2
    Assignment Key

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