EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Mean and Median of Ungrouped Data
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
    • If the mean of
    • 8
    • samples is
    • 21
      1

      4
    • ,
    • what is the new mean if
    • 10
    • is subtracted from each number.
  • (i)
    43

    4
  • (ii)
    23

    2
  • (iii)
    47

    4
  • (iv)
    67

    6
  • (v)
    45

    4
Question 2
2.
    • If the mean of
      • 5
      • 4
      • 8
      • 3
    • x
      • 6
      • 7
      • 9
    • is
    • 5
      3

      8
    • ,
    • find the value of x.
  • (i)
    -2
  • (ii)
    1
  • (iii)
    3
  • (iv)
    2
  • (v)
    0
Question 3
3.
    • Daily wages of 15 labourers (in ₹) are given below. Find the mean wage.
      • 387
      • 436
      • 450
      • 425
      • 366
      • 437
      • 360
      • 464
      • 317
      • 449
      • 433
      • 331
      • 484
      • 380
      • 380
  • (i)
    407.00
  • (ii)
    406.60
  • (iii)
    407.60
  • (iv)
    406.80
  • (v)
    408.60
Question 4
4.
    • The marks obtained by 12 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 3.
      • 28
      • 39
      • 36
      • 7
      • 5
      • 42
      • 25
      • 18
      • 28
      • 27
      • 27
      • 25
  • (i)
    57

    2
  • (ii)
    115

    4
  • (iii)
    343

    12
  • (iv)
    287

    10
  • (v)
    341

    12
Question 5
5.
Find the median of all the factors of 40.
  • (i)
    13

    2
  • (ii)
    25

    4
  • (iii)
    15

    2
  • (iv)
    11

    2
  • (v)
    7
Question 6
6.
    • Wages of 30 labourers are given below. Find the mean.
    • Wage (in rupees)
      340
      342
      359
      379
      391
      416
      431
      No. of labourers
      5
      6
      5
      2
      6
      3
      3
  • (i)
    373.20
  • (ii)
    374.07
  • (iii)
    375.07
  • (iv)
    373.07
  • (v)
    373.13
Question 7
7.
    • Given the mean of
    • 10
    • samples as
    • 5
      3

      10
    • ,
    • what is the new mean if two samples
    • 8
    • and
    • 10
    • are added ?
  • (i)
    23

    4
  • (ii)
    61

    10
  • (iii)
    71

    12
  • (iv)
    73

    12
  • (v)
    81

    14
Question 8
8.
    • Heights of 10 students (in cm) are given below. Find the median height.
      • 134
      • 128
      • 169
      • 153
      • 126
      • 172
      • 169
      • 159
      • 151
      • 130
  • (i)
    153
    cm
  • (ii)
    151
    cm
  • (iii)
    154
    cm
  • (iv)
    150
    cm
  • (v)
    152
    cm
Question 9
9.
    • Heights of 10 students (in cm) are given below. Find the mean height.
      • 146
      • 153
      • 155
      • 173
      • 127
      • 142
      • 171
      • 139
      • 163
      • 159
  • (i)
    764

    5
    cm
  • (ii)
    769

    5
    cm
  • (iii)
    774

    5
    cm
  • (iv)
    766

    5
    cm
  • (v)
    153
    cm
Question 10
10.
    • Rainfall of 15 days are given below. Find the mean.
    • Rainfall (in mm)
      5
      8
      9
      10
      12
      13
      14
      15
      No. of days
      1
      2
      5
      1
      1
      3
      1
      1
  • (i)
    57

    5
    mm
  • (ii)
    54

    5
    mm
  • (iii)
    53

    5
    mm
  • (iv)
    52

    5
    mm
  • (v)
    62

    5
    mm
Question 11
11.
    • Wages of 15 labourers are given below. Find the median.
    • Wage (in rupees)
      325
      362
      366
      445
      452
      479
      497
      No. of labourers
      1
      2
      2
      3
      3
      2
      2
  • (i)
    443.00
  • (ii)
    447.00
  • (iii)
    444.00
  • (iv)
    445.00
  • (v)
    446.00
Question 12
12.
    • The mean of
    • 5
    • numbers is
    • 8
    • .
    • Upon
    • adding
    • one number,
    • the mean becomes
    • 9
      1

      6
    • .
    • Find the
    • included
    • number.
  • (i)
    17
  • (ii)
    13
  • (iii)
    15
  • (iv)
    14
  • (v)
    16
Question 13
13.
Find the mean of first 6 multiples of 7.
  • (i)
    47

    2
  • (ii)
    49

    2
  • (iii)
    25
  • (iv)
    97

    4
  • (v)
    51

    2
Question 14
14.
    • The observations of an ungrouped data are
    • x

      1
    • ,
    • x

      2
    • ,
    • x

      3
    • and
    • x

      1
    • <
    • x

      2
    • <
    • x

      3
    • .
    • If the mean and median of the data are
    • 48
    • and
    • 32
    • respectively and
    • x

      3
    • -
    • x

      1
    • =
    • 80
    • ,
    • find
    • x

      1
    • ,
    • x

      2
    • ,
    • x

      3
  • (i)
      • 18
      • ,
      • 32
      • ,
      • 98
  • (ii)
      • 16
      • ,
      • 32
      • ,
      • 96
  • (iii)
      • 32
      • ,
      • 32
      • ,
      • 192
  • (iv)
      • 20
      • ,
      • 32
      • ,
      • 100
Question 15
15.
    • Given the mean of
    • 12
    • samples as
    • 5
      11

      12
    • ,
    • what is the new mean if two samples
    • 2
    • and
    • 10
    • are removed ?
  • (i)
    49

    8
  • (ii)
    57

    10
  • (iii)
    59

    10
  • (iv)
    23

    4
  • (v)
    61

    10
Question 16
16.
    • The marks obtained by 12 students in a test are given below. Find the mean of their marks when the marks of each student is decreased by 9.
      • 44
      • 47
      • 28
      • 46
      • 30
      • 28
      • 5
      • 13
      • 30
      • 33
      • 5
      • 22
  • (i)
    75

    4
  • (ii)
    223

    12
  • (iii)
    221

    12
  • (iv)
    187

    10
  • (v)
    37

    2
Question 17
17.
    • Weights of 10 students are given below. Find the mean.
    • Weight (in kg)
      43
      51
      54
      55
      58
      No. of students
      3
      1
      3
      1
      2
  • (i)
    103

    2
    kg
  • (ii)
    523

    10
    kg
  • (iii)
    533

    10
    kg
  • (iv)
    513

    10
    kg
  • (v)
    257

    5
    kg
Question 18
18.
    • Given the mean of
    • 5
    • samples as
    • 9
      3

      5
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 12
    • ?
  • (i)
    36

    5
  • (ii)
    34

    5
  • (iii)
    22

    3
  • (iv)
    50

    7
  • (v)
    38

    5
Question 19
19.
    • Ages of 15 students (in years) are given below. Find the mean age.
      • 15
      • 14
      • 12
      • 15
      • 12
      • 12
      • 13
      • 10
      • 12
      • 15
      • 14
      • 15
      • 11
      • 14
      • 12
  • (i)
    211

    15
    years
  • (ii)
    66

    5
    years
  • (iii)
    196

    15
    years
  • (iv)
    226

    15
    years
  • (v)
    197

    15
    years
Question 20
20.
    • Scores of 25 students are given below. Find the mean.
    • Score
      74
      77
      78
      80
      81
      84
      85
      87
      88
      No. of students
      1
      2
      3
      3
      3
      1
      3
      3
      6
  • (i)
    2074

    25
  • (ii)
    2073

    25
  • (iii)
    2123

    25
  • (iv)
    2098

    25
  • (v)
    83
Question 21
21.
Find the mean of the first 20 even numbers.
  • (i)
    22
  • (ii)
    18
  • (iii)
    20
  • (iv)
    21
  • (v)
    23
Question 22
22.
Find the mean of all prime numbers between 50 and 80.
  • (i)
    331

    5
  • (ii)
    461

    7
  • (iii)
    463

    7
  • (iv)
    595

    9
  • (v)
    465

    7
Question 23
23.
    • Given the mean of
    • 8
    • samples as
    • 9
      1

      2
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 16
    • ?
  • (i)
    25

    2
  • (ii)
    45

    4
  • (iii)
    21

    2
  • (iv)
    23

    2
  • (v)
    12
Question 24
24.
    • Ages of 30 students are given below. Find the median.
    • Age (in years)
      10
      11
      12
      13
      14
      15
      No. of students
      5
      2
      1
      10
      7
      5
  • (i)
    11
    years
  • (ii)
    15
    years
  • (iii)
    13
    years
  • (iv)
    14
    years
  • (v)
    12
    years
Question 25
25.
    • Scores of 25 students are given below. Find the median.
    • Score
      70
      75
      78
      79
      80
      82
      83
      88
      No. of students
      3
      4
      4
      2
      4
      2
      5
      1
  • (i)
    81
  • (ii)
    78
  • (iii)
    80
  • (iv)
    77
  • (v)
    79
    Assignment Key

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