EduSahara™ Assignment
Name : Arithmetic Mean Miscellaneous Problems
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • The scores obtained by 6 students in a test are given below. Find the mean score.
      • 3
      • 5
      • 2
      • 19
      • 7
      • 1
  • (i)
    18
  • (ii)
    4
  • (iii)
    6
    1

    6
  • (iv)
    1
  • (v)
    19
Question 2
2.
    • If the mean of
      • 5
      • 6
      • 7
    • x
      • 1
      • 8
      • 10
    • is
    • 5
      5

      7
    • ,
    • find the value of x.
  • (i)
    3
  • (ii)
    6
  • (iii)
    4
  • (iv)
    1
  • (v)
    2
Question 3
3.
    • Given the mean of
    • 8
    • samples as
    • 9
      1

      4
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 11
    • ?
  • (i)
    21

    2
  • (ii)
    65

    6
  • (iii)
    83

    8
  • (iv)
    87

    8
  • (v)
    85

    8
Question 4
4.
    • Given the mean of
    • 6
    • samples as
    • 9
      1

      3
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 19
    • ?
  • (i)
    25

    4
  • (ii)
    49

    8
  • (iii)
    37

    6
  • (iv)
    35

    6
  • (v)
    13

    2
Question 5
5.
    • Given the mean of
    • 10
    • samples as
    • 4
      7

      10
    • ,
    • what is the new mean if two samples
    • 5
    • and
    • 6
    • are added ?
  • (i)
    21

    4
  • (ii)
    37

    8
  • (iii)
    31

    6
  • (iv)
    29

    6
  • (v)
    9

    2
Question 6
6.
    • Given the mean of
    • 12
    • samples as
    • 5
      7

      12
    • ,
    • what is the new mean if two samples
    • 2
    • and
    • 4
    • are removed ?
  • (i)
    61

    10
  • (ii)
    63

    10
  • (iii)
    59

    10
  • (iv)
    49

    8
  • (v)
    73

    12
Question 7
7.
Find the mean of all prime numbers between 40 and 60.
  • (i)
    49
  • (ii)
    243

    5
  • (iii)
    241

    5
  • (iv)
    339

    7
Question 8
8.
Find the mean of all prime numbers between 10 and 70.
  • (i)
    479

    13
  • (ii)
    183

    5
  • (iii)
    623

    17
  • (iv)
    551

    15
  • (v)
    553

    15
Question 9
9.
Find the mean of first 6 multiples of 12.
  • (i)
    39
  • (ii)
    41
  • (iii)
    45
  • (iv)
    43
  • (v)
    42
Question 10
10.
Find the mean of first 9 whole numbers.
  • (i)
    4
  • (ii)
    3
  • (iii)
    6
  • (iv)
    2
  • (v)
    5
Question 11
11.
Find the mean of first 5 multiples of 13.
  • (i)
    39
  • (ii)
    40
  • (iii)
    36
  • (iv)
    42
  • (v)
    38
Question 12
12.
Find the mean of the first 20 odd numbers.
  • (i)
    20
  • (ii)
    17
  • (iii)
    21
  • (iv)
    22
  • (v)
    19
Question 13
13.
Find the mean of the first 20 even numbers.
  • (i)
    21
  • (ii)
    18
  • (iii)
    23
  • (iv)
    20
  • (v)
    22
Question 14
14.
    • The marks obtained by 15 students in a test are given below. Find their mean marks.
      • 13
      • 43
      • 26
      • 28
      • 10
      • 34
      • 13
      • 47
      • 18
      • 1
      • 15
      • 18
      • 50
      • 15
      • 41
  • (i)
    126

    5
  • (ii)
    124

    5
  • (iii)
    76

    3
  • (iv)
    172

    7
  • (v)
    122

    5
Question 15
15.
    • 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 increased by 3.
      • 12
      • 31
      • 28
      • 36
      • 35
      • 10
      • 13
      • 22
      • 46
      • 5
  • (i)
    82

    3
  • (ii)
    134

    5
  • (iii)
    132

    5
  • (iv)
    186

    7
  • (v)
    136

    5
Question 16
16.
    • 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 decreased by 6.
      • 5
      • 35
      • 3
      • 47
      • 10
      • 12
      • 35
      • 36
      • 22
      • 22
  • (i)
    199

    12
  • (ii)
    135

    8
  • (iii)
    33

    2
  • (iv)
    167

    10
  • (v)
    169

    10
Question 17
17.
    • The marks obtained by 11 students in a test are given below. Find the mean of their marks when the marks of each student is doubled.
      • 26
      • 9
      • 19
      • 7
      • 29
      • 44
      • 33
      • 16
      • 45
      • 36
      • 25
  • (i)
    576

    11
  • (ii)
    578

    11
  • (iii)
    682

    13
  • (iv)
    158

    3
  • (v)
    580

    11
Question 18
18.
    • Heights of 14 students (in cm) are given below. Find the mean height.
      • 127
      • 146
      • 151
      • 134
      • 140
      • 165
      • 161
      • 143
      • 149
      • 135
      • 164
      • 129
      • 128
      • 138
  • (i)
    1006

    7
    cm
  • (ii)
    1007

    7
    cm
  • (iii)
    1012

    7
    cm
  • (iv)
    1005

    7
    cm
  • (v)
    1019

    7
    cm
Question 19
19.
    • Heights of 14 plants (in cm) are given below. Find the mean height.
      • 88
      • 71
      • 100
      • 71
      • 100
      • 85
      • 70
      • 73
      • 99
      • 68
      • 56
      • 82
      • 60
      • 58
  • (i)
    1081

    14
    cm
  • (ii)
    1095

    14
    cm
  • (iii)
    541

    7
    cm
  • (iv)
    1109

    14
    cm
  • (v)
    1083

    14
    cm
Question 20
20.
    • Ages of 15 students (in years) are given below. Find the mean age.
      • 12
      • 11
      • 10
      • 11
      • 11
      • 15
      • 14
      • 12
      • 12
      • 15
      • 15
      • 13
      • 11
      • 13
      • 10
  • (i)
    13
    years
  • (ii)
    40

    3
    years
  • (iii)
    43

    3
    years
  • (iv)
    37

    3
    years
  • (v)
    38

    3
    years
Question 21
21.
    • Rainfall of 14 days (in mm) are given below. Find the mean rainfall.
      • 8
      • 8
      • 14
      • 12
      • 10
      • 14
      • 14
      • 14
      • 11
      • 15
      • 9
      • 15
      • 10
      • 7
  • (i)
    25

    2
    mm
  • (ii)
    27

    2
    mm
  • (iii)
    23

    2
    mm
  • (iv)
    12
    mm
Question 22
22.
    • Scores of 14 students are given below. Find the mean score.
      • 72
      • 87
      • 80
      • 74
      • 75
      • 79
      • 90
      • 72
      • 88
      • 85
      • 70
      • 90
      • 78
      • 87
  • (i)
    81
  • (ii)
    161

    2
  • (iii)
    163

    2
  • (iv)
    165

    2
Question 23
23.
    • Temperatures of 11 days (in °C) are given below. Find the mean temperature.
      • 30
      • 30
      • 31
      • 30
      • 34
      • 32
      • 34
      • 30
      • 29
      • 25
      • 28
  • (i)
    333

    11
    °C
  • (ii)
    355

    11
    °C
  • (iii)
    334

    11
    °C
  • (iv)
    344

    11
    °C
  • (v)
    335

    11
    °C
Question 24
24.
    • Weights of 13 students (in kg) are given below. Find the mean weight.
      • 60
      • 60
      • 40
      • 54
      • 55
      • 51
      • 53
      • 54
      • 41
      • 42
      • 54
      • 40
      • 49
  • (i)
    666

    13
    kg
  • (ii)
    654

    13
    kg
  • (iii)
    655

    13
    kg
  • (iv)
    679

    13
    kg
  • (v)
    653

    13
    kg
Question 25
25.
    • Daily wages of 14 labourers (in ₹) are given below. Find the mean wage.
      • 426
      • 426
      • 304
      • 401
      • 371
      • 321
      • 499
      • 455
      • 440
      • 437
      • 404
      • 438
      • 474
      • 389
  • (i)
    415.21
  • (ii)
    413.29
  • (iii)
    414.21
  • (iv)
    413.21
  • (v)
    413.36
Question 26
26.
The arithmetic mean of a + 2, a, and a - 2 is
  • (i)
    a
  • (ii)
    3a
  • (iii)
    a + 2
  • (iv)
    a - 2
Question 27
27.
    • The arithmetic mean of
      • 38
      • 22
      • 8
      • 21
      • 43
      • 14
      • 50
      • 26
    • is
  • (i)
    27.75
  • (ii)
    29.75
  • (iii)
    26.75
  • (iv)
    25.75
  • (v)
    28.75
Question 28
28.
    • If the mean of
    • 7
    • samples is
    • 14
    • ,
    • what is the new mean if
    • 6
    • is added to each number.
  • (i)
    18
  • (ii)
    20
  • (iii)
    21
  • (iv)
    19
  • (v)
    23
Question 29
29.
    • If the mean of
    • 4
    • samples is
    • 37
      1

      4
    • ,
    • what is the new mean if
    • 6
    • is subtracted from each number.
  • (i)
    123

    4
  • (ii)
    127

    4
  • (iii)
    63

    2
  • (iv)
    187

    6
  • (v)
    125

    4
Question 30
30.
    • If the mean of
    • 7
    • samples is
    • 18
      1

      7
    • ,
    • what is the new mean if each number is multiplied by
    • 6
    • .
  • (i)
    546

    5
  • (ii)
    762

    7
  • (iii)
    326

    3
  • (iv)
    764

    7
  • (v)
    760

    7
Question 31
31.
    • The mean of
    • 8
    • numbers is
    • 11
      1

      2
    • .
    • Upon
    • excluding
    • one number,
    • the mean becomes
    • 12
      3

      7
    • .
    • Find the
    • excluded
    • number.
  • (i)
    6
  • (ii)
    5
  • (iii)
    2
  • (iv)
    7
  • (v)
    4
Question 32
32.
    • The mean of
    • 9
    • numbers is
    • 11
      7

      9
    • .
    • Upon
    • adding
    • one number,
    • the mean becomes
    • 11
      4

      5
    • .
    • Find the
    • included
    • number.
  • (i)
    13
  • (ii)
    14
  • (iii)
    11
  • (iv)
    9
  • (v)
    12
Question 33
33.
    • The mean of the below random sample is
    • 23
      7

      10
    • .
    • Find the missing quantity.
      • 45
      • x
      • 27
      • 27
      • 12
      • 15
      • 24
      • 19
      • 27
      • 29
  • (i)
    11
  • (ii)
    9
  • (iii)
    12
  • (iv)
    13
  • (v)
    15
    Assignment Key

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