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 12 students in a test are given below. Find the mean score.
      • 20
      • 17
      • 13
      • 10
      • 6
      • 9
      • 20
      • 15
      • 11
      • 5
      • 9
      • 13
  • (i)
    12
    1

    3
  • (ii)
    15
  • (iii)
    5
  • (iv)
    9
  • (v)
    20
Question 2
2.
    • If the mean of
      • 3
      • 10
      • 2
      • 9
    • x
      • 6
      • 4
      • 5
    • is
    • 5
      7

      8
    • ,
    • find the value of x.
  • (i)
    10
  • (ii)
    6
  • (iii)
    8
  • (iv)
    9
  • (v)
    7
Question 3
3.
    • Given the mean of
    • 12
    • samples as
    • 12
      1

      6
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 14
    • ?
  • (i)
    14
  • (ii)
    66

    5
  • (iii)
    38

    3
  • (iv)
    40

    3
Question 4
4.
    • Given the mean of
    • 12
    • samples as
    • 10
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 19
    • ?
  • (i)
    101

    12
  • (ii)
    17

    2
  • (iii)
    103

    12
  • (iv)
    33

    4
  • (v)
    117

    14
Question 5
5.
    • Given the mean of
    • 10
    • samples as
    • 6
      2

      5
    • ,
    • what is the new mean if two samples
    • 7
    • and
    • 4
    • are added ?
  • (i)
    13

    2
  • (ii)
    25

    4
  • (iii)
    37

    6
  • (iv)
    23

    4
  • (v)
    27

    4
Question 6
6.
    • Given the mean of
    • 12
    • samples as
    • 5
      7

      12
    • ,
    • what is the new mean if two samples
    • 9
    • and
    • 6
    • are removed ?
  • (i)
    24

    5
  • (ii)
    28

    5
  • (iii)
    36

    7
  • (iv)
    16

    3
  • (v)
    26

    5
Question 7
7.
Find the mean of all prime numbers between 50 and 70.
  • (i)
    60
  • (ii)
    59
  • (iii)
    61
  • (iv)
    62
  • (v)
    57
Question 8
8.
Find the mean of all prime numbers between 30 and 100.
  • (i)
    311

    5
  • (ii)
    931

    15
  • (iii)
    807

    13
  • (iv)
    1055

    17
  • (v)
    929

    15
Question 9
9.
Find the mean of first 9 multiples of 15.
  • (i)
    75
  • (ii)
    73
  • (iii)
    77
  • (iv)
    74
  • (v)
    76
Question 10
10.
Find the mean of first 6 whole numbers.
  • (i)
    9

    4
  • (ii)
    7

    2
  • (iii)
    5

    2
  • (iv)
    3
  • (v)
    3

    2
Question 11
11.
Find the mean of first 8 multiples of 9.
  • (i)
    81

    2
  • (ii)
    41
  • (iii)
    161

    4
  • (iv)
    83

    2
  • (v)
    79

    2
Question 12
12.
Find the mean of the first 20 odd numbers.
  • (i)
    19
  • (ii)
    18
  • (iii)
    20
  • (iv)
    21
  • (v)
    23
Question 13
13.
Find the mean of the first 15 even numbers.
  • (i)
    16
  • (ii)
    19
  • (iii)
    13
  • (iv)
    15
  • (v)
    17
Question 14
14.
    • The marks obtained by 14 students in a test are given below. Find their mean marks.
      • 15
      • 18
      • 36
      • 36
      • 26
      • 31
      • 6
      • 20
      • 37
      • 37
      • 32
      • 16
      • 31
      • 46
  • (i)
    55

    2
  • (ii)
    111

    4
  • (iii)
    387

    14
  • (iv)
    441

    16
  • (v)
    389

    14
Question 15
15.
    • 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 increased by 9.
      • 49
      • 29
      • 48
      • 16
      • 27
      • 5
      • 22
      • 49
      • 47
      • 32
      • 30
  • (i)
    453

    11
  • (ii)
    455

    11
  • (iii)
    535

    13
  • (iv)
    41
  • (v)
    371

    9
Question 16
16.
    • The marks obtained by 14 students in a test are given below. Find the mean of their marks when the marks of each student is decreased by 4.
      • 31
      • 35
      • 22
      • 28
      • 3
      • 34
      • 15
      • 10
      • 36
      • 3
      • 13
      • 22
      • 10
      • 20
  • (i)
    81

    5
  • (ii)
    145

    9
  • (iii)
    113

    7
  • (iv)
    111

    7
  • (v)
    115

    7
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.
      • 21
      • 32
      • 3
      • 16
      • 47
      • 11
      • 39
      • 17
      • 26
      • 17
      • 21
  • (i)
    500

    11
  • (ii)
    590

    13
  • (iii)
    410

    9
  • (iv)
    498

    11
  • (v)
    502

    11
Question 18
18.
    • Heights of 10 students (in cm) are given below. Find the mean height.
      • 160
      • 137
      • 156
      • 133
      • 141
      • 153
      • 150
      • 146
      • 171
      • 150
  • (i)
    1497

    10
    cm
  • (ii)
    1499

    10
    cm
  • (iii)
    749

    5
    cm
  • (iv)
    1507

    10
    cm
  • (v)
    1517

    10
    cm
Question 19
19.
    • Heights of 13 plants (in cm) are given below. Find the mean height.
      • 65
      • 100
      • 64
      • 89
      • 57
      • 57
      • 54
      • 79
      • 73
      • 86
      • 60
      • 98
      • 77
  • (i)
    960

    13
    cm
  • (ii)
    959

    13
    cm
  • (iii)
    972

    13
    cm
  • (iv)
    985

    13
    cm
  • (v)
    961

    13
    cm
Question 20
20.
    • Ages of 14 students (in years) are given below. Find the mean age.
      • 13
      • 12
      • 11
      • 15
      • 15
      • 12
      • 13
      • 15
      • 14
      • 14
      • 12
      • 10
      • 13
      • 13
  • (i)
    11
    years
  • (ii)
    12
    years
  • (iii)
    13
    years
  • (iv)
    14
    years
  • (v)
    15
    years
Question 21
21.
    • Rainfall of 14 days (in mm) are given below. Find the mean rainfall.
      • 13
      • 6
      • 7
      • 14
      • 8
      • 12
      • 13
      • 7
      • 15
      • 10
      • 12
      • 15
      • 6
      • 11
  • (i)
    177

    14
    mm
  • (ii)
    163

    14
    mm
  • (iii)
    151

    14
    mm
  • (iv)
    75

    7
    mm
  • (v)
    149

    14
    mm
Question 22
22.
    • Scores of 15 students are given below. Find the mean score.
      • 80
      • 72
      • 77
      • 84
      • 83
      • 87
      • 85
      • 71
      • 79
      • 77
      • 86
      • 70
      • 76
      • 82
      • 74
  • (i)
    1183

    15
  • (ii)
    1184

    15
  • (iii)
    1213

    15
  • (iv)
    1198

    15
  • (v)
    79
Question 23
23.
    • Temperatures of 15 days (in °C) are given below. Find the mean temperature.
      • 35
      • 35
      • 26
      • 26
      • 30
      • 30
      • 35
      • 32
      • 26
      • 28
      • 27
      • 31
      • 31
      • 34
      • 31
  • (i)
    457

    15
    °C
  • (ii)
    472

    15
    °C
  • (iii)
    458

    15
    °C
  • (iv)
    153

    5
    °C
  • (v)
    487

    15
    °C
Question 24
24.
    • Weights of 15 students (in kg) are given below. Find the mean weight.
      • 56
      • 51
      • 54
      • 59
      • 44
      • 46
      • 55
      • 54
      • 57
      • 53
      • 41
      • 41
      • 57
      • 43
      • 44
  • (i)
    157

    3
    kg
  • (ii)
    152

    3
    kg
  • (iii)
    151

    3
    kg
  • (iv)
    51
    kg
  • (v)
    154

    3
    kg
Question 25
25.
    • Daily wages of 14 labourers (in ₹) are given below. Find the mean wage.
      • 392
      • 419
      • 310
      • 336
      • 336
      • 437
      • 308
      • 474
      • 447
      • 361
      • 357
      • 486
      • 419
      • 351
  • (i)
    388.14
  • (ii)
    390.07
  • (iii)
    388.07
  • (iv)
    389.07
  • (v)
    388.21
Question 26
26.
The arithmetic mean of a + 2, a, and a - 2 is
  • (i)
    a
  • (ii)
    a - 2
  • (iii)
    a + 2
  • (iv)
    3a
Question 27
27.
    • The arithmetic mean of
      • 2
      • 10
      • 49
      • 9
      • 9
      • 36
      • 27
      • 9
    • is
  • (i)
    17.88
  • (ii)
    16.88
  • (iii)
    19.88
  • (iv)
    20.88
  • (v)
    18.88
Question 28
28.
    • If the mean of
    • 5
    • samples is
    • 31
      1

      5
    • ,
    • what is the new mean if
    • 9
    • is added to each number.
  • (i)
    201

    5
  • (ii)
    121

    3
  • (iii)
    281

    7
  • (iv)
    203

    5
  • (v)
    199

    5
Question 29
29.
    • If the mean of
    • 5
    • samples is
    • 21
      2

      5
    • ,
    • what is the new mean if
    • 4
    • is subtracted from each number.
  • (i)
    89

    5
  • (ii)
    121

    7
  • (iii)
    87

    5
  • (iv)
    53

    3
  • (v)
    17
Question 30
30.
    • If the mean of
    • 5
    • samples is
    • 23
      1

      5
    • ,
    • what is the new mean if each number is multiplied by
    • 7
    • .
  • (i)
    814

    5
  • (ii)
    812

    5
  • (iii)
    162
  • (iv)
    488

    3
  • (v)
    1136

    7
Question 31
31.
    • The mean of
    • 10
    • numbers is
    • 9
      1

      5
    • .
    • Upon
    • excluding
    • one number,
    • the mean becomes
    • 9
      1

      9
    • .
    • Find the
    • excluded
    • number.
  • (i)
    8
  • (ii)
    9
  • (iii)
    12
  • (iv)
    11
  • (v)
    10
Question 32
32.
    • The mean of
    • 5
    • numbers is
    • 14
      2

      5
    • .
    • Upon
    • adding
    • one number,
    • the mean becomes
    • 15
    • .
    • Find the
    • included
    • number.
  • (i)
    19
  • (ii)
    18
  • (iii)
    15
  • (iv)
    17
  • (v)
    20
Question 33
33.
    • The mean of the below random sample is
    • 32
      9

      10
    • .
    • Find the missing quantity.
      • 32
      • x
      • 46
      • 22
      • 47
      • 44
      • 24
      • 28
      • 25
      • 15
  • (i)
    46
  • (ii)
    45
  • (iii)
    43
  • (iv)
    48
  • (v)
    47
    Assignment Key

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