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 7 students in a test are given below. Find the mean score.
      • 13
      • 6
      • 19
      • 12
      • 10
      • 15
      • 10
  • (i)
    12
  • (ii)
    19
  • (iii)
    13
  • (iv)
    6
  • (v)
    12
    1

    7
Question 2
2.
    • If the mean of
      • 1
      • 4
      • 5
    • x
      • 7
      • 6
    • is
    • 5
      1

      2
    • ,
    • find the value of x.
  • (i)
    10
  • (ii)
    8
  • (iii)
    11
  • (iv)
    9
  • (v)
    12
Question 3
3.
    • Given the mean of
    • 6
    • samples as
    • 9
      1

      2
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 20
    • ?
  • (i)
    25

    2
  • (ii)
    53

    4
  • (iii)
    77

    6
  • (iv)
    79

    6
  • (v)
    101

    8
Question 4
4.
    • Given the mean of
    • 11
    • samples as
    • 10
      1

      11
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 11
    • ?
  • (i)
    100

    11
  • (ii)
    82

    9
  • (iii)
    98

    11
  • (iv)
    102

    11
  • (v)
    118

    13
Question 5
5.
    • Given the mean of
    • 10
    • samples as
    • 3
      7

      10
    • ,
    • what is the new mean if two samples
    • 10
    • and
    • 7
    • are added ?
  • (i)
    5
  • (ii)
    7

    2
  • (iii)
    9

    2
  • (iv)
    17

    4
  • (v)
    11

    2
Question 6
6.
    • Given the mean of
    • 12
    • samples as
    • 6
      1

      2
    • ,
    • what is the new mean if two samples
    • 5
    • and
    • 5
    • are removed ?
  • (i)
    32

    5
  • (ii)
    22

    3
  • (iii)
    36

    5
  • (iv)
    34

    5
  • (v)
    46

    7
Question 7
7.
Find the mean of all prime numbers between 10 and 60.
  • (i)
    423

    13
  • (ii)
    487

    15
  • (iii)
    421

    13
  • (iv)
    359

    11
  • (v)
    425

    13
Question 8
8.
Find the mean of all prime numbers between 40 and 100.
  • (i)
    863

    13
  • (ii)
    865

    13
  • (iii)
    199

    3
  • (iv)
    731

    11
  • (v)
    861

    13
Question 9
9.
Find the mean of first 7 multiples of 7.
  • (i)
    27
  • (ii)
    26
  • (iii)
    28
  • (iv)
    30
  • (v)
    29
Question 10
10.
Find the mean of first 10 whole numbers.
  • (i)
    5
  • (ii)
    9

    2
  • (iii)
    17

    4
  • (iv)
    11

    2
  • (v)
    7

    2
Question 11
11.
Find the mean of first 7 multiples of 13.
  • (i)
    52
  • (ii)
    51
  • (iii)
    55
  • (iv)
    53
  • (v)
    50
Question 12
12.
Find the mean of the first 10 odd numbers.
  • (i)
    9
  • (ii)
    11
  • (iii)
    12
  • (iv)
    10
  • (v)
    7
Question 13
13.
Find the mean of the first 10 even numbers.
  • (i)
    9
  • (ii)
    12
  • (iii)
    10
  • (iv)
    11
  • (v)
    13
Question 14
14.
    • The marks obtained by 12 students in a test are given below. Find their mean marks.
      • 48
      • 6
      • 29
      • 31
      • 8
      • 31
      • 44
      • 16
      • 25
      • 18
      • 36
      • 8
  • (i)
    27
  • (ii)
    23
  • (iii)
    25
  • (iv)
    24
  • (v)
    26
Question 15
15.
    • 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 9.
      • 35
      • 35
      • 22
      • 20
      • 32
      • 3
      • 13
      • 43
      • 48
      • 38
      • 11
      • 44
  • (i)
    115

    3
  • (ii)
    39
  • (iii)
    37
  • (iv)
    187

    5
  • (v)
    113

    3
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 8.
      • 17
      • 7
      • 3
      • 5
      • 43
      • 11
      • 32
      • 24
      • 21
      • 10
      • 3
      • 18
      • 30
      • 21
  • (i)
    10
  • (ii)
    17

    2
  • (iii)
    19

    2
  • (iv)
    21

    2
  • (v)
    37

    4
Question 17
17.
    • 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 doubled.
      • 36
      • 35
      • 17
      • 37
      • 13
      • 48
      • 19
      • 32
      • 17
      • 44
      • 34
      • 6
  • (i)
    169

    3
  • (ii)
    167

    3
  • (iii)
    57
  • (iv)
    281

    5
Question 18
18.
    • Heights of 11 students (in cm) are given below. Find the mean height.
      • 169
      • 152
      • 151
      • 172
      • 142
      • 163
      • 142
      • 130
      • 138
      • 133
      • 155
  • (i)
    1647

    11
    cm
  • (ii)
    1649

    11
    cm
  • (iii)
    1658

    11
    cm
  • (iv)
    1669

    11
    cm
  • (v)
    1648

    11
    cm
Question 19
19.
    • Heights of 12 plants (in cm) are given below. Find the mean height.
      • 84
      • 84
      • 94
      • 60
      • 56
      • 77
      • 59
      • 78
      • 66
      • 77
      • 65
      • 80
  • (i)
    226

    3
    cm
  • (ii)
    221

    3
    cm
  • (iii)
    220

    3
    cm
  • (iv)
    74
    cm
  • (v)
    223

    3
    cm
Question 20
20.
    • Ages of 13 students (in years) are given below. Find the mean age.
      • 14
      • 13
      • 15
      • 11
      • 11
      • 12
      • 10
      • 15
      • 15
      • 15
      • 13
      • 14
      • 14
  • (i)
    185

    13
    years
  • (ii)
    173

    13
    years
  • (iii)
    174

    13
    years
  • (iv)
    198

    13
    years
  • (v)
    172

    13
    years
Question 21
21.
    • Rainfall of 10 days (in mm) are given below. Find the mean rainfall.
      • 10
      • 7
      • 15
      • 13
      • 10
      • 9
      • 5
      • 15
      • 10
      • 8
  • (i)
    53

    5
    mm
  • (ii)
    51

    5
    mm
  • (iii)
    52

    5
    mm
  • (iv)
    56

    5
    mm
  • (v)
    61

    5
    mm
Question 22
22.
    • Scores of 10 students are given below. Find the mean score.
      • 72
      • 88
      • 90
      • 82
      • 78
      • 71
      • 79
      • 89
      • 85
      • 77
  • (i)
    811

    10
  • (ii)
    821

    10
  • (iii)
    813

    10
  • (iv)
    831

    10
  • (v)
    406

    5
Question 23
23.
    • Temperatures of 10 days (in °C) are given below. Find the mean temperature.
      • 30
      • 30
      • 25
      • 32
      • 34
      • 28
      • 29
      • 29
      • 26
      • 26
  • (i)
    299

    10
    °C
  • (ii)
    309

    10
    °C
  • (iii)
    289

    10
    °C
  • (iv)
    291

    10
    °C
  • (v)
    29
    °C
Question 24
24.
    • Weights of 12 students (in kg) are given below. Find the mean weight.
      • 48
      • 57
      • 44
      • 46
      • 45
      • 53
      • 46
      • 46
      • 46
      • 57
      • 45
      • 43
  • (i)
    50
    kg
  • (ii)
    49
    kg
  • (iii)
    48
    kg
  • (iv)
    46
    kg
  • (v)
    47
    kg
Question 25
25.
    • Daily wages of 15 labourers (in ₹) are given below. Find the mean wage.
      • 382
      • 484
      • 358
      • 371
      • 390
      • 315
      • 375
      • 349
      • 470
      • 392
      • 476
      • 422
      • 451
      • 381
      • 395
  • (i)
    402.73
  • (ii)
    400.87
  • (iii)
    401.73
  • (iv)
    400.80
  • (v)
    400.73
Question 26
26.
The arithmetic mean of a + 2, a, and a - 2 is
  • (i)
    3a
  • (ii)
    a + 2
  • (iii)
    a
  • (iv)
    a - 2
Question 27
27.
    • The arithmetic mean of
      • 6
      • 18
      • 21
      • 15
      • 34
      • 22
      • 31
    • is
  • (i)
    23
  • (ii)
    22
  • (iii)
    19
  • (iv)
    21
  • (v)
    20
Question 28
28.
    • If the mean of
    • 8
    • samples is
    • 27
      3

      4
    • ,
    • what is the new mean if
    • 9
    • is added to each number.
  • (i)
    73

    2
  • (ii)
    149

    4
  • (iii)
    147

    4
  • (iv)
    75

    2
  • (v)
    145

    4
Question 29
29.
    • If the mean of
    • 8
    • samples is
    • 21
      7

      8
    • ,
    • what is the new mean if
    • 7
    • is subtracted from each number.
  • (i)
    147

    10
  • (ii)
    121

    8
  • (iii)
    117

    8
  • (iv)
    119

    8
  • (v)
    91

    6
Question 30
30.
    • If the mean of
    • 7
    • samples is
    • 17
      5

      7
    • ,
    • what is the new mean if each number is multiplied by
    • 3
    • .
  • (i)
    374

    7
  • (ii)
    478

    9
  • (iii)
    370

    7
  • (iv)
    372

    7
  • (v)
    266

    5
Question 31
31.
    • The mean of
    • 5
    • numbers is
    • 10
      2

      5
    • .
    • Upon
    • excluding
    • one number,
    • the mean becomes
    • 10
      1

      2
    • .
    • Find the
    • excluded
    • number.
  • (i)
    9
  • (ii)
    8
  • (iii)
    11
  • (iv)
    10
  • (v)
    13
Question 32
32.
    • The mean of
    • 6
    • numbers is
    • 13
      1

      2
    • .
    • Upon
    • adding
    • one number,
    • the mean becomes
    • 13
      2

      7
    • .
    • Find the
    • included
    • number.
  • (i)
    13
  • (ii)
    11
  • (iii)
    9
  • (iv)
    15
  • (v)
    12
Question 33
33.
    • The mean of the below random sample is
    • 28
      1

      10
    • .
    • Find the missing quantity.
      • 43
      • 42
      • 34
      • 30
      • 14
      • x
      • 26
      • 26
      • 25
      • 13
  • (i)
    28
  • (ii)
    29
  • (iii)
    27
  • (iv)
    26
  • (v)
    31
    Assignment Key

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