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.
      • 4
      • 10
      • 7
      • 1
      • 7
      • 3
      • 3
      • 11
      • 2
      • 20
      • 18
      • 17
  • (i)
    8
    7

    12
  • (ii)
    20
  • (iii)
    3
  • (iv)
    19
  • (v)
    1
Question 2
2.
    • If the mean of
      • 10
      • 4
    • x
      • 8
      • 2
    • is
    • 5
      4

      5
    • ,
    • find the value of x.
  • (i)
    6
  • (ii)
    4
  • (iii)
    5
  • (iv)
    7
  • (v)
    3
Question 3
3.
    • Given the mean of
    • 6
    • samples as
    • 11
      5

      6
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 14
    • ?
  • (i)
    83

    6
  • (ii)
    57

    4
  • (iii)
    29

    2
  • (iv)
    85

    6
  • (v)
    113

    8
Question 4
4.
    • Given the mean of
    • 9
    • samples as
    • 10
      4

      9
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 11
    • ?
  • (i)
    65

    7
  • (ii)
    85

    9
  • (iii)
    9
  • (iv)
    101

    11
  • (v)
    83

    9
Question 5
5.
    • Given the mean of
    • 10
    • samples as
    • 5
      7

      10
    • ,
    • what is the new mean if two samples
    • 8
    • and
    • 3
    • are added ?
  • (i)
    27

    5
  • (ii)
    7
  • (iii)
    17

    3
  • (iv)
    5
  • (v)
    19

    3
Question 6
6.
    • Given the mean of
    • 12
    • samples as
    • 6
      1

      12
    • ,
    • what is the new mean if two samples
    • 1
    • and
    • 9
    • are removed ?
  • (i)
    13

    2
  • (ii)
    51

    8
  • (iii)
    61

    10
  • (iv)
    63

    10
  • (v)
    25

    4
Question 7
7.
Find the mean of all prime numbers between 40 and 90.
  • (i)
    383

    6
  • (ii)
    127

    2
  • (iii)
    385

    6
  • (iv)
    257

    4
  • (v)
    509

    8
Question 8
8.
Find the mean of all prime numbers between 30 and 100.
  • (i)
    929

    15
  • (ii)
    931

    15
  • (iii)
    807

    13
  • (iv)
    311

    5
  • (v)
    1055

    17
Question 9
9.
Find the mean of first 6 multiples of 12.
  • (i)
    44
  • (ii)
    42
  • (iii)
    43
  • (iv)
    41
  • (v)
    40
Question 10
10.
Find the mean of first 6 whole numbers.
  • (i)
    7

    2
  • (ii)
    3
  • (iii)
    9

    4
  • (iv)
    5

    2
  • (v)
    3

    2
Question 11
11.
Find the mean of first 7 multiples of 13.
  • (i)
    54
  • (ii)
    53
  • (iii)
    52
  • (iv)
    49
  • (v)
    51
Question 12
12.
Find the mean of the first 15 odd numbers.
  • (i)
    15
  • (ii)
    13
  • (iii)
    18
  • (iv)
    16
  • (v)
    14
Question 13
13.
Find the mean of the first 10 even numbers.
  • (i)
    8
  • (ii)
    10
  • (iii)
    11
  • (iv)
    12
  • (v)
    14
Question 14
14.
    • The marks obtained by 12 students in a test are given below. Find their mean marks.
      • 6
      • 11
      • 36
      • 19
      • 17
      • 44
      • 7
      • 19
      • 49
      • 49
      • 32
      • 17
  • (i)
    49

    2
  • (ii)
    101

    4
  • (iii)
    51

    2
  • (iv)
    26
  • (v)
    53

    2
Question 15
15.
    • The marks obtained by 13 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 8.
      • 23
      • 7
      • 15
      • 46
      • 36
      • 14
      • 11
      • 34
      • 15
      • 35
      • 48
      • 24
      • 8
  • (i)
    418

    13
  • (ii)
    420

    13
  • (iii)
    356

    11
  • (iv)
    484

    15
  • (v)
    422

    13
Question 16
16.
    • 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 8.
      • 8
      • 33
      • 31
      • 34
      • 21
      • 10
      • 22
      • 21
      • 49
      • 20
      • 33
      • 42
      • 32
      • 27
      • 5
  • (i)
    302

    17
  • (ii)
    18
  • (iii)
    266

    15
  • (iv)
    268

    15
Question 17
17.
    • 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 doubled.
      • 25
      • 21
      • 43
      • 48
      • 38
      • 1
      • 29
      • 1
      • 10
      • 16
      • 44
      • 28
      • 29
      • 49
  • (i)
    382

    7
  • (ii)
    380

    7
  • (iii)
    490

    9
  • (iv)
    274

    5
  • (v)
    384

    7
Question 18
18.
    • Heights of 12 students (in cm) are given below. Find the mean height.
      • 163
      • 161
      • 140
      • 155
      • 164
      • 147
      • 155
      • 144
      • 156
      • 142
      • 140
      • 151
  • (i)
    303

    2
    cm
  • (ii)
    152
    cm
  • (iii)
    305

    2
    cm
  • (iv)
    307

    2
    cm
Question 19
19.
    • Heights of 14 plants (in cm) are given below. Find the mean height.
      • 91
      • 90
      • 77
      • 59
      • 72
      • 95
      • 67
      • 63
      • 53
      • 76
      • 88
      • 81
      • 76
      • 57
  • (i)
    1059

    14
    cm
  • (ii)
    523

    7
    cm
  • (iii)
    1047

    14
    cm
  • (iv)
    1045

    14
    cm
  • (v)
    1073

    14
    cm
Question 20
20.
    • Ages of 10 students (in years) are given below. Find the mean age.
      • 10
      • 11
      • 14
      • 14
      • 13
      • 14
      • 10
      • 11
      • 15
      • 12
  • (i)
    72

    5
    years
  • (ii)
    64

    5
    years
  • (iii)
    67

    5
    years
  • (iv)
    63

    5
    years
  • (v)
    62

    5
    years
Question 21
21.
    • Rainfall of 10 days (in mm) are given below. Find the mean rainfall.
      • 9
      • 5
      • 6
      • 12
      • 5
      • 15
      • 7
      • 10
      • 8
      • 8
  • (i)
    17

    2
    mm
  • (ii)
    19

    2
    mm
  • (iii)
    21

    2
    mm
  • (iv)
    9
    mm
Question 22
22.
    • Scores of 14 students are given below. Find the mean score.
      • 88
      • 75
      • 75
      • 79
      • 77
      • 76
      • 78
      • 75
      • 77
      • 77
      • 85
      • 72
      • 76
      • 81
  • (i)
    1093

    14
  • (ii)
    1105

    14
  • (iii)
    1091

    14
  • (iv)
    1119

    14
  • (v)
    78
Question 23
23.
    • Temperatures of 10 days (in °C) are given below. Find the mean temperature.
      • 30
      • 27
      • 26
      • 27
      • 32
      • 26
      • 30
      • 25
      • 34
      • 34
  • (i)
    301

    10
    °C
  • (ii)
    311

    10
    °C
  • (iii)
    146

    5
    °C
  • (iv)
    291

    10
    °C
  • (v)
    293

    10
    °C
Question 24
24.
    • Weights of 12 students (in kg) are given below. Find the mean weight.
      • 57
      • 55
      • 57
      • 55
      • 47
      • 40
      • 57
      • 54
      • 42
      • 42
      • 46
      • 46
  • (i)
    301

    6
    kg
  • (ii)
    305

    6
    kg
  • (iii)
    311

    6
    kg
  • (iv)
    50
    kg
  • (v)
    299

    6
    kg
Question 25
25.
    • Daily wages of 10 labourers (in ₹) are given below. Find the mean wage.
      • 416
      • 365
      • 461
      • 475
      • 338
      • 385
      • 439
      • 499
      • 418
      • 494
  • (i)
    429.00
  • (ii)
    431.00
  • (iii)
    427.00
  • (iv)
    430.00
  • (v)
    428.00
Question 26
26.
The arithmetic mean of a + 2, a, and a - 2 is
  • (i)
    a + 2
  • (ii)
    3a
  • (iii)
    a - 2
  • (iv)
    a
Question 27
27.
    • The arithmetic mean of
      • 7
      • 15
      • 30
      • 28
      • 49
      • 29
      • 6
      • 11
    • is
  • (i)
    20.88
  • (ii)
    19.88
  • (iii)
    21.88
  • (iv)
    23.88
  • (v)
    22.88
Question 28
28.
    • If the mean of
    • 7
    • samples is
    • 22
      5

      7
    • ,
    • what is the new mean if
    • 8
    • is added to each number.
  • (i)
    213

    7
  • (ii)
    275

    9
  • (iii)
    31
  • (iv)
    215

    7
Question 29
29.
    • If the mean of
    • 4
    • samples is
    • 23
      3

      4
    • ,
    • what is the new mean if
    • 9
    • is subtracted from each number.
  • (i)
    57

    4
  • (ii)
    59

    4
  • (iii)
    29

    2
  • (iv)
    31

    2
  • (v)
    61

    4
Question 30
30.
    • If the mean of
    • 4
    • samples is
    • 29
      1

      4
    • ,
    • what is the new mean if each number is multiplied by
    • 3
    • .
  • (i)
    353

    4
  • (ii)
    351

    4
  • (iii)
    177

    2
  • (iv)
    175

    2
  • (v)
    349

    4
Question 31
31.
    • The mean of
    • 5
    • numbers is
    • 9
      4

      5
    • .
    • Upon
    • excluding
    • one number,
    • the mean becomes
    • 7
      1

      2
    • .
    • Find the
    • excluded
    • number.
  • (i)
    20
  • (ii)
    21
  • (iii)
    17
  • (iv)
    19
  • (v)
    18
Question 32
32.
    • The mean of
    • 10
    • numbers is
    • 7
      3

      5
    • .
    • Upon
    • adding
    • one number,
    • the mean becomes
    • 7
      8

      11
    • .
    • Find the
    • included
    • number.
  • (i)
    10
  • (ii)
    8
  • (iii)
    12
  • (iv)
    9
  • (v)
    7
Question 33
33.
    • The mean of the below random sample is
    • 27
      1

      2
    • .
    • Find the missing quantity.
      • 19
      • 42
      • 37
      • 33
      • 11
      • x
      • 40
      • 25
      • 12
      • 24
  • (i)
    32
  • (ii)
    31
  • (iii)
    35
  • (iv)
    29
  • (v)
    33
    Assignment Key

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