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 8 students in a test are given below. Find the mean score.
      • 9
      • 12
      • 10
      • 11
      • 17
      • 3
      • 3
      • 3
  • (i)
    17
  • (ii)
    8
    1

    2
  • (iii)
    14
  • (iv)
    9
    1

    2
  • (v)
    3
Question 2
2.
    • If the mean of
      • 9
      • 5
      • 3
    • x
      • 8
      • 7
    • is
    • 7
    • ,
    • find the value of x.
  • (i)
    11
  • (ii)
    9
  • (iii)
    8
  • (iv)
    13
  • (v)
    10
Question 3
3.
    • Given the mean of
    • 6
    • samples as
    • 7
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 10
    • ?
  • (i)
    8
  • (ii)
    42

    5
  • (iii)
    26

    3
  • (iv)
    28

    3
  • (v)
    10
Question 4
4.
    • Given the mean of
    • 10
    • samples as
    • 9
      3

      10
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 14
    • ?
  • (i)
    65

    8
  • (ii)
    79

    10
  • (iii)
    81

    10
  • (iv)
    77

    10
  • (v)
    31

    4
Question 5
5.
    • Given the mean of
    • 10
    • samples as
    • 4
      3

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

    4
  • (ii)
    17

    4
  • (iii)
    19

    4
  • (iv)
    9

    2
  • (v)
    11

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

      6
    • ,
    • what is the new mean if two samples
    • 10
    • and
    • 1
    • are removed ?
  • (i)
    13

    2
  • (ii)
    25

    4
  • (iii)
    51

    8
  • (iv)
    61

    10
  • (v)
    63

    10
Question 7
7.
Find the mean of all prime numbers between 20 and 60.
  • (i)
    201

    5
  • (ii)
    41
  • (iii)
    121

    3
  • (iv)
    119

    3
Question 8
8.
Find the mean of all prime numbers between 30 and 100.
  • (i)
    931

    15
  • (ii)
    311

    5
  • (iii)
    1055

    17
  • (iv)
    929

    15
  • (v)
    807

    13
Question 9
9.
Find the mean of first 5 multiples of 12.
  • (i)
    36
  • (ii)
    35
  • (iii)
    37
  • (iv)
    38
  • (v)
    34
Question 10
10.
Find the mean of first 7 whole numbers.
  • (i)
    0
  • (ii)
    6
  • (iii)
    3
  • (iv)
    4
  • (v)
    2
Question 11
11.
Find the mean of first 5 multiples of 14.
  • (i)
    44
  • (ii)
    41
  • (iii)
    42
  • (iv)
    40
  • (v)
    43
Question 12
12.
Find the mean of the first 15 odd numbers.
  • (i)
    16
  • (ii)
    15
  • (iii)
    17
  • (iv)
    13
  • (v)
    14
Question 13
13.
Find the mean of the first 10 even numbers.
  • (i)
    9
  • (ii)
    11
  • (iii)
    12
  • (iv)
    13
  • (v)
    10
Question 14
14.
    • The marks obtained by 11 students in a test are given below. Find their mean marks.
      • 4
      • 31
      • 48
      • 30
      • 44
      • 36
      • 38
      • 7
      • 12
      • 24
      • 28
  • (i)
    302

    11
  • (ii)
    356

    13
  • (iii)
    300

    11
  • (iv)
    248

    9
  • (v)
    304

    11
Question 15
15.
    • 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 increased by 5.
      • 40
      • 38
      • 13
      • 45
      • 23
      • 10
      • 38
      • 50
      • 31
      • 6
      • 29
      • 15
      • 46
      • 4
  • (i)
    293

    9
  • (ii)
    229

    7
  • (iii)
    33
  • (iv)
    227

    7
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 7.
      • 29
      • 10
      • 41
      • 40
      • 31
      • 30
      • 6
      • 26
      • 26
      • 16
  • (i)
    39

    2
  • (ii)
    73

    4
  • (iii)
    35

    2
  • (iv)
    37

    2
  • (v)
    19
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.
      • 9
      • 10
      • 6
      • 7
      • 42
      • 31
      • 1
      • 35
      • 18
      • 6
      • 19
  • (i)
    370

    11
  • (ii)
    366

    11
  • (iii)
    434

    13
  • (iv)
    302

    9
  • (v)
    368

    11
Question 18
18.
    • Heights of 15 students (in cm) are given below. Find the mean height.
      • 146
      • 141
      • 160
      • 135
      • 136
      • 153
      • 142
      • 132
      • 159
      • 148
      • 127
      • 160
      • 168
      • 154
      • 160
  • (i)
    2236

    15
    cm
  • (ii)
    741

    5
    cm
  • (iii)
    2221

    15
    cm
  • (iv)
    2222

    15
    cm
  • (v)
    2251

    15
    cm
Question 19
19.
    • Heights of 14 plants (in cm) are given below. Find the mean height.
      • 78
      • 53
      • 66
      • 81
      • 79
      • 59
      • 83
      • 55
      • 50
      • 76
      • 96
      • 52
      • 69
      • 95
  • (i)
    498

    7
    cm
  • (ii)
    503

    7
    cm
  • (iii)
    510

    7
    cm
  • (iv)
    496

    7
    cm
  • (v)
    71
    cm
Question 20
20.
    • Ages of 10 students (in years) are given below. Find the mean age.
      • 13
      • 15
      • 10
      • 11
      • 12
      • 15
      • 14
      • 11
      • 10
      • 13
  • (i)
    63

    5
    years
  • (ii)
    62

    5
    years
  • (iii)
    64

    5
    years
  • (iv)
    67

    5
    years
  • (v)
    72

    5
    years
Question 21
21.
    • Rainfall of 14 days (in mm) are given below. Find the mean rainfall.
      • 11
      • 11
      • 12
      • 5
      • 13
      • 7
      • 6
      • 5
      • 12
      • 7
      • 8
      • 8
      • 12
      • 10
  • (i)
    141

    14
    mm
  • (ii)
    127

    14
    mm
  • (iii)
    64

    7
    mm
  • (iv)
    129

    14
    mm
  • (v)
    155

    14
    mm
Question 22
22.
    • Scores of 10 students are given below. Find the mean score.
      • 81
      • 89
      • 75
      • 83
      • 72
      • 76
      • 86
      • 83
      • 81
      • 87
  • (i)
    407

    5
  • (ii)
    833

    10
  • (iii)
    813

    10
  • (iv)
    163

    2
  • (v)
    823

    10
Question 23
23.
    • Temperatures of 13 days (in °C) are given below. Find the mean temperature.
      • 25
      • 34
      • 32
      • 25
      • 33
      • 32
      • 32
      • 32
      • 35
      • 34
      • 29
      • 32
      • 35
  • (i)
    436

    13
    °C
  • (ii)
    423

    13
    °C
  • (iii)
    410

    13
    °C
  • (iv)
    411

    13
    °C
  • (v)
    412

    13
    °C
Question 24
24.
    • Weights of 14 students (in kg) are given below. Find the mean weight.
      • 57
      • 56
      • 55
      • 46
      • 57
      • 57
      • 49
      • 40
      • 40
      • 58
      • 44
      • 49
      • 60
      • 57
  • (i)
    727

    14
    kg
  • (ii)
    739

    14
    kg
  • (iii)
    753

    14
    kg
  • (iv)
    363

    7
    kg
  • (v)
    725

    14
    kg
Question 25
25.
    • Daily wages of 11 labourers (in ₹) are given below. Find the mean wage.
      • 467
      • 375
      • 341
      • 331
      • 436
      • 470
      • 338
      • 377
      • 387
      • 408
      • 331
  • (i)
    387.36
  • (ii)
    387.55
  • (iii)
    387.45
  • (iv)
    388.36
  • (v)
    389.36
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
      • 12
      • 4
      • 5
      • 16
      • 43
      • 43
    • is
  • (i)
    20.5
  • (ii)
    22.5
  • (iii)
    18.5
  • (iv)
    21.5
  • (v)
    19.5
Question 28
28.
    • If the mean of
    • 4
    • samples is
    • 19
    • ,
    • what is the new mean if
    • 4
    • is added to each number.
  • (i)
    21
  • (ii)
    23
  • (iii)
    25
  • (iv)
    24
  • (v)
    22
Question 29
29.
    • If the mean of
    • 5
    • samples is
    • 22
    • ,
    • what is the new mean if
    • 5
    • is subtracted from each number.
  • (i)
    14
  • (ii)
    16
  • (iii)
    18
  • (iv)
    17
  • (v)
    19
Question 30
30.
    • If the mean of
    • 7
    • samples is
    • 15
      4

      7
    • ,
    • what is the new mean if each number is multiplied by
    • 4
    • .
  • (i)
    438

    7
  • (ii)
    436

    7
  • (iii)
    312

    5
  • (iv)
    560

    9
  • (v)
    62
Question 31
31.
    • The mean of
    • 5
    • numbers is
    • 8
      2

      5
    • .
    • Upon
    • excluding
    • one number,
    • the mean becomes
    • 6
      1

      2
    • .
    • Find the
    • excluded
    • number.
  • (i)
    15
  • (ii)
    14
  • (iii)
    16
  • (iv)
    18
  • (v)
    17
Question 32
32.
    • The mean of
    • 5
    • numbers is
    • 10
      1

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

      3
    • .
    • Find the
    • included
    • number.
  • (i)
    2
  • (ii)
    6
  • (iii)
    4
  • (iv)
    7
  • (v)
    5
Question 33
33.
    • The mean of the below random sample is
    • 33
      9

      10
    • .
    • Find the missing quantity.
      • 42
      • 38
      • 40
      • x
      • 48
      • 44
      • 27
      • 26
      • 26
      • 22
  • (i)
    26
  • (ii)
    27
  • (iii)
    23
  • (iv)
    28
  • (v)
    25
    Assignment Key

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