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 9 students in a test are given below. Find the mean score.
      • 8
      • 5
      • 9
      • 17
      • 13
      • 16
      • 2
      • 14
      • 8
  • (i)
    17
  • (ii)
    2
  • (iii)
    9
  • (iv)
    15
  • (v)
    10
    2

    9
Question 2
2.
    • If the mean of
      • 1
      • 3
    • x
      • 5
      • 2
    • is
    • 4
      1

      5
    • ,
    • find the value of x.
  • (i)
    12
  • (ii)
    9
  • (iii)
    11
  • (iv)
    10
  • (v)
    8
Question 3
3.
    • Given the mean of
    • 10
    • samples as
    • 9
      2

      5
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 17
    • ?
  • (i)
    113

    10
  • (ii)
    89

    8
  • (iii)
    133

    12
  • (iv)
    111

    10
  • (v)
    109

    10
Question 4
4.
    • Given the mean of
    • 14
    • samples as
    • 9
      13

      14
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 13
    • ?
  • (i)
    9
  • (ii)
    7
  • (iii)
    12
  • (iv)
    8
  • (v)
    10
Question 5
5.
    • Given the mean of
    • 10
    • samples as
    • 6
      1

      2
    • ,
    • what is the new mean if two samples
    • 9
    • and
    • 10
    • are added ?
  • (i)
    6
  • (ii)
    10
  • (iii)
    5
  • (iv)
    8
  • (v)
    7
Question 6
6.
    • Given the mean of
    • 12
    • samples as
    • 4
      7

      12
    • ,
    • what is the new mean if two samples
    • 8
    • and
    • 5
    • are removed ?
  • (i)
    23

    5
  • (ii)
    29

    7
  • (iii)
    19

    5
  • (iv)
    21

    5
  • (v)
    13

    3
Question 7
7.
Find the mean of all prime numbers between 40 and 70.
  • (i)
    56
  • (ii)
    53
  • (iii)
    54
  • (iv)
    52
  • (v)
    50
Question 8
8.
Find the mean of all prime numbers between 20 and 90.
  • (i)
    553

    10
  • (ii)
    443

    8
  • (iii)
    111

    2
  • (iv)
    441

    8
  • (v)
    445

    8
Question 9
9.
Find the mean of first 7 multiples of 12.
  • (i)
    48
  • (ii)
    50
  • (iii)
    46
  • (iv)
    47
  • (v)
    49
Question 10
10.
Find the mean of first 7 whole numbers.
  • (i)
    4
  • (ii)
    0
  • (iii)
    6
  • (iv)
    3
  • (v)
    2
Question 11
11.
Find the mean of first 9 multiples of 20.
  • (i)
    99
  • (ii)
    102
  • (iii)
    100
  • (iv)
    101
  • (v)
    98
Question 12
12.
Find the mean of the first 15 odd numbers.
  • (i)
    15
  • (ii)
    16
  • (iii)
    14
  • (iv)
    13
  • (v)
    18
Question 13
13.
Find the mean of the first 20 even numbers.
  • (i)
    21
  • (ii)
    22
  • (iii)
    18
  • (iv)
    20
  • (v)
    23
Question 14
14.
    • The marks obtained by 13 students in a test are given below. Find their mean marks.
      • 17
      • 36
      • 48
      • 12
      • 48
      • 41
      • 50
      • 34
      • 25
      • 23
      • 41
      • 2
      • 3
  • (i)
    146

    5
  • (ii)
    378

    13
  • (iii)
    322

    11
  • (iv)
    382

    13
  • (v)
    380

    13
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 4.
      • 5
      • 37
      • 19
      • 21
      • 8
      • 34
      • 9
      • 46
      • 23
      • 21
  • (i)
    105

    4
  • (ii)
    263

    10
  • (iii)
    211

    8
  • (iv)
    261

    10
  • (v)
    53

    2
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 6.
      • 16
      • 27
      • 7
      • 1
      • 47
      • 26
      • 32
      • 39
      • 34
      • 17
      • 12
      • 19
      • 49
      • 22
  • (i)
    130

    7
  • (ii)
    134

    7
  • (iii)
    56

    3
  • (iv)
    132

    7
  • (v)
    96

    5
Question 17
17.
    • 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 doubled.
      • 35
      • 34
      • 2
      • 3
      • 35
      • 33
      • 47
      • 37
      • 21
      • 44
      • 31
      • 6
      • 29
      • 40
      • 6
  • (i)
    912

    17
  • (ii)
    700

    13
  • (iii)
    268

    5
  • (iv)
    806

    15
  • (v)
    808

    15
Question 18
18.
    • Heights of 11 students (in cm) are given below. Find the mean height.
      • 142
      • 140
      • 153
      • 165
      • 162
      • 154
      • 137
      • 144
      • 125
      • 168
      • 156
  • (i)
    1647

    11
    cm
  • (ii)
    1646

    11
    cm
  • (iii)
    1657

    11
    cm
  • (iv)
    1668

    11
    cm
  • (v)
    1648

    11
    cm
Question 19
19.
    • Heights of 12 plants (in cm) are given below. Find the mean height.
      • 71
      • 93
      • 78
      • 96
      • 91
      • 82
      • 64
      • 89
      • 89
      • 86
      • 61
      • 94
  • (i)
    83
    cm
  • (ii)
    499

    6
    cm
  • (iii)
    503

    6
    cm
  • (iv)
    497

    6
    cm
  • (v)
    509

    6
    cm
Question 20
20.
    • Ages of 15 students (in years) are given below. Find the mean age.
      • 14
      • 11
      • 10
      • 15
      • 15
      • 11
      • 15
      • 10
      • 12
      • 12
      • 11
      • 13
      • 11
      • 12
      • 14
  • (i)
    63

    5
    years
  • (ii)
    67

    5
    years
  • (iii)
    72

    5
    years
  • (iv)
    62

    5
    years
  • (v)
    64

    5
    years
Question 21
21.
    • Rainfall of 14 days (in mm) are given below. Find the mean rainfall.
      • 6
      • 5
      • 12
      • 15
      • 13
      • 14
      • 9
      • 12
      • 6
      • 5
      • 11
      • 12
      • 8
      • 5
  • (i)
    23

    2
    mm
  • (ii)
    19

    2
    mm
  • (iii)
    10
    mm
  • (iv)
    21

    2
    mm
Question 22
22.
    • Scores of 12 students are given below. Find the mean score.
      • 84
      • 86
      • 89
      • 77
      • 80
      • 72
      • 84
      • 70
      • 78
      • 80
      • 79
      • 84
  • (i)
    329

    4
  • (ii)
    325

    4
  • (iii)
    161

    2
  • (iv)
    321

    4
  • (v)
    323

    4
Question 23
23.
    • Temperatures of 11 days (in °C) are given below. Find the mean temperature.
      • 27
      • 31
      • 35
      • 29
      • 28
      • 35
      • 34
      • 29
      • 28
      • 31
      • 25
  • (i)
    354

    11
    °C
  • (ii)
    332

    11
    °C
  • (iii)
    343

    11
    °C
  • (iv)
    334

    11
    °C
  • (v)
    333

    11
    °C
Question 24
24.
    • Weights of 12 students (in kg) are given below. Find the mean weight.
      • 44
      • 53
      • 44
      • 44
      • 56
      • 60
      • 58
      • 47
      • 57
      • 45
      • 46
      • 45
  • (i)
    601

    12
    kg
  • (ii)
    50
    kg
  • (iii)
    611

    12
    kg
  • (iv)
    599

    12
    kg
  • (v)
    623

    12
    kg
Question 25
25.
    • Daily wages of 15 labourers (in ₹) are given below. Find the mean wage.
      • 426
      • 489
      • 343
      • 487
      • 412
      • 450
      • 485
      • 447
      • 472
      • 368
      • 445
      • 395
      • 436
      • 336
      • 341
  • (i)
    ₹
    422.27
  • (ii)
    ₹
    422.20
  • (iii)
    ₹
    424.13
  • (iv)
    ₹
    422.13
  • (v)
    ₹
    423.13
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
      • 17
      • 9
      • 46
      • 31
      • 43
      • 40
      • 39
    • is
  • (i)
    32.14
  • (ii)
    30.14
  • (iii)
    31.14
  • (iv)
    33.14
  • (v)
    34.14
Question 28
28.
    • If the mean of
    • 5
    • samples is
    • 19
      3

      5
    • ,
    • what is the new mean if
    • 10
    • is added to each number.
  • (i)
    206

    7
  • (ii)
    146

    5
  • (iii)
    148

    5
  • (iv)
    30
Question 29
29.
    • If the mean of
    • 6
    • samples is
    • 22
      1

      3
    • ,
    • what is the new mean if
    • 7
    • is subtracted from each number.
  • (i)
    44

    3
  • (ii)
    76

    5
  • (iii)
    16
  • (iv)
    46

    3
Question 30
30.
    • If the mean of
    • 5
    • samples is
    • 21
      1

      5
    • ,
    • what is the new mean if each number is multiplied by
    • 8
    • .
  • (i)
    846

    5
  • (ii)
    170
  • (iii)
    848

    5
  • (iv)
    1186

    7
Question 31
31.
    • The mean of
    • 9
    • numbers is
    • 10
    • .
    • Upon
    • excluding
    • one number,
    • the mean becomes
    • 9
      1

      2
    • .
    • Find the
    • excluded
    • number.
  • (i)
    11
  • (ii)
    14
  • (iii)
    15
  • (iv)
    13
  • (v)
    17
Question 32
32.
    • The mean of
    • 5
    • numbers is
    • 8
      2

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

      3
    • .
    • Find the
    • included
    • number.
  • (i)
    12
  • (ii)
    13
  • (iii)
    17
  • (iv)
    14
  • (v)
    15
Question 33
33.
    • The mean of the below random sample is
    • 26
      4

      5
    • .
    • Find the missing quantity.
      • 32
      • 24
      • 31
      • 15
      • x
      • 32
      • 31
      • 25
      • 36
      • 16
  • (i)
    28
  • (ii)
    25
  • (iii)
    27
  • (iv)
    26
  • (v)
    24
    Assignment Key

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