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 14 students in a test are given below. Find the mean score.
      • 20
      • 16
      • 1
      • 1
      • 5
      • 15
      • 3
      • 16
      • 8
      • 9
      • 16
      • 18
      • 13
      • 5
  • (i)
    11
  • (ii)
    10
    3

    7
  • (iii)
    19
  • (iv)
    16
  • (v)
    1
Question 2
2.
    • If the mean of
      • 8
      • 6
    • x
      • 3
      • 2
    • is
    • 5
      3

      5
    • ,
    • find the value of x.
  • (i)
    9
  • (ii)
    12
  • (iii)
    8
  • (iv)
    10
  • (v)
    7
Question 3
3.
    • Given the mean of
    • 9
    • samples as
    • 8
      2

      3
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 11
    • ?
  • (i)
    91

    9
  • (ii)
    29

    3
  • (iii)
    89

    9
  • (iv)
    107

    11
  • (v)
    71

    7
Question 4
4.
    • Given the mean of
    • 12
    • samples as
    • 12
      1

      2
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 20
    • ?
  • (i)
    45

    4
  • (ii)
    85

    8
  • (iii)
    65

    6
  • (iv)
    67

    6
  • (v)
    21

    2
Question 5
5.
    • Given the mean of
    • 10
    • samples as
    • 6
      3

      10
    • ,
    • what is the new mean if two samples
    • 1
    • and
    • 8
    • are added ?
  • (i)
    3
  • (ii)
    9
  • (iii)
    6
  • (iv)
    7
  • (v)
    5
Question 6
6.
    • Given the mean of
    • 12
    • samples as
    • 5
      7

      12
    • ,
    • what is the new mean if two samples
    • 5
    • and
    • 5
    • are removed ?
  • (i)
    57

    10
  • (ii)
    11

    2
  • (iii)
    47

    8
  • (iv)
    67

    12
  • (v)
    59

    10
Question 7
7.
Find the mean of all prime numbers between 20 and 70.
  • (i)
    489

    11
  • (ii)
    579

    13
  • (iii)
    403

    9
  • (iv)
    493

    11
  • (v)
    491

    11
Question 8
8.
Find the mean of all prime numbers between 40 and 60.
  • (i)
    243

    5
  • (ii)
    49
  • (iii)
    241

    5
  • (iv)
    339

    7
Question 9
9.
Find the mean of first 7 multiples of 5.
  • (i)
    19
  • (ii)
    18
  • (iii)
    21
  • (iv)
    20
  • (v)
    23
Question 10
10.
Find the mean of first 10 whole numbers.
  • (i)
    9

    2
  • (ii)
    11

    2
  • (iii)
    17

    4
  • (iv)
    7

    2
  • (v)
    5
Question 11
11.
Find the mean of first 7 multiples of 3.
  • (i)
    13
  • (ii)
    11
  • (iii)
    15
  • (iv)
    12
  • (v)
    10
Question 12
12.
Find the mean of the first 15 odd numbers.
  • (i)
    15
  • (ii)
    12
  • (iii)
    14
  • (iv)
    16
  • (v)
    17
Question 13
13.
Find the mean of the first 15 even numbers.
  • (i)
    16
  • (ii)
    17
  • (iii)
    19
  • (iv)
    14
  • (v)
    15
Question 14
14.
    • The marks obtained by 11 students in a test are given below. Find their mean marks.
      • 39
      • 37
      • 32
      • 37
      • 12
      • 3
      • 28
      • 28
      • 7
      • 10
      • 47
  • (i)
    230

    9
  • (ii)
    330

    13
  • (iii)
    278

    11
  • (iv)
    280

    11
  • (v)
    282

    11
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 1.
      • 11
      • 26
      • 5
      • 48
      • 28
      • 13
      • 35
      • 25
      • 7
      • 5
      • 15
      • 9
  • (i)
    241

    12
  • (ii)
    239

    12
  • (iii)
    201

    10
  • (iv)
    277

    14
  • (v)
    79

    4
Question 16
16.
    • 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 decreased by 1.
      • 37
      • 4
      • 22
      • 9
      • 22
      • 29
      • 5
      • 21
      • 31
      • 46
      • 22
      • 26
  • (i)
    133

    6
  • (ii)
    173

    8
  • (iii)
    43

    2
  • (iv)
    89

    4
  • (v)
    131

    6
Question 17
17.
    • 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 doubled.
      • 34
      • 35
      • 28
      • 24
      • 20
      • 21
      • 31
      • 2
      • 14
      • 31
  • (i)
    47
  • (ii)
    46
  • (iii)
    48
  • (iv)
    51
  • (v)
    49
Question 18
18.
    • Heights of 12 students (in cm) are given below. Find the mean height.
      • 168
      • 149
      • 170
      • 145
      • 149
      • 147
      • 156
      • 128
      • 151
      • 161
      • 128
      • 159
  • (i)
    1823

    12
    cm
  • (ii)
    151
    cm
  • (iii)
    1811

    12
    cm
  • (iv)
    1813

    12
    cm
  • (v)
    1835

    12
    cm
Question 19
19.
    • Heights of 14 plants (in cm) are given below. Find the mean height.
      • 57
      • 79
      • 52
      • 73
      • 69
      • 70
      • 64
      • 79
      • 64
      • 84
      • 78
      • 67
      • 84
      • 92
  • (i)
    520

    7
    cm
  • (ii)
    507

    7
    cm
  • (iii)
    513

    7
    cm
  • (iv)
    506

    7
    cm
  • (v)
    508

    7
    cm
Question 20
20.
    • Ages of 13 students (in years) are given below. Find the mean age.
      • 14
      • 15
      • 13
      • 14
      • 11
      • 15
      • 10
      • 15
      • 15
      • 12
      • 10
      • 14
      • 10
  • (i)
    170

    13
    years
  • (ii)
    168

    13
    years
  • (iii)
    194

    13
    years
  • (iv)
    181

    13
    years
  • (v)
    13
    years
Question 21
21.
    • Rainfall of 10 days (in mm) are given below. Find the mean rainfall.
      • 7
      • 6
      • 7
      • 14
      • 13
      • 14
      • 15
      • 10
      • 7
      • 6
  • (i)
    99

    10
    mm
  • (ii)
    10
    mm
  • (iii)
    101

    10
    mm
  • (iv)
    109

    10
    mm
  • (v)
    119

    10
    mm
Question 22
22.
    • Scores of 14 students are given below. Find the mean score.
      • 75
      • 78
      • 72
      • 72
      • 80
      • 71
      • 87
      • 79
      • 81
      • 88
      • 82
      • 90
      • 72
      • 79
  • (i)
    80
  • (ii)
    81
  • (iii)
    77
  • (iv)
    79
  • (v)
    78
Question 23
23.
    • Temperatures of 13 days (in °C) are given below. Find the mean temperature.
      • 28
      • 30
      • 28
      • 29
      • 27
      • 33
      • 32
      • 26
      • 29
      • 28
      • 28
      • 26
      • 27
  • (i)
    384

    13
    °C
  • (ii)
    371

    13
    °C
  • (iii)
    373

    13
    °C
  • (iv)
    372

    13
    °C
  • (v)
    397

    13
    °C
Question 24
24.
    • Weights of 15 students (in kg) are given below. Find the mean weight.
      • 44
      • 46
      • 60
      • 56
      • 40
      • 54
      • 54
      • 45
      • 41
      • 41
      • 53
      • 53
      • 55
      • 42
      • 45
  • (i)
    244

    5
    kg
  • (ii)
    253

    5
    kg
  • (iii)
    243

    5
    kg
  • (iv)
    49
    kg
  • (v)
    248

    5
    kg
Question 25
25.
    • Daily wages of 14 labourers (in ₹) are given below. Find the mean wage.
      • 304
      • 399
      • 351
      • 390
      • 355
      • 481
      • 335
      • 441
      • 419
      • 427
      • 497
      • 398
      • 402
      • 352
  • (i)
    397.00
  • (ii)
    398.50
  • (iii)
    396.50
  • (iv)
    397.50
Question 26
26.
The arithmetic mean of a + 2, a, and a - 2 is
  • (i)
    a + 2
  • (ii)
    3a
  • (iii)
    a
  • (iv)
    a - 2
Question 27
27.
    • The arithmetic mean of
      • 5
      • 45
      • 1
      • 30
      • 35
      • 36
    • is
  • (i)
    25.33
  • (ii)
    24.33
  • (iii)
    23.33
  • (iv)
    27.33
  • (v)
    26.33
Question 28
28.
    • If the mean of
    • 7
    • samples is
    • 14
      6

      7
    • ,
    • what is the new mean if
    • 7
    • is added to each number.
  • (i)
    153

    7
  • (ii)
    155

    7
  • (iii)
    151

    7
  • (iv)
    111

    5
  • (v)
    65

    3
Question 29
29.
    • If the mean of
    • 8
    • samples is
    • 19
      1

      4
    • ,
    • what is the new mean if
    • 7
    • is subtracted from each number.
  • (i)
    49

    4
  • (ii)
    47

    4
  • (iii)
    25

    2
  • (iv)
    51

    4
  • (v)
    73

    6
Question 30
30.
    • If the mean of
    • 7
    • samples is
    • 20
      1

      7
    • ,
    • what is the new mean if each number is multiplied by
    • 7
    • .
  • (i)
    139
  • (ii)
    143
  • (iii)
    142
  • (iv)
    141
  • (v)
    140
Question 31
31.
    • The mean of
    • 8
    • numbers is
    • 6
      1

      4
    • .
    • Upon
    • excluding
    • one number,
    • the mean becomes
    • 7
    • .
    • Find the
    • excluded
    • number.
  • (i)
    -2
  • (ii)
    1
  • (iii)
    2
  • (iv)
    0
  • (v)
    4
Question 32
32.
    • The mean of
    • 8
    • numbers is
    • 9
      7

      8
    • .
    • Upon
    • adding
    • one number,
    • the mean becomes
    • 10
      8

      9
    • .
    • Find the
    • included
    • number.
  • (i)
    18
  • (ii)
    17
  • (iii)
    20
  • (iv)
    19
  • (v)
    22
Question 33
33.
    • The mean of the below random sample is
    • 25
      9

      10
    • .
    • Find the missing quantity.
      • x
      • 32
      • 49
      • 14
      • 12
      • 24
      • 10
      • 34
      • 39
      • 28
  • (i)
    20
  • (ii)
    14
  • (iii)
    17
  • (iv)
    18
  • (v)
    16
    Assignment Key

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