EduSahara™ Assignment
Name : Arithmetic Mean
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
    • If the mean of
      • 7
      • 3
    • x
      • 6
      • 8
    • is
    • 5
      3

      5
    • ,
    • find the value of x.
  • (i)
    6
  • (ii)
    3
  • (iii)
    1
  • (iv)
    5
  • (v)
    4
Question 2
2.
    • The mean of the below random sample is
    • 28
      7

      10
    • .
    • Find the missing quantity.
      • 44
      • 34
      • 31
      • 18
      • 46
      • x
      • 20
      • 27
      • 31
      • 19
  • (i)
    14
  • (ii)
    17
  • (iii)
    20
  • (iv)
    16
  • (v)
    18
Question 3
3.
    • Given the mean of
    • 14
    • samples as
    • 9
      1

      14
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 11
    • ?
  • (i)
    67

    7
  • (ii)
    69

    7
  • (iii)
    29

    3
  • (iv)
    71

    7
  • (v)
    51

    5
Question 4
4.
    • Given the mean of
    • 12
    • samples as
    • 9
      3

      4
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 13
    • ?
  • (i)
    42

    5
  • (ii)
    8
  • (iii)
    28

    3
  • (iv)
    26

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

      5
    • ,
    • what is the new mean if two samples
    • 3
    • and
    • 6
    • are added ?
  • (i)
    19

    4
  • (ii)
    11

    2
  • (iii)
    21

    4
  • (iv)
    9

    2
  • (v)
    17

    4
Question 6
6.
    • Given the mean of
    • 12
    • samples as
    • 6
      2

      3
    • ,
    • what is the new mean if two samples
    • 10
    • and
    • 7
    • are removed ?
  • (i)
    25

    4
  • (ii)
    61

    10
  • (iii)
    13

    2
  • (iv)
    63

    10
  • (v)
    51

    8
Question 7
7.
Find the mean of all prime numbers between 40 and 90.
  • (i)
    385

    6
  • (ii)
    383

    6
  • (iii)
    509

    8
  • (iv)
    257

    4
  • (v)
    127

    2
Question 8
8.
Find the mean of all prime numbers between 30 and 70.
  • (i)
    439

    9
  • (ii)
    437

    9
  • (iii)
    49
  • (iv)
    535

    11
Question 9
9.
Find the mean of first 7 multiples of 17.
  • (i)
    67
  • (ii)
    69
  • (iii)
    65
  • (iv)
    68
  • (v)
    70
Question 10
10.
Find the mean of first 10 whole numbers.
  • (i)
    9

    2
  • (ii)
    5
  • (iii)
    11

    2
  • (iv)
    7

    2
  • (v)
    17

    4
Question 11
11.
Find the mean of first 8 multiples of 6.
  • (i)
    28
  • (ii)
    30
  • (iii)
    27
  • (iv)
    24
  • (v)
    26
Question 12
12.
Find the mean of the first 20 odd numbers.
  • (i)
    20
  • (ii)
    22
  • (iii)
    18
  • (iv)
    19
  • (v)
    21
Question 13
13.
Find the mean of the first 10 even numbers.
  • (i)
    11
  • (ii)
    8
  • (iii)
    12
  • (iv)
    14
  • (v)
    10
Question 14
14.
    • The marks obtained by 13 students in a test are given below. Find their mean marks.
      • 2
      • 3
      • 49
      • 30
      • 9
      • 30
      • 15
      • 6
      • 42
      • 42
      • 25
      • 14
      • 39
  • (i)
    260

    11
  • (ii)
    304

    13
  • (iii)
    352

    15
  • (iv)
    306

    13
  • (v)
    308

    13
Question 15
15.
    • 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 increased by 3.
      • 5
      • 20
      • 39
      • 24
      • 15
      • 24
      • 3
      • 43
      • 50
      • 16
      • 11
      • 14
      • 42
      • 29
      • 10
  • (i)
    28
  • (ii)
    27
  • (iii)
    26
  • (iv)
    23
  • (v)
    25
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 4.
      • 30
      • 38
      • 37
      • 1
      • 17
      • 34
      • 28
      • 34
      • 23
      • 37
      • 3
      • 7
      • 15
      • 49
  • (i)
    339

    16
  • (ii)
    297

    14
  • (iii)
    295

    14
  • (iv)
    299

    14
  • (v)
    85

    4
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.
      • 35
      • 40
      • 6
      • 45
      • 9
      • 13
      • 38
      • 3
      • 28
      • 3
      • 47
  • (i)
    630

    13
  • (ii)
    532

    11
  • (iii)
    146

    3
  • (iv)
    534

    11
  • (v)
    536

    11
Question 18
18.
    • Heights of 12 students (in cm) are given below. Find the mean height.
      • 161
      • 149
      • 159
      • 152
      • 148
      • 160
      • 133
      • 139
      • 152
      • 169
      • 133
      • 147
  • (i)
    907

    6
    cm
  • (ii)
    913

    6
    cm
  • (iii)
    451

    3
    cm
  • (iv)
    301

    2
    cm
  • (v)
    901

    6
    cm
Question 19
19.
    • Heights of 10 plants (in cm) are given below. Find the mean height.
      • 96
      • 51
      • 72
      • 54
      • 98
      • 66
      • 51
      • 100
      • 82
      • 82
  • (i)
    378

    5
    cm
  • (ii)
    381

    5
    cm
  • (iii)
    377

    5
    cm
  • (iv)
    376

    5
    cm
  • (v)
    386

    5
    cm
Question 20
20.
    • Ages of 13 students (in years) are given below. Find the mean age.
      • 15
      • 14
      • 14
      • 14
      • 10
      • 10
      • 15
      • 14
      • 12
      • 10
      • 11
      • 13
      • 12
  • (i)
    190

    13
    years
  • (ii)
    177

    13
    years
  • (iii)
    166

    13
    years
  • (iv)
    165

    13
    years
  • (v)
    164

    13
    years
Question 21
21.
    • Rainfall of 11 days (in mm) are given below. Find the mean rainfall.
      • 14
      • 6
      • 5
      • 13
      • 12
      • 6
      • 6
      • 8
      • 13
      • 9
      • 8
  • (i)
    111

    11
    mm
  • (ii)
    101

    11
    mm
  • (iii)
    122

    11
    mm
  • (iv)
    102

    11
    mm
  • (v)
    100

    11
    mm
Question 22
22.
    • Scores of 15 students are given below. Find the mean score.
      • 71
      • 76
      • 71
      • 86
      • 82
      • 77
      • 82
      • 80
      • 83
      • 70
      • 83
      • 80
      • 77
      • 70
      • 81
  • (i)
    1169

    15
  • (ii)
    1184

    15
  • (iii)
    1171

    15
  • (iv)
    1199

    15
  • (v)
    78
Question 23
23.
    • Temperatures of 11 days (in °C) are given below. Find the mean temperature.
      • 29
      • 28
      • 26
      • 30
      • 30
      • 28
      • 28
      • 25
      • 29
      • 29
      • 28
  • (i)
    310

    11
    °C
  • (ii)
    321

    11
    °C
  • (iii)
    311

    11
    °C
  • (iv)
    332

    11
    °C
  • (v)
    312

    11
    °C
Question 24
24.
    • Weights of 14 students (in kg) are given below. Find the mean weight.
      • 50
      • 46
      • 55
      • 57
      • 58
      • 43
      • 58
      • 56
      • 52
      • 51
      • 45
      • 45
      • 44
      • 47
  • (i)
    105

    2
    kg
  • (ii)
    51
    kg
  • (iii)
    101

    2
    kg
  • (iv)
    103

    2
    kg
Question 25
25.
    • Daily wages of 13 labourers (in ₹) are given below. Find the mean wage.
      • 457
      • 377
      • 388
      • 461
      • 370
      • 348
      • 383
      • 410
      • 462
      • 360
      • 437
      • 421
      • 476
  • (i)
    411.54
  • (ii)
    412.54
  • (iii)
    411.69
  • (iv)
    413.54
  • (v)
    411.62
Question 26
26.
    • If the mean of
    • 4
    • samples is
    • 22
    • ,
    • what is the new mean if
    • 9
    • is added to each number.
  • (i)
    34
  • (ii)
    28
  • (iii)
    31
  • (iv)
    30
  • (v)
    32
Question 27
27.
    • If the mean of
    • 4
    • samples is
    • 21
      1

      4
    • ,
    • what is the new mean if
    • 6
    • is subtracted from each number.
  • (i)
    31

    2
  • (ii)
    59

    4
  • (iii)
    63

    4
  • (iv)
    91

    6
  • (v)
    61

    4
Question 28
28.
    • If the mean of
    • 7
    • samples is
    • 29
      2

      7
    • ,
    • what is the new mean if each number is multiplied by
    • 3
    • .
  • (i)
    441

    5
  • (ii)
    263

    3
  • (iii)
    613

    7
  • (iv)
    617

    7
  • (v)
    615

    7
Question 29
29.
    • The mean of
    • 8
    • numbers is
    • 8
      1

      2
    • .
    • Upon
    • excluding
    • one number,
    • the mean becomes
    • 9
    • .
    • Find the
    • excluded
    • number.
  • (i)
    6
  • (ii)
    3
  • (iii)
    5
  • (iv)
    8
  • (v)
    4
Question 30
30.
    • The mean of
    • 5
    • numbers is
    • 11
      3

      5
    • .
    • Upon
    • adding
    • one number,
    • the mean becomes
    • 12
      2

      3
    • .
    • Find the
    • included
    • number.
  • (i)
    21
  • (ii)
    16
  • (iii)
    18
  • (iv)
    19
  • (v)
    17
Question 31
31.
    • The scores obtained by 9 students in a test are given below. Find the mean score.
      • 9
      • 10
      • 2
      • 2
      • 18
      • 13
      • 17
      • 9
      • 13
  • (i)
    10
  • (ii)
    16
  • (iii)
    10
    1

    3
  • (iv)
    2
  • (v)
    18
Question 32
32.
The arithmetic mean of a + 2, a, and a - 2 is
  • (i)
    3a
  • (ii)
    a
  • (iii)
    a - 2
  • (iv)
    a + 2
Question 33
33.
    • The arithmetic mean of
      • 2
      • 47
      • 46
      • 10
      • 12
    • is
  • (i)
    22.4
  • (ii)
    23.4
  • (iii)
    24.4
  • (iv)
    25.4
  • (v)
    21.4
    Assignment Key

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