EduSahara™ Assignment
Name : Mean of Grouped Data
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Heights of 10 students are given below. Find the mean.
    • Height (in cm)
      130
      146
      150
      162
      169
      No. of students
      1
      1
      3
      3
      2
  • (i)
    153
    cm
  • (ii)
    156
    cm
  • (iii)
    154
    cm
  • (iv)
    157
    cm
  • (v)
    155
    cm
Question 2
2.
    • Heights of 20 plants are given below. Find the mean.
    • Height (in cm)
      50
      51
      64
      67
      80
      81
      82
      84
      92
      93
      100
      No. of plants
      2
      2
      1
      1
      2
      1
      2
      3
      3
      1
      2
  • (i)
    78
    cm
  • (ii)
    1561

    20
    cm
  • (iii)
    1579

    20
    cm
  • (iv)
    1599

    20
    cm
  • (v)
    1559

    20
    cm
Question 3
3.
    • Ages of 25 students are given below. Find the mean.
    • Age (in years)
      10
      11
      12
      13
      14
      No. of students
      4
      8
      5
      5
      3
  • (i)
    69

    5
    years
  • (ii)
    61

    5
    years
  • (iii)
    59

    5
    years
  • (iv)
    12
    years
  • (v)
    64

    5
    years
Question 4
4.
    • Scores of 15 students are given below. Find the mean.
    • Score
      73
      74
      76
      78
      79
      84
      85
      88
      No. of students
      1
      2
      2
      1
      2
      3
      3
      1
  • (i)
    402

    5
  • (ii)
    1204

    15
  • (iii)
    1219

    15
  • (iv)
    1234

    15
  • (v)
    241

    3
Question 5
5.
    • Rainfall of 15 days are given below. Find the mean.
    • Rainfall (in mm)
      5
      6
      7
      10
      11
      13
      14
      15
      No. of days
      2
      3
      1
      2
      2
      3
      1
      1
  • (i)
    35

    3
    mm
  • (ii)
    10
    mm
  • (iii)
    32

    3
    mm
  • (iv)
    29

    3
    mm
  • (v)
    31

    3
    mm
Question 6
6.
    • Temperatures of 30 days are given below. Find the mean.
    • Temperature (in degree C)
      25
      26
      27
      28
      29
      30
      31
      32
      33
      34
      35
      No. of days
      1
      4
      1
      2
      2
      2
      2
      4
      5
      4
      3
  • (i)
    478

    15
    °C
  • (ii)
    464

    15
    °C
  • (iii)
    31
    °C
  • (iv)
    463

    15
    °C
  • (v)
    493

    15
    °C
Question 7
7.
    • Weights of 25 students are given below. Find the mean.
    • Weight (in kg)
      40
      50
      54
      56
      57
      No. of students
      3
      6
      4
      7
      5
  • (i)
    1363

    25
    kg
  • (ii)
    1314

    25
    kg
  • (iii)
    1313

    25
    kg
  • (iv)
    1338

    25
    kg
  • (v)
    263

    5
    kg
Question 8
8.
    • Wages of 25 labourers are given below. Find the mean.
    • Wage (in rupees)
      327
      381
      385
      414
      442
      457
      482
      No. of labourers
      4
      9
      2
      3
      5
      1
      1
  • (i)
    397.92
  • (ii)
    395.92
  • (iii)
    396.92
  • (iv)
    396.00
  • (v)
    395.96
Question 9
9.
    • The following table shows the weights of
    • 98
    • persons in a group.
    • Find the
    • mean weight.
    • Weight (in kg)
      40 - 45
      46 - 51
      52 - 57
      58 - 63
      64 - 69
      70 - 75
      76 - 81
      82 - 87
      No. of persons
      10
      16
      17
      18
      5
      10
      14
      8
  • (i)
    6049

    98
    kg
  • (ii)
    3025

    49
    kg
  • (iii)
    6147

    98
    kg
  • (iv)
    6245

    98
    kg
  • (v)
    6051

    98
    kg
Question 10
10.
    • The following table shows the weights of
    • 73
    • persons in a group.
    • Find the
    • mean weight.
    • Weight (in kg)
      10 - 15
      15 - 20
      20 - 25
      25 - 30
      30 - 35
      35 - 40
      No. of persons
      14
      5
      9
      15
      13
      17
  • (i)
    3875

    146
    kg
  • (ii)
    4167

    146
    kg
  • (iii)
    3877

    146
    kg
  • (iv)
    1938

    73
    kg
  • (v)
    4021

    146
    kg
Question 11
11.
    • The daily wages of
    • 166
    • workers in a factory are given below.
    • Find the
    • mean wage.
    • Wage (in rupees)
      30 - 39
      40 - 49
      50 - 59
      60 - 69
      70 - 79
      80 - 89
      90 - 99
      100 - 109
      No. of workers
      8
      25
      22
      7
      29
      27
      28
      20
  • (i)
    73.61
  • (ii)
    75.60
  • (iii)
    74.60
  • (iv)
    73.60
Question 12
12.
    • The daily wages of
    • 83
    • workers in a factory are given below.
    • Find the
    • mean wage.
    • Wage (in rupees)
      20 - 27
      27 - 34
      34 - 41
      41 - 48
      48 - 55
      55 - 62
      No. of workers
      12
      5
      15
      9
      30
      12
  • (i)
    43.92
  • (ii)
    45.91
  • (iii)
    43.91
  • (iv)
    44.91
Question 13
13.
    • A frequency distribution table is given below.
    • Find the
    • mean .
    • Class-Interval
      5 - 13
      14 - 22
      23 - 31
      32 - 40
      41 - 49
      Frequency
      25
      43
      24
      49
      45
  • (i)
    906

    31
  • (ii)
    968

    31
  • (iii)
    907

    31
  • (iv)
    937

    31
  • (v)
    908

    31
Question 14
14.
    • A frequency distribution table is given below.
    • Find the
    • mean .
    • Class-Interval
      1 - 7
      7 - 13
      13 - 19
      19 - 25
      25 - 31
      31 - 37
      37 - 43
      Frequency
      17
      11
      10
      30
      29
      34
      15
  • (i)
    1784

    73
  • (ii)
    1856

    73
  • (iii)
    1929

    73
  • (iv)
    1785

    73
  • (v)
    1783

    73
Question 15
15.
    • The following frequency distribution table gives
    • the monthly consumption of electricity of
    • 96
    • consumers in a locality.
    • Find the
    • mean units.
    • Monthly consumption (in units)
      74 - 94
      94 - 114
      114 - 134
      134 - 154
      154 - 174
      174 - 194
      194 - 214
      No. of consumers
      14
      15
      8
      11
      10
      18
      20
  • (i)
    1817

    12
    units
  • (ii)
    299

    2
    units
  • (iii)
    1805

    12
    units
  • (iv)
    1793

    12
    units
  • (v)
    1795

    12
    units
Question 16
16.
    • The histogram given below represents the marks obtained by some candidates in an examination.
    • Using data in the diagram, calculate the
    • mean
    • marks.
  • (i)
    54.32
  • (ii)
    58.32
  • (iii)
    56.32
  • (iv)
    57.32
  • (v)
    55.32
    Assignment Key

  •  1) (v)
  •  2) (v)
  •  3) (iii)
  •  4) (ii)
  •  5) (iv)
  •  6) (iv)
  •  7) (iii)
  •  8) (ii)
  •  9) (i)
  •  10) (i)
  •  11) (iv)
  •  12) (iii)
  •  13) (i)
  •  14) (v)
  •  15) (iv)
  •  16) (iii)