EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • If the mean of
      • 8
      • 4
      • 7
      • 3
    • x
      • 10
      • 9
      • 2
    • is
    • 6
      1

      8
    • ,
    • find the value of x.
  • (i)
    5
  • (ii)
    7
  • (iii)
    3
  • (iv)
    9
  • (v)
    6
Question 2
2.
    • Weights of 20 students are given below. Find the mean.
    • Weight (in kg)
      41
      46
      47
      49
      50
      52
      57
      58
      No. of students
      3
      3
      1
      2
      3
      4
      3
      1
  • (i)
    199

    4
    kg
  • (ii)
    1013

    20
    kg
  • (iii)
    497

    10
    kg
  • (iv)
    993

    20
    kg
  • (v)
    1033

    20
    kg
Question 3
3.
Find the mean of first 10 multiples of 3.
  • (i)
    17
  • (ii)
    35

    2
  • (iii)
    31

    2
  • (iv)
    65

    4
  • (v)
    33

    2
Question 4
4.
    • Weights of 147 students (in kg) are given below. Calculate the mean weight from the given histogram.
  • (i)
    63.47 kg
  • (ii)
    65.47 kg
  • (iii)
    55.47 kg
  • (iv)
    60.47 kg
  • (v)
    57.47 kg
Question 5
5.
Find the mean of first 8 whole numbers.
  • (i)
    7

    2
  • (ii)
    9

    2
  • (iii)
    5

    2
  • (iv)
    13

    4
  • (v)
    4
Question 6
6.
    • Heights of 137 students (in cm) are given below. Calculate the mean height from the given histogram.
  • (i)
    161.34 cm
  • (ii)
    113.34 cm
  • (iii)
    152.34 cm
  • (iv)
    124.34 cm
  • (v)
    136.34 cm
Question 7
7.
    • The following frequency distribution table gives
    • the monthly consumption of electricity of
    • 112
    • consumers in a locality.
    • Find the
    • mean units.
    • Monthly consumption (in units)
      79 - 99
      99 - 119
      119 - 139
      139 - 159
      159 - 179
      179 - 199
      No. of consumers
      24
      21
      23
      12
      21
      11
  • (i)
    1853

    14
    units
  • (ii)
    1865

    14
    units
  • (iii)
    1879

    14
    units
  • (iv)
    926

    7
    units
  • (v)
    1851

    14
    units
Question 8
8.
The histogram given below shows the number of illiterate persons of different age groups in a town. Using the data in the diagram, calculate the mean age
  • (i)
    64.09 years
  • (ii)
    65.09 years
  • (iii)
    63.09 years
  • (iv)
    62.09 years
  • (v)
    61.09 years
Question 9
9.
    • Heights of 15 students (in cm) are given below. Find the mean height.
      • 166
      • 150
      • 128
      • 173
      • 135
      • 150
      • 140
      • 126
      • 142
      • 148
      • 143
      • 151
      • 132
      • 159
      • 141
  • (i)
    729

    5
    cm
  • (ii)
    738

    5
    cm
  • (iii)
    733

    5
    cm
  • (iv)
    728

    5
    cm
  • (v)
    146
    cm
Question 10
10.
    • The marks obtained by 43 students of a class in an examination is given below. Calculate the mean mark correct to 2 decimal places.
    • Marks
      less than 20
      less than 25
      less than 30
      less than 35
      less than 40
      less than 45
      No. of students
      5
      14
      21
      29
      38
      43
  • (i)
    33.06
  • (ii)
    25.06
  • (iii)
    30.06
  • (iv)
    35.06
  • (v)
    27.06
Question 11
11.
The histogram given below represents the marks obtained by some candidates in an examination. Using the data in the diagram, calculate the mean marks
  • (i)
    54
  • (ii)
    56
  • (iii)
    52
  • (iv)
    53
  • (v)
    55
Question 12
12.
    • The histogram given below represents the marks obtained by some candidates in an examination.
    • Using data in the diagram, calculate the
    • mean
    • marks.
  • (i)
    47.98
  • (ii)
    45.98
  • (iii)
    46.98
  • (iv)
    49.98
  • (v)
    48.98
Question 13
13.
    • Weights of 13 students (in kg) are given below. Find the mean weight.
      • 41
      • 48
      • 40
      • 54
      • 51
      • 43
      • 42
      • 60
      • 55
      • 52
      • 51
      • 45
      • 53
  • (i)
    661

    13
    kg
  • (ii)
    635

    13
    kg
  • (iii)
    636

    13
    kg
  • (iv)
    49
    kg
  • (v)
    648

    13
    kg
Question 14
14.
    • Daily wages of 250 labourers (in ₹) are given below. Calculate the mean wage from the given histogram.
  • (i)
    ₹253.92
  • (ii)
    ₹264.92
  • (iii)
    ₹212.92
  • (iv)
    ₹228.92
  • (v)
    ₹240.92
Question 15
15.
    • The marks obtained by 13 students in a test are given below. Find the mean of their marks when the marks of each student is increased by 3.
      • 41
      • 29
      • 29
      • 46
      • 28
      • 38
      • 37
      • 17
      • 48
      • 37
      • 25
      • 22
      • 4
  • (i)
    438

    13
  • (ii)
    506

    15
  • (iii)
    440

    13
  • (iv)
    34
Question 16
16.
    • Rainfall of 30 days are given below. Find the mean.
    • Rainfall (in mm)
      5
      6
      7
      8
      9
      10
      11
      12
      13
      14
      15
      No. of days
      1
      3
      3
      2
      3
      2
      5
      2
      1
      3
      5
  • (i)
    32

    3
    mm
  • (ii)
    158

    15
    mm
  • (iii)
    173

    15
    mm
  • (iv)
    53

    5
    mm
  • (v)
    188

    15
    mm
Question 17
17.
    • Daily wages of 15 labourers (in ₹) are given below. Find the mean wage.
      • 496
      • 396
      • 358
      • 474
      • 431
      • 424
      • 453
      • 328
      • 481
      • 487
      • 487
      • 452
      • 371
      • 469
      • 457
  • (i)
    437.80
  • (ii)
    439.60
  • (iii)
    438.60
  • (iv)
    437.60
  • (v)
    438.00
Question 18
18.
    • Ages of 143 students (in years) are given below. Calculate the mean age from the given histogram.
  • (i)
    32.85 years
  • (ii)
    35.85 years
  • (iii)
    37.85 years
  • (iv)
    29.85 years
  • (v)
    27.85 years
Question 19
19.
    • Scores of 11 students are given below. Find the mean score.
      • 83
      • 70
      • 81
      • 77
      • 85
      • 71
      • 90
      • 70
      • 90
      • 71
      • 72
  • (i)
    861

    11
  • (ii)
    882

    11
  • (iii)
    860

    11
  • (iv)
    862

    11
  • (v)
    871

    11
Question 20
20.
    • If the mean of
    • 6
    • samples is
    • 29
      1

      2
    • ,
    • what is the new mean if each number is multiplied by
    • 9
    • .
  • (i)
    1061

    4
  • (ii)
    529

    2
  • (iii)
    531

    2
  • (iv)
    533

    2
  • (v)
    266
Question 21
21.
    • Rainfall of 15 days (in mm) are given below. Find the mean rainfall.
      • 6
      • 5
      • 10
      • 6
      • 6
      • 5
      • 13
      • 13
      • 14
      • 5
      • 5
      • 12
      • 9
      • 9
      • 9
  • (i)
    157

    15
    mm
  • (ii)
    142

    15
    mm
  • (iii)
    127

    15
    mm
  • (iv)
    43

    5
    mm
  • (v)
    128

    15
    mm
Question 22
22.
    • Scores of 30 students are given below. Find the mean.
    • Score
      71
      73
      75
      78
      81
      84
      89
      90
      No. of students
      2
      5
      1
      5
      3
      8
      4
      2
  • (i)
    2453

    30
  • (ii)
    404

    5
  • (iii)
    2483

    30
  • (iv)
    485

    6
  • (v)
    2423

    30
Question 23
23.
    • Scores of 177 students are given below. Calculate the mean score from the given histogram.
  • (i)
    94.66
  • (ii)
    89.66
  • (iii)
    99.66
  • (iv)
    97.66
  • (v)
    91.66
Question 24
24.
    • Given the mean of
    • 5
    • samples as
    • 7
    • ,
    • what is the mean if a sample value is
    • increased
    • by
    • 15
    • ?
  • (i)
    11
  • (ii)
    10
  • (iii)
    9
  • (iv)
    8
  • (v)
    12
Question 25
25.
    • The mean of
    • 8
    • numbers is
    • 6
    • .
    • Upon
    • adding
    • one number,
    • the mean becomes
    • 6
      1

      9
    • .
    • Find the
    • included
    • number.
  • (i)
    8
  • (ii)
    7
  • (iii)
    6
  • (iv)
    10
  • (v)
    5
    Assignment Key

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