EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Measures of Central Tendency
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
Find the mean of first 5 multiples of 20.
  • (i)
    60
  • (ii)
    61
  • (iii)
    57
  • (iv)
    59
  • (v)
    63
Question 2
2.
    • Temperatures of 10 days (in °C) are given below. Find the mean temperature.
      • 32
      • 29
      • 32
      • 31
      • 25
      • 35
      • 35
      • 25
      • 25
      • 26
  • (i)
    61

    2
    °C
  • (ii)
    59

    2
    °C
  • (iii)
    63

    2
    °C
  • (iv)
    30
    °C
Question 3
3.
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)
    55
  • (ii)
    54
  • (iii)
    57
  • (iv)
    56
  • (v)
    58
Question 4
4.
The histogram given below represents the weights of students of a particular class. Using the data in the diagram, calculate the mean weight
  • (i)
    48.69 kg
  • (ii)
    44.69 kg
  • (iii)
    46.69 kg
  • (iv)
    47.69 kg
  • (v)
    45.69 kg
Question 5
5.
    • If the sum of the following frequency distribution is
    • 21
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      20 - 25
      3
      26 - 31
      2
      32 - 37
      9
      38 - 43
      4
      44 - 49
      x
  • (i)
    0
  • (ii)
    3
  • (iii)
    5
  • (iv)
    2
  • (v)
    4
Question 6
6.
    • Given the mean of
    • 10
    • samples as
    • 6
      3

      5
    • ,
    • what is the new mean if two samples
    • 4
    • and
    • 9
    • are added ?
  • (i)
    13

    2
  • (ii)
    27

    4
  • (iii)
    67

    10
  • (iv)
    77

    12
  • (v)
    79

    12
Question 7
7.
    • The scores obtained by 11 students in a test are given below. Find the mean score.
      • 2
      • 7
      • 1
      • 11
      • 4
      • 18
      • 19
      • 19
      • 1
      • 5
      • 9
  • (i)
    1
  • (ii)
    7
  • (iii)
    8
    8

    11
  • (iv)
    18
  • (v)
    19
Question 8
8.
The histogram given below is a study of heart patients of different age groups. Using the data in the diagram, calculate the mean age
  • (i)
    56.44 years
  • (ii)
    53.44 years
  • (iii)
    55.44 years
  • (iv)
    54.44 years
  • (v)
    57.44 years
Question 9
9.
    • If the mean of the following frequency distribution is
    • 7
      5

      9
    • ,
    • find the value of 'x'.
    • Value
      Frequency
      4
      2
      5
      6
      6
      1
      7
      4
      8
      x
      9
      3
      10
      7
      11
      1
  • (i)
    2
  • (ii)
    4
  • (iii)
    1
  • (iv)
    6
  • (v)
    3
Question 10
10.
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)
    28.50 years
  • (ii)
    30.50 years
  • (iii)
    31.50 years
  • (iv)
    29.50 years
  • (v)
    27.50 years
Question 11
11.
    • Ages of 20 students are given below. Find the mean.
    • Age (in years)
      10
      11
      12
      13
      14
      15
      No. of students
      4
      4
      4
      1
      5
      2
  • (i)
    51

    4
    years
  • (ii)
    25

    2
    years
  • (iii)
    53

    4
    years
  • (iv)
    49

    4
    years
  • (v)
    57

    4
    years
Question 12
12.
    • Heights of 12 students (in cm) are given below. Find the mean height.
      • 172
      • 133
      • 170
      • 151
      • 138
      • 129
      • 136
      • 131
      • 139
      • 152
      • 130
      • 163
  • (i)
    442

    3
    cm
  • (ii)
    436

    3
    cm
  • (iii)
    439

    3
    cm
  • (iv)
    146
    cm
  • (v)
    437

    3
    cm
Question 13
13.
    • If the mean of the following frequency distribution is
    • 26
      10

      31
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      10 - 16
      8
      17 - 23
      9
      24 - 30
      x
      31 - 37
      7
      38 - 44
      3
      45 - 51
      3
  • (i)
    1
  • (ii)
    2
  • (iii)
    3
  • (iv)
    -2
  • (v)
    0
Question 14
14.
    • Scores of 30 students are given below. Find the mean.
    • Score
      70
      72
      73
      80
      81
      83
      85
      86
      89
      No. of students
      5
      1
      5
      4
      7
      1
      3
      1
      3
  • (i)
    79
  • (ii)
    485

    6
  • (iii)
    479

    6
  • (iv)
    475

    6
  • (v)
    473

    6
Question 15
15.
    • Rainfall of 199 days (in mm) are given below. Calculate the mean rainfall from the given histogram.
  • (i)
    53.87 mm
  • (ii)
    51.87 mm
  • (iii)
    48.87 mm
  • (iv)
    45.87 mm
  • (v)
    43.87 mm
Question 16
16.
    • The marks obtained by 14 students in a test are given below. Find their mean marks.
      • 48
      • 15
      • 25
      • 17
      • 47
      • 39
      • 43
      • 38
      • 40
      • 3
      • 49
      • 22
      • 11
      • 43
  • (i)
    220

    7
  • (ii)
    94

    3
  • (iii)
    158

    5
  • (iv)
    218

    7
  • (v)
    222

    7
Question 17
17.
    • Daily wages of 10 labourers (in ₹) are given below. Find the mean wage.
      • 344
      • 377
      • 342
      • 456
      • 357
      • 435
      • 340
      • 434
      • 464
      • 322
  • (i)
    388.10
  • (ii)
    387.30
  • (iii)
    389.10
  • (iv)
    387.10
  • (v)
    387.20
Question 18
18.
    • If the mean of
    • 5
    • samples is
    • 16
    • ,
    • what is the new mean if
    • 4
    • is added to each number.
  • (i)
    19
  • (ii)
    20
  • (iii)
    23
  • (iv)
    21
  • (v)
    17
Question 19
19.
Find the mean of the first 20 even numbers.
  • (i)
    24
  • (ii)
    18
  • (iii)
    20
  • (iv)
    21
  • (v)
    22
Question 20
20.
    • A frequency distribution table is given below.
    • Find the
    • mean .
    • Class-Interval
      1 - 6
      6 - 11
      11 - 16
      16 - 21
      21 - 26
      26 - 31
      31 - 36
      Frequency
      3
      41
      45
      5
      29
      25
      48
  • (i)
    4063

    196
  • (ii)
    4257

    196
  • (iii)
    4453

    196
  • (iv)
    2031

    98
  • (v)
    4061

    196
Question 21
21.
Find the mean of all prime numbers between 30 and 60.
  • (i)
    133

    3
  • (ii)
    313

    7
  • (iii)
    311

    7
  • (iv)
    309

    7
  • (v)
    223

    5
Question 22
22.
    • Heights of 10 students are given below. Find the mean.
    • Height (in cm)
      132
      144
      151
      162
      No. of students
      2
      3
      1
      4
  • (i)
    150
    cm
  • (ii)
    301

    2
    cm
  • (iii)
    299

    2
    cm
  • (iv)
    303

    2
    cm
Question 23
23.
    • Temperatures of 156 days (in °C) are given below. Calculate the mean temperature from the given histogram.
  • (i)
    57.35 °C
  • (ii)
    52.35 °C
  • (iii)
    55.35 °C
  • (iv)
    49.35 °C
  • (v)
    47.35 °C
Question 24
24.
    • Wages of 10 labourers are given below. Find the mean.
    • Wage (in rupees)
      319
      370
      388
      417
      446
      453
      476
      No. of labourers
      1
      2
      1
      1
      1
      2
      2
  • (i)
    417.00
  • (ii)
    417.80
  • (iii)
    418.80
  • (iv)
    416.80
  • (v)
    417.20
Question 25
25.
    • Weights of 20 students are given below. Find the mean.
    • Weight (in kg)
      41
      42
      43
      44
      46
      47
      56
      57
      59
      No. of students
      2
      2
      3
      1
      3
      2
      3
      3
      1
  • (i)
    97

    2
    kg
  • (ii)
    989

    20
    kg
  • (iii)
    1009

    20
    kg
  • (iv)
    971

    20
    kg
  • (v)
    969

    20
    kg
    Assignment Key

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