ICSE Board Practice

ICSE Grade X - Measures of Central Tendency
Question 1
1.
The histogram given below represents the weights of students of a particular class. Using the data in the diagram, calculate the mean weight
  • 59.75 kg
  • 61.75 kg
  • 60.75 kg
  • 62.75 kg
  • 63.75 kg
Question 2
2.
    • A frequency distribution table is given below.
    • Find the
    • mean .
    • Class-Interval
      7 - 15
      16 - 24
      25 - 33
      34 - 42
      43 - 51
      52 - 60
      61 - 69
      Frequency
      14
      40
      37
      36
      25
      17
      13
  • 6369

    182
  • 6367

    182
  • 3184

    91
  • 6731

    182
  • 6549

    182
Question 3
3.
    • Ages of 20 students are given below. Find the mean.
    • Age (in years)
      10
      11
      12
      13
      14
      15
      No. of students
      3
      4
      4
      5
      2
      2
  • 57

    4
    years
  • 51

    4
    years
  • 53

    4
    years
  • 49

    4
    years
  • 25

    2
    years
Question 4
4.
    • If the mean of the following frequency distribution is
    • 45
      3

      4
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      20 - 29
      4
      30 - 39
      6
      40 - 49
      x
      50 - 59
      8
      60 - 69
      5
  • 6
  • 10
  • 11
  • 9
  • 8
Question 5
5.
    • The following table shows the weights of
    • 72
    • persons in a group.
    • Find the
    • mean weight.
    • Weight (in kg)
      50 - 60
      61 - 71
      72 - 82
      83 - 93
      94 - 104
      105 - 115
      No. of persons
      19
      9
      19
      6
      14
      5
  • 2785

    36
    kg
  • 2783

    36
    kg
  • 2855

    36
    kg
  • 2819

    36
    kg
  • 232

    3
    kg
Question 6
6.
    • Heights of 15 students are given below. Find the mean.
    • Height (in cm)
      138
      142
      145
      159
      160
      No. of students
      1
      5
      2
      3
      4
  • 457

    3
    cm
  • 452

    3
    cm
  • 151
    cm
  • 451

    3
    cm
  • 454

    3
    cm
Question 7
7.
    • If the sum of the following frequency distribution is
    • 29
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      20 - 30
      4
      31 - 41
      3
      42 - 52
      4
      53 - 63
      x
      64 - 74
      7
      75 - 85
      6
      86 - 96
      2
  • 3
  • 4
  • 0
  • 5
  • 2
Question 8
8.
The arithmetic mean of a + 2, a, and a - 2 is
  • a - 2
  • 3a
  • a + 2
  • a
Question 9
9.
    • Given the mean of
    • 10
    • samples as
    • 5
      1

      2
    • ,
    • what is the new mean if two samples
    • 7
    • and
    • 8
    • are added ?
  • 37

    6
  • 25

    4
  • 11

    2
  • 35

    6
  • 45

    8
Question 10
10.
    • The histogram given below represents the marks obtained by some candidates in an examination.
    • Using data in the diagram, calculate the
    • mean
    • marks.
  • 44.71
  • 43.71
  • 47.71
  • 46.71
  • 45.71