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Statistics — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSStatistics1 Mark
MCQ
if x1, x2, x3, x4, x5 are five consecutive odd numbers, then their average is:
  • A
    x2
  • B
    x3
  • C
    x4
  • D
    x4
✓

Answer

  1. x3

Solution:

The five consecutive odd numbers are $ \text{x}_1+ \text{x}_1+2, \text{x}_1 + 4,\text{x}_1 +6,\text{x}_1 +8$

$ \therefore \text{mean}=\frac{\text{x}_1 \ + \ \text{x}_1 \ +\ 2+\text{x}_1 \ +\ 4\ +\ \text{x}_1 \ +\ 6\text{x}_1 \ +\ 8}{6}$

$ =\frac{5\text{x}_1\ +\ 20}{5}$

$ =\text{x}_1\ +\ 4=\text{x}_3$

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