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The variance of x, 2x, 3x, 4x and 5x is

Mathematics
JAMB 2000

The variance of x, 2x, 3x, 4x and 5x is

  • A. x√2
  • B. 2x2
  • C. x2
  • D. 3x
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Correct Answer: Option B
Explanation

Hint: prepare a three-columned table, one for (x), another for the (deviation), and the last for the (squared-deviation).

Sum of (x) = 15x, algebraic sum of (deviation) = zero (0)
Sum of (squared-deviation) = 10x\(^2\)

Variance = \(\frac{∑(squared-deviation)}{\text{n}}\) = \(\frac{10x^2}{5}\) = 2x\(^2\)

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts