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Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and...

Mathematics
JAMB 2005

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is √2

  • A. 1
  • B. 2
  • C. 3
  • D. 4
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Correct Answer: Option A
Explanation

\(mean(x) = \frac{20t}{5}\)

= S.D = \(\sqrt{\frac{((\overline{x} - x)^2}{\text{n}}}\)

\(\sqrt{2}\) = \(\sqrt{\frac{10t^2}{5}}\)

2 = \(\frac{10t^2}{5}\)

10t\(^2\) = 10

t\(^2\) = 1

t = \(\sqrt{1}\) = 1

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