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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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Project Topics and Materials, Post-UTME past questions - Download now or upload yours to get paid
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Correct Answer: Option A
Explanation
\(mean(x) = \frac{20t}{5} = 4t\\standard\hspace{1mm}deviation=\sqrt{\frac{10t^2}{5}}\\\sqrt{2}=\sqrt{\frac{10t^2}{5}}\\\sqrt{2}=\sqrt{2t^2}\\2 = 2t^2\\t^2=1\\t=1\)

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Project Topics and Materials, Post-UTME past questions - Download now or upload yours to get paid
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Project Topics and Materials, Post-UTME past questions - Download now or upload yours to get paid
Join your school's WhatsApp group