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# Minimizing Random Errors in Measurements

Created by
@WorthwhileToucan

## Questions and Answers

### What is the absolute error for a measured value $a_{1}$ with mean value $a_{m}$?

• $|\Delta a_{1}| = |a_{1} - a_{m}|$
• $|\Delta a_{1}| = a_{1} - a_{m}$
• $|\Delta a_{1}| = |a_{m} - a_{1}|$ (correct)
• $|\Delta a_{1}| = a_{m} - a_{1}$
• ### How can random errors in measurements be minimized?

• Choosing a smaller magnitude of the quantity to be measured
• Using an instrument with a large least count
• Increasing the experimental conditions
• Taking a large number of readings and finding their mean value (correct)
• ### What does the mean value represent for 'n' readings of a physical quantity?

• The middle reading among the 'n' readings
• The largest reading among the 'n' readings
• The smallest reading among the 'n' readings
• The average of the 'n' readings (correct)
• ### How does the least count of an instrument affect measurement errors?

<p>A smaller least count reduces measurement errors</p> Signup and view all the answers

### What is the effect of sudden changes in experimental conditions on random errors?

<p>Sudden changes in experimental conditions can lead to random errors</p> Signup and view all the answers

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