Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  •  For measurement of the diameter of a hollow cylinder following  calculation are obtained for the absolute error of different measurement  <img alt="\De

 For measurement of the diameter of a hollow cylinder following  calculation are obtained for the absolute error of different measurement 

\Delta l_1 = 0.0 1\: \: \Delta l_2 = -0.02 \: \: \Delta l_3 = 0.06 \\\\ \Delta l_4 = -0.01\: \: \Delta l_5 = 0.01

 

What will be the mean absolute error for the measurement

Option: 1 0.01

Option: 2 0.022

Option: 3 -0.01

Option: 4 -0.02

Answers (1)

best_answer

As we learnt in

 

Errors of measurements -

It is the magnitude of the difference between the true value and the measured value of the quantity.

It may be positive in certain cases and negative in certain other cases

If   a_{1}, a_{2},a_{3}.........a_{n}   are a measured value

then   a_{m}= \frac{a_{1}+a_{2}+......a_{n}}{n}

where am  = true value

then   Absolute Error for nth reading =\Delta a_n= a_{n}- a_{m}  = true value - measured value

So 

\Delta a_{1}      =        a_{1}- a_{m}

\Delta a_{2}     =         a_{2}- a_{m}

2)  Mean absolute error

\dpi{100} \Delta\bar{ a}= \frac{\left | \Delta a_{1} \right |+\left | \Delta a_{2} \right |+....\left | \Delta a_{n} \right |}{n}

  absolute error 

 

(0.01+0.02+.06+.01+.01)/ 5

= 0.11/5=0.022

Posted by

Suraj Bhandari

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

When will NEET results 2025 be declared? Result date and time, tie-breaking rule
anam-khan

Homeopathy NEET cut-off trends for BHMS AIQ seats; college-wise opening and closing ranks
anam-khan

Who is AIR 1 in NEET 2025? Toppers and their marks in last 5 years

Latest Question