Step 1

“Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved, then please specify the question number or post only that question.”

Step 2

Difference between the calculated value and actual value of a quantity is called error. Difference in true value and individually measured value of a quantity is called absolute error. The mean of the data is termed as mean absolute error. .

Accuracy of a measurement is a measure of how much close the value measured to the actual value of quantity. Precision provides the measuring instrument resolution capability. Smaller least count greater will be the precision.

Let \(a_{1} = 2.75 cm,\ a_{2} = 2.76 cm,\ a_{3} = 2.30 cm\)

Mean value of measurements

\(\overline{a}=\frac{2.75+2.76+2.30}{3}\)

\(\overline{a}=2.60cm\)

Actual measurement is 3.25 cm.

This difference can be due to instrumental error or personal error, it can be due to imperfection in performing the experiment or due to some external causes like temperature, pressure, humidity etc.

“Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved, then please specify the question number or post only that question.”

Step 2

Difference between the calculated value and actual value of a quantity is called error. Difference in true value and individually measured value of a quantity is called absolute error. The mean of the data is termed as mean absolute error. .

Accuracy of a measurement is a measure of how much close the value measured to the actual value of quantity. Precision provides the measuring instrument resolution capability. Smaller least count greater will be the precision.

Let \(a_{1} = 2.75 cm,\ a_{2} = 2.76 cm,\ a_{3} = 2.30 cm\)

Mean value of measurements

\(\overline{a}=\frac{2.75+2.76+2.30}{3}\)

\(\overline{a}=2.60cm\)

Actual measurement is 3.25 cm.

This difference can be due to instrumental error or personal error, it can be due to imperfection in performing the experiment or due to some external causes like temperature, pressure, humidity etc.