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Last updated on Dec 30, 2023
Latest Precision MCQ Objective Questions
Precision Question 1:
Precision is defined as -
- Repeatability
- Reliability
- Uncertainity
- Accuracy
Answer (Detailed Solution Below)
Option 1 : Repeatability
Precision Question 1 Detailed Solution
Precision:It is the measure of reproducibility i.e., given a fixed value of a quantity, precision is a measure of the degree of agreement within a group of measurements.
- Precision of an instrument does not guarantees accuracy
- An instrument with more significant figures has more precision
- Deflection factor is reciprocal of sensitivity
Additional Information
Sensitivity:The sensitivity denotes the smallest change in the measured variable to which the instrument responds. It is defined as the ratio of the changes in the output of an instrument to a change in the value of the quantity to be measured.
Accuracy:It is the degree of closeness with which the reading approaches the true value of the quantity to be measured.
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Precision Question 2:
Which of the following is the correct definition of reproducibility?
- It is an instrument's degree of freedom from random errors.
- It is the closeness of output readings for the same input when there are changes in the observer, locations, measuring instruments, etc.
- It is the degree of closeness of a measurement compared to the expected value.
- It is the closeness of output readings, when the same input is applied repetitively over a short period of time.
Answer (Detailed Solution Below)
Option 2 : It is the closeness of output readings for the same input when there are changes in the observer, locations, measuring instruments, etc.
Precision Question 2 Detailed Solution
Reproducibility:
- It is the degree of closeness with which a given value may be repeatedly measured. It may be specified in terms of units for a given period of time. Hence option (2) matches the definition of reproducibility i.e. it is the closeness of output readings for the same input when there are changes in the observer, locations, measuring instruments, etc.
- Perfect reproducibility means that the instrument has no drift.
- No driftmeans that with a given input the measured values do not vary with time.
Additional Information
Drift:It indicates the variation of the output with time. No drift means that with a given input the measured values don’t vary with time.
Factors that cause drift are stray electric and magnetic fields, thermal EMFs, changes in temperature, mechanical vibrations, wearand tear and high mechanical stresses developed in some parts of the instruments, etc.
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Precision Question 3:
An instrument is used to measure a quantity at different time instances, and the expected values of the quantity are to be the same; however, the measured values are different. A set of 5 measurements that were recorded at different time instances are 98, 101, 99, 100 and 102. Find the precision of the third measurement.
- 0.95
- 0.1
- 0.99
- 0.9
Answer (Detailed Solution Below)
Option 3 : 0.99
Precision Question 3 Detailed Solution
Concept:
Precision: A measurement of consistency or repeatability of measurement i.e., successive reading does not differ.
The average of the measured value is given by,
\(\overline {{X_n}} = \sum \frac{{{X_n}}}{n}\)
Where Xnis the recordedreadings, n is no. of recorded readings.
Precision for particular reading is given by,
Precision\( = 1 - \left| {\frac{{Respective\;Reading - \overline {{X_n}} }}{{\overline {{X_n}} }}} \right|\)
Calculation:
The average measurement value
\(\overline {{X_n}} = \frac{{98 + 101 + 99 + 100 + 102}}{5}\)
\(= \frac{{500}}{5} = 100\)
Given third measurement reading = 99
The 3rd reading precision is given as
\(= 1 - \left| {\frac{{99 - 100}}{{100}}} \right|\)
\( = 1 - \frac{1}{{100}} = 0.99\)
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Precision Question 4:
The false statement regarding precision of an instrument:
- precision is the indication ofthe degree of closeness between the measured values.
- an instrument with high precision will always give accurate readings
- an high accuracy instrument is always a precision instrument.
- none of the above
Answer (Detailed Solution Below)
Option 2 : an instrument with high precision will always give accurate readings
Precision Question 4 Detailed Solution
Precision:
- Precision is the indication ofthe degree of closeness between the measured values.
- Precision is also the measurement of repeatability (or) reproducibility.
- For a good instrument, high precision is preferred when the measured values are very close.
- A high precision instrument may or may not be accurate i.e, precision doesn't give the guarantee about accuracy.
- But ahigh accuracy instrument is a precision instrument i.e, accuracy guaranteesprecision.
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Precision Question 5:
Consider the following statements regarding precision in measurements of a quantity:
1. Precision is the measure of the spread of the incident errors.
2. Precision is independent of the realizable correctness of the measurement.
3. Precision is usually described in terms of number of digits used in the measurement by a digital instrument.
Which of the above statements are correct?
- 1, 2 and 3
- 1 and 2 only
- 1 and 3 only
- 2 and 3 only
Answer (Detailed Solution Below)
Option 1 : 1, 2 and 3
Precision Question 5 Detailed Solution
Precision: The most repeatable value (or) the reproducible value out of the set of records is known as precision. It is the measure of consistency. It gives the closeness of individual measured value to the average of all measured values.
The precision of an instrument does not guarantee accuracy. The precision can be achieved without accuracy. So, it is independent of the realizable correctness of the measurement
An instrument with more significant figures has more precision and hence precision is usually described in terms of number of digits used in the measurement by a digital instrument.
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Top Precision MCQ Objective Questions
Precision Question 6
Download Solution PDFAn instrument is used to measure a quantity at different time instances, and the expected values of the quantity are to be the same; however, the measured values are different. A set of 5 measurements that were recorded at different time instances are 98, 101, 99, 100 and 102. Find the precision of the third measurement.
- 0.95
- 0.1
- 0.99
- 0.9
Answer (Detailed Solution Below)
Option 3 : 0.99
Precision Question 6 Detailed Solution
Download Solution PDFConcept:
Precision: A measurement of consistency or repeatability of measurement i.e., successive reading does not differ.
The average of the measured value is given by,
\(\overline {{X_n}} = \sum \frac{{{X_n}}}{n}\)
Where Xnis the recordedreadings, n is no. of recorded readings.
Precision for particular reading is given by,
Precision\( = 1 - \left| {\frac{{Respective\;Reading - \overline {{X_n}} }}{{\overline {{X_n}} }}} \right|\)
Calculation:
The average measurement value
\(\overline {{X_n}} = \frac{{98 + 101 + 99 + 100 + 102}}{5}\)
\(= \frac{{500}}{5} = 100\)
Given third measurement reading = 99
The 3rd reading precision is given as
\(= 1 - \left| {\frac{{99 - 100}}{{100}}} \right|\)
\( = 1 - \frac{1}{{100}} = 0.99\)
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Precision Question 7
Download Solution PDFPrecision is defined as -
- Repeatability
- Reliability
- Uncertainity
- Accuracy
Answer (Detailed Solution Below)
Option 1 : Repeatability
Precision Question 7 Detailed Solution
Download Solution PDFPrecision:It is the measure of reproducibility i.e., given a fixed value of a quantity, precision is a measure of the degree of agreement within a group of measurements.
- Precision of an instrument does not guarantees accuracy
- An instrument with more significant figures has more precision
- Deflection factor is reciprocal of sensitivity
Additional Information
Sensitivity:The sensitivity denotes the smallest change in the measured variable to which the instrument responds. It is defined as the ratio of the changes in the output of an instrument to a change in the value of the quantity to be measured.
Accuracy:It is the degree of closeness with which the reading approaches the true value of the quantity to be measured.
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Precision Question 8
Download Solution PDFWhich of the following is the correct definition of reproducibility?
- It is an instrument's degree of freedom from random errors.
- It is the closeness of output readings for the same input when there are changes in the observer, locations, measuring instruments, etc.
- It is the degree of closeness of a measurement compared to the expected value.
- It is the closeness of output readings, when the same input is applied repetitively over a short period of time.
Answer (Detailed Solution Below)
Option 2 : It is the closeness of output readings for the same input when there are changes in the observer, locations, measuring instruments, etc.
Precision Question 8 Detailed Solution
Download Solution PDFReproducibility:
- It is the degree of closeness with which a given value may be repeatedly measured. It may be specified in terms of units for a given period of time. Hence option (2) matches the definition of reproducibility i.e. it is the closeness of output readings for the same input when there are changes in the observer, locations, measuring instruments, etc.
- Perfect reproducibility means that the instrument has no drift.
- No driftmeans that with a given input the measured values do not vary with time.
Additional Information
Drift:It indicates the variation of the output with time. No drift means that with a given input the measured values don’t vary with time.
Factors that cause drift are stray electric and magnetic fields, thermal EMFs, changes in temperature, mechanical vibrations, wearand tear and high mechanical stresses developed in some parts of the instruments, etc.
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Precision Question 9
Download Solution PDFConsider the following statements regarding precision in measurements of a quantity:
1. Precision is the measure of the spread of the incident errors.
2. Precision is independent of the realizable correctness of the measurement.
3. Precision is usually described in terms of number of digits used in the measurement by a digital instrument.
Which of the above statements are correct?
- 1, 2 and 3
- 1 and 2 only
- 1 and 3 only
- 2 and 3 only
Answer (Detailed Solution Below)
Option 1 : 1, 2 and 3
Precision Question 9 Detailed Solution
Download Solution PDFPrecision: The most repeatable value (or) the reproducible value out of the set of records is known as precision. It is the measure of consistency. It gives the closeness of individual measured value to the average of all measured values.
The precision of an instrument does not guarantee accuracy. The precision can be achieved without accuracy. So, it is independent of the realizable correctness of the measurement
An instrument with more significant figures has more precision and hence precision is usually described in terms of number of digits used in the measurement by a digital instrument.
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Precision Question 10
Download Solution PDFPrecision is compose of two characteristics, one is the number of significant figures to which a measurement may be made, the other is
- Conformity
- Meter error
- Inertia Effects
- Noise
Answer (Detailed Solution Below)
Option 1 : Conformity
Precision Question 10 Detailed Solution
Download Solution PDFPrecision:
- Precisionis the degree of exactness for which the instrument is designed.
- Precisioncomposed of two characteristics:conformityandsignificant figures.
- More significant figures, estimated precision is more.
- It is a measure of the reproducibility of the measurements, i.e. given a fixed value of quantity.
- It is a measure of the degree of agreement within a group of measurements.
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Precision Question 11:
The false statement regarding precision of an instrument:
- precision is the indication ofthe degree of closeness between the measured values.
- an instrument with high precision will always give accurate readings
- an high accuracy instrument is always a precision instrument.
- none of the above
Answer (Detailed Solution Below)
Option 2 : an instrument with high precision will always give accurate readings
Precision Question 11 Detailed Solution
Precision:
- Precision is the indication ofthe degree of closeness between the measured values.
- Precision is also the measurement of repeatability (or) reproducibility.
- For a good instrument, high precision is preferred when the measured values are very close.
- A high precision instrument may or may not be accurate i.e, precision doesn't give the guarantee about accuracy.
- But ahigh accuracy instrument is a precision instrument i.e, accuracy guaranteesprecision.
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Precision Question 12:
An instrument is used to measure a quantity at different time instances, and the expected values of the quantity are to be the same; however, the measured values are different. A set of 5 measurements that were recorded at different time instances are 98, 101, 99, 100 and 102. Find the precision of the third measurement.
- 0.95
- 0.1
- 0.99
- 0.9
Answer (Detailed Solution Below)
Option 3 : 0.99
Precision Question 12 Detailed Solution
Concept:
Precision: A measurement of consistency or repeatability of measurement i.e., successive reading does not differ.
The average of the measured value is given by,
\(\overline {{X_n}} = \sum \frac{{{X_n}}}{n}\)
Where Xnis the recordedreadings, n is no. of recorded readings.
Precision for particular reading is given by,
Precision\( = 1 - \left| {\frac{{Respective\;Reading - \overline {{X_n}} }}{{\overline {{X_n}} }}} \right|\)
Calculation:
The average measurement value
\(\overline {{X_n}} = \frac{{98 + 101 + 99 + 100 + 102}}{5}\)
\(= \frac{{500}}{5} = 100\)
Given third measurement reading = 99
The 3rd reading precision is given as
\(= 1 - \left| {\frac{{99 - 100}}{{100}}} \right|\)
\( = 1 - \frac{1}{{100}} = 0.99\)
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Precision Question 13:
Precision is defined as -
- Repeatability
- Reliability
- Uncertainity
- Accuracy
Answer (Detailed Solution Below)
Option 1 : Repeatability
Precision Question 13 Detailed Solution
Precision:It is the measure of reproducibility i.e., given a fixed value of a quantity, precision is a measure of the degree of agreement within a group of measurements.
- Precision of an instrument does not guarantees accuracy
- An instrument with more significant figures has more precision
- Deflection factor is reciprocal of sensitivity
Additional Information
Sensitivity:The sensitivity denotes the smallest change in the measured variable to which the instrument responds. It is defined as the ratio of the changes in the output of an instrument to a change in the value of the quantity to be measured.
Accuracy:It is the degree of closeness with which the reading approaches the true value of the quantity to be measured.
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Precision Question 14:
Which of the following is the correct definition of reproducibility?
- It is an instrument's degree of freedom from random errors.
- It is the closeness of output readings for the same input when there are changes in the observer, locations, measuring instruments, etc.
- It is the degree of closeness of a measurement compared to the expected value.
- It is the closeness of output readings, when the same input is applied repetitively over a short period of time.
Answer (Detailed Solution Below)
Option 2 : It is the closeness of output readings for the same input when there are changes in the observer, locations, measuring instruments, etc.
Precision Question 14 Detailed Solution
Reproducibility:
- It is the degree of closeness with which a given value may be repeatedly measured. It may be specified in terms of units for a given period of time. Hence option (2) matches the definition of reproducibility i.e. it is the closeness of output readings for the same input when there are changes in the observer, locations, measuring instruments, etc.
- Perfect reproducibility means that the instrument has no drift.
- No driftmeans that with a given input the measured values do not vary with time.
Additional Information
Drift:It indicates the variation of the output with time. No drift means that with a given input the measured values don’t vary with time.
Factors that cause drift are stray electric and magnetic fields, thermal EMFs, changes in temperature, mechanical vibrations, wearand tear and high mechanical stresses developed in some parts of the instruments, etc.
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Precision Question 15:
Which one of the following is composed of two characteristics: conformity and the number of significant figures to which measurement may be made?
- Sensitivity
- Resolution
- Accuracy
- Precision
- Repeatability
Answer (Detailed Solution Below)
Option 4 : Precision
Precision Question 15 Detailed Solution
Some of the important characteristics of measuring instruments are specified by using the following terms:
Precision:
- It is a measure of thereproducibilityof the measurements.
- Given a fixed value of avariable, precision is ameasure of the degreeto whichsuccessive measurements differ fromone another i.e., a measure of reproducibility or agreement with each other for multiple trials.
Precision is composed oftwocharacteristics:conformity and the number of significant figures to which measurement may be made.
- Conformity:It is the ability of an instrument to produce the same reading, or it is the degree of similarity between the individual measurements.
- So,it is also called repeatability or reproducibilityand the number of significant figures.
Mathematically, Precisionis expressed as “the absolute maximum deviation from the average of the readings”, i.e.
Precision = max {(VAV- VMIN), (VMAX- VAV)}
Accuracy:
- It is theclosenessto the true value; closeness with which an instrument readingapproaches the true or accepted value of the variable (quantity) being measured.
- It isconsidered to be anindicatorof the total error in the measurement without looking into thesources of errors.
Sensitivity:Itthe ability of the measuring instrument to respond to changes in the measuredquantity. It is expressed as the ratio of the change of output signal or response of theinstrument to a change of input or measured variable.
Resolution:Itis the smallest change in measured value to which the instrument will respond, i.e. the smallest incremental quantity that can be reliably measured.
Error:It is the deviation from the true value of the measured variable.
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