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A BLESSED
DAY
LEARNERS
LETS START!
LETS PRAY
LETS START!
ATTENDANCE
LETS START!
TIME FOR WARM-UP
activity
SPOT THE LIE?
IDENTIFY THE LIE
FROM THE FOLLOWING
STATEMENTS
JUDGEMENT IS YOUR BES
TWEAPON TO IDENTIFY THE LIE
ARE YOU READY
TO PLAY?
LETS START!
3 TRUTHS 1 LIE
PRECISE MEASUREMENT IS ALWAYS
ACCURATE.
ACCURATE MEASUREMENTS ARE
ALWAYS PRECISE
PRECISE MEASUREMENTS CAN BE
INACCURATE
INACCURATE MEASUREMENTS CAN BE
PRECISE
3 TRUTHS 1 LIE
PRECISE MEASUREMENT IS ALWAYS
ACCURATE.
ACCURATE MEASUREMENTS ARE
ALWAYS PRECISE
PRECISE MEASUREMENTS CAN BE
INACCURATE
INACCURATE MEASUREMENTS CAN BE
PRECISE
 Statement 1: Precision refers to how close multiple
measurements of the same quantity are to each other.
 Statement 2: Accuracy refers to how close a measurement
is to the true or accepted value.
 Statement 3: A measurement can be both precise and
accurate if the measurements are close to each other and
to the true value.
 Statement 4: A set of measurements can be precise even
if they are all far from the true value, as long as they are
close to each other.
 Lie: Statement 4 is a lie. (It's actually true that
measurements can be precise but inaccurate if they
are close to each other but far from the true value.)
 Statement 1: Systematic errors affect the accuracy of a
measurement but do not influence its precision.
 Statement 2: Random errors affect the precision of a
measurement but do not influence its accuracy.
 Statement 3: Increasing the number of measurements
typically improves the precision of the average value.
 Statement 4: Accuracy can be improved by simply
increasing the number of measurements.
Lie: Statement 4 is a lie. (Increasing the number of
measurements improves precision, but not necessarily
accuracy, which depends on reducing systematic errors.)
 Statement 1: A measurement device with high
precision will always give highly accurate results.
 Statement 2: Precision is often expressed using
standard deviation or variance in a set of
measurements.
 Statement 3: Calibration of instruments is crucial for
achieving accurate measurements.
 Statement 4: Accuracy can be achieved without
precision if the measurements are close to the true
value but spread out.
Lie: Statement 1 is a lie. (A precise device does not
necessarily give accurate results if it is systematically
biased.)
 Statement 1: Precision is more important than
accuracy in scientific experiments because
reproducibility is key.
 Statement 2: Accuracy ensures that the experimental
results reflect the true values as closely as possible.
 Statement 3: In the absence of systematic errors,
precision and accuracy can both be achieved.
 Statement 4: A perfectly accurate measurement has
zero error.
Lie: Statement 1 is a lie. (Both precision and accuracy are
important in scientific experiments; one cannot be
deemed more important than the other universally.)
ACCURACY
VS.
PRECISION
ACCURACY PRECISION
PRECISION
REFERS TO THE UNCERTAINTY IN A
MEASUREMENT READING OR
OBSERVATION. IT IS CLOSELY LINKED
WITH THE TERM REPRODUCIBILITY. A
PRECISE MEASUREMENT IS ONE WHICH IS
CHARACTERIZED BY HIGH
REPRODUCIBILITY. REPEATED
OBSERVATION LEADS TO NEARLY
IDENTICAL REPORTED VALUE
ACCURACY
IS USED TO DESCRIBE THE
CLOSENESS OF AN OBSERVATION
TO THE TRUE VALUE OF THE
PARAMETER BEING MEASURED. IT
IS INDEPENDENT OF PRECISION
ACCURACY PRECISION
ACCURACY VS.
PRECISION
UNCERTAINTY
UNCERTAINTY
uncertainty refers to the range within which the true value of a
measured quantity is expected to lie. It quantifies the doubt or
variation associated with a measurement and indicates the level
of confidence in the result.
ERROR
ERROR
errors refer to the deviations or discrepancies between the
measured or observed value and the true or accepted value of a
quantity. Errors are inherent in all experimental measurements
and can arise from various sources, affecting the accuracy and
precision of the results.
Systematic Error
Systematic errors are
consistent and repeatable
errors that occur due to
flaws or biases in the
measurement process or
instrument.
Systematic Error
Calibration errors, environmental factors (like
temperature or humidity affecting
measurements), or using an incorrect
method or procedure.
Systematic Error
Impact: Systematic errors lead to
measurements that are consistently
off in the same direction (either too
high or too low). They affect the
accuracy of the results.
Systematic Error
Detection and Correction: Systematic
errors can often be detected by
comparing measurements with a known
standard or by using different methods to
measure the same quantity. Once
identified, they can often be corrected or
minimized.
RANDOM ERROR
RANDOM ERRORS ARE
UNPREDICTABLE VARIATIONS
THAT OCCUR DURING THE
MEASUREMENT PROCESS,
CAUSED BY UNPREDICTABLE
FACTORS OR INHERENT
VARIABILITY IN THE SYSTEM
RANDOM ERROR
FLUCTUATIONS IN THE READINGS
OF A BALANCE, SLIGHT
DIFFERENCES IN REAGENT
AMOUNTS, OR VARIATIONS IN
THE ENVIRONMENT THAT ARE
NOT CONTROLLED.
RANDOM ERROR
RANDOM ERRORS CAUSE SCATTER
IN THE DATA AND AFFECT THE
PRECISION OF THE RESULTS. THEY
LEAD TO MEASUREMENTS THAT
ARE SOMETIMES TOO HIGH AND
SOMETIMES TOO LOW, WITH NO
CONSISTENT PATTERN.
RANDOM ERROR
REDUCTION: RANDOM ERRORS
CAN BE REDUCED BY TAKING
MULTIPLE MEASUREMENTS AND
AVERAGING THEM, INCREASING
THE PRECISION OF THE RESULT.
RANDOM ERROR
MEAN
MEAN (ALSO KNOWN AS THE AVERAGE) IS
A STATISTICAL MEASURE USED TO
DETERMINE THE CENTRAL TENDENCY OF
A SET OF DATA POINTS. WHEN
IDENTIFYING THE ACCURACY OF DATA
MEASURED IN CHEMISTRY, THE MEAN
PROVIDES AN ESTIMATE OF THE TRUE
MEAN
The mean is calculated by summing all the
individual measurements and then dividing by
the number of measurements.
ACCURACY AND MEAN
Accuracy and the Mean:
 Accuracy refers to how close the mean of the measurements is to
the true or accepted value of the quantity being measured.
 If the mean of the measurements is close to the true value, the
data is considered accurate.
 The mean helps to reduce the effect of random errors, providing a
better estimate of the true value compared to a single
measurement.
ACCURACY AND MEAN
 After calculating the mean, it can be compared to the true or
accepted value. The closer the mean is to this true value, the more
accurate the measurements are.
 Systematic Errors: If there is a systematic error in the
measurements, the mean may consistently deviate from the true
value, indicating a lack of accuracy.
 Random Errors: While random errors affect individual
measurements, they tend to average out when calculating the
mean, leading to a more accurate estimate of the true value.
STANDARD DEVIATION
STANDARD DEVIATION IS A STATISTICAL
MEASURE THAT QUANTIFIES THE AMOUNT
OF VARIATION OR DISPERSION IN A SET OF
DATA POINTS. WHEN IDENTIFYING THE
PRECISION OF DATA MEASURED IN
CHEMISTRY, STANDARD DEVIATION IS A KEY
INDICATOR. IT TELLS US HOW MUCH THE
INDIVIDUAL MEASUREMENTS DIFFER FROM
STANDARD DEVIATION AND PRECISION
Role of Standard Deviation:
 The standard deviation provides a numerical value that represents
the spread of the measurements around the mean.
 A small standard deviation indicates that the measurements are
close to the mean, meaning high precision.
 A large standard deviation indicates that the measurements are
spread out over a wider range, meaning low precision.
STANDARD DEVIATION AND PRECISION
Interpreting Standard Deviation:
 Low Standard Deviation: Indicates that the data points are close to
the mean, reflecting high precision. This means that the
measurements are consistent with each other.
 High Standard Deviation: Indicates that the data points are spread
out from the mean, reflecting low precision. This suggests that the
measurements are less consistent.
THANK YOU
AND HAVE A
GOOD DAY
PLAY AGAIN
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Precision and Accuracy General Physics I.pptx

  • 5. SPOT THE LIE? IDENTIFY THE LIE FROM THE FOLLOWING STATEMENTS JUDGEMENT IS YOUR BES TWEAPON TO IDENTIFY THE LIE
  • 6. ARE YOU READY TO PLAY? LETS START!
  • 7. 3 TRUTHS 1 LIE PRECISE MEASUREMENT IS ALWAYS ACCURATE. ACCURATE MEASUREMENTS ARE ALWAYS PRECISE PRECISE MEASUREMENTS CAN BE INACCURATE INACCURATE MEASUREMENTS CAN BE PRECISE
  • 8. 3 TRUTHS 1 LIE PRECISE MEASUREMENT IS ALWAYS ACCURATE. ACCURATE MEASUREMENTS ARE ALWAYS PRECISE PRECISE MEASUREMENTS CAN BE INACCURATE INACCURATE MEASUREMENTS CAN BE PRECISE
  • 9. Statement 1: Precision refers to how close multiple measurements of the same quantity are to each other. Statement 2: Accuracy refers to how close a measurement is to the true or accepted value. Statement 3: A measurement can be both precise and accurate if the measurements are close to each other and to the true value. Statement 4: A set of measurements can be precise even if they are all far from the true value, as long as they are close to each other.
  • 10. Lie: Statement 4 is a lie. (It's actually true that measurements can be precise but inaccurate if they are close to each other but far from the true value.)
  • 11. Statement 1: Systematic errors affect the accuracy of a measurement but do not influence its precision. Statement 2: Random errors affect the precision of a measurement but do not influence its accuracy. Statement 3: Increasing the number of measurements typically improves the precision of the average value. Statement 4: Accuracy can be improved by simply increasing the number of measurements.
  • 12. Lie: Statement 4 is a lie. (Increasing the number of measurements improves precision, but not necessarily accuracy, which depends on reducing systematic errors.)
  • 13. Statement 1: A measurement device with high precision will always give highly accurate results. Statement 2: Precision is often expressed using standard deviation or variance in a set of measurements. Statement 3: Calibration of instruments is crucial for achieving accurate measurements. Statement 4: Accuracy can be achieved without precision if the measurements are close to the true value but spread out.
  • 14. Lie: Statement 1 is a lie. (A precise device does not necessarily give accurate results if it is systematically biased.)
  • 15. Statement 1: Precision is more important than accuracy in scientific experiments because reproducibility is key. Statement 2: Accuracy ensures that the experimental results reflect the true values as closely as possible. Statement 3: In the absence of systematic errors, precision and accuracy can both be achieved. Statement 4: A perfectly accurate measurement has zero error.
  • 16. Lie: Statement 1 is a lie. (Both precision and accuracy are important in scientific experiments; one cannot be deemed more important than the other universally.)
  • 18. PRECISION REFERS TO THE UNCERTAINTY IN A MEASUREMENT READING OR OBSERVATION. IT IS CLOSELY LINKED WITH THE TERM REPRODUCIBILITY. A PRECISE MEASUREMENT IS ONE WHICH IS CHARACTERIZED BY HIGH REPRODUCIBILITY. REPEATED OBSERVATION LEADS TO NEARLY IDENTICAL REPORTED VALUE
  • 19. ACCURACY IS USED TO DESCRIBE THE CLOSENESS OF AN OBSERVATION TO THE TRUE VALUE OF THE PARAMETER BEING MEASURED. IT IS INDEPENDENT OF PRECISION
  • 22. UNCERTAINTY uncertainty refers to the range within which the true value of a measured quantity is expected to lie. It quantifies the doubt or variation associated with a measurement and indicates the level of confidence in the result.
  • 23. ERROR
  • 24. ERROR errors refer to the deviations or discrepancies between the measured or observed value and the true or accepted value of a quantity. Errors are inherent in all experimental measurements and can arise from various sources, affecting the accuracy and precision of the results.
  • 25. Systematic Error Systematic errors are consistent and repeatable errors that occur due to flaws or biases in the measurement process or instrument.
  • 26. Systematic Error Calibration errors, environmental factors (like temperature or humidity affecting measurements), or using an incorrect method or procedure.
  • 27. Systematic Error Impact: Systematic errors lead to measurements that are consistently off in the same direction (either too high or too low). They affect the accuracy of the results.
  • 28. Systematic Error Detection and Correction: Systematic errors can often be detected by comparing measurements with a known standard or by using different methods to measure the same quantity. Once identified, they can often be corrected or minimized.
  • 30. RANDOM ERRORS ARE UNPREDICTABLE VARIATIONS THAT OCCUR DURING THE MEASUREMENT PROCESS, CAUSED BY UNPREDICTABLE FACTORS OR INHERENT VARIABILITY IN THE SYSTEM RANDOM ERROR
  • 31. FLUCTUATIONS IN THE READINGS OF A BALANCE, SLIGHT DIFFERENCES IN REAGENT AMOUNTS, OR VARIATIONS IN THE ENVIRONMENT THAT ARE NOT CONTROLLED. RANDOM ERROR
  • 32. RANDOM ERRORS CAUSE SCATTER IN THE DATA AND AFFECT THE PRECISION OF THE RESULTS. THEY LEAD TO MEASUREMENTS THAT ARE SOMETIMES TOO HIGH AND SOMETIMES TOO LOW, WITH NO CONSISTENT PATTERN. RANDOM ERROR
  • 33. REDUCTION: RANDOM ERRORS CAN BE REDUCED BY TAKING MULTIPLE MEASUREMENTS AND AVERAGING THEM, INCREASING THE PRECISION OF THE RESULT. RANDOM ERROR
  • 34. MEAN MEAN (ALSO KNOWN AS THE AVERAGE) IS A STATISTICAL MEASURE USED TO DETERMINE THE CENTRAL TENDENCY OF A SET OF DATA POINTS. WHEN IDENTIFYING THE ACCURACY OF DATA MEASURED IN CHEMISTRY, THE MEAN PROVIDES AN ESTIMATE OF THE TRUE
  • 35. MEAN The mean is calculated by summing all the individual measurements and then dividing by the number of measurements.
  • 36. ACCURACY AND MEAN Accuracy and the Mean: Accuracy refers to how close the mean of the measurements is to the true or accepted value of the quantity being measured. If the mean of the measurements is close to the true value, the data is considered accurate. The mean helps to reduce the effect of random errors, providing a better estimate of the true value compared to a single measurement.
  • 37. ACCURACY AND MEAN After calculating the mean, it can be compared to the true or accepted value. The closer the mean is to this true value, the more accurate the measurements are. Systematic Errors: If there is a systematic error in the measurements, the mean may consistently deviate from the true value, indicating a lack of accuracy. Random Errors: While random errors affect individual measurements, they tend to average out when calculating the mean, leading to a more accurate estimate of the true value.
  • 38. STANDARD DEVIATION STANDARD DEVIATION IS A STATISTICAL MEASURE THAT QUANTIFIES THE AMOUNT OF VARIATION OR DISPERSION IN A SET OF DATA POINTS. WHEN IDENTIFYING THE PRECISION OF DATA MEASURED IN CHEMISTRY, STANDARD DEVIATION IS A KEY INDICATOR. IT TELLS US HOW MUCH THE INDIVIDUAL MEASUREMENTS DIFFER FROM
  • 39. STANDARD DEVIATION AND PRECISION Role of Standard Deviation: The standard deviation provides a numerical value that represents the spread of the measurements around the mean. A small standard deviation indicates that the measurements are close to the mean, meaning high precision. A large standard deviation indicates that the measurements are spread out over a wider range, meaning low precision.
  • 40. STANDARD DEVIATION AND PRECISION Interpreting Standard Deviation: Low Standard Deviation: Indicates that the data points are close to the mean, reflecting high precision. This means that the measurements are consistent with each other. High Standard Deviation: Indicates that the data points are spread out from the mean, reflecting low precision. This suggests that the measurements are less consistent.
  • 41. THANK YOU AND HAVE A GOOD DAY PLAY AGAIN