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1 of 33
Analyse Data Of
Measurement
1/33
EXAMPLE OF MEASUREMENTS
2/33
At the end of this lesson, students should
be able to:
Read and use Micrometer screw gauge,
Vernier Calliper and meter rule .
Describe inaccuracy and errors in
measurement.
3/33
METRE RULE
Smallest division on a metre rule is 0.1 cm
4/33
Answer:
Answer:
HOW TO USE METRE RULE
5/33
The Vernier Callipers
 This instrument may be used to measure outer dimensions of objects (using the
main jaws), inside dimensions (using the smaller jaws at the top), and depths
(using the stem).
 Vernier calipers can measure length with an accuracy of up to 0.01 cm.
VERNIER CALLIPERS
6/33
HOW TO USE AND READ
VERNIER CALLIPERS
7/33
HOW TO USE AND READ
VERNIER CALLIPERS
8/33
VERNIER CALIPPER WITH NO ZERO ERROR
9/33
VERNIER CALIPPER WITH NO ZERO ERROR (READING 1)
10/33
VERNIER CALIPPER WITH NEGATIVE ZERO ERROR
11/33
VERNIER CALIPPER WITH NEGATIVE ZERO ERROR (READING 1)
12/33
VERNIER CALIPPER WITH POSITIVE ZERO ERROR
13/33
VERNIER CALIPPER WITH POSITIVE ZERO ERROR (READING 1)
14/33
MICROMETER SCREW GAUGE
 A micrometer allows a measurement of the size of a body. It is one of the most accurate
mechanical devices in common use.
 The micrometer screw gauge can be used to measure very small lengths such as the
diameter of a wire or the thickness of a piece of paper as it can measure length
accurately up to 0.01 mm.
Figure 5: Micrometer Screw Gauge
MICROMETER SCREW GAUGE
 A mirometer allows a measurement of the size of a body. It is one
of the most accurate mechanical devices in common use.
 A micrometer screw gauge can measure length accurately up to 0.01
mm.
15/33
MICROMETER SCREW GAUGE WITH NO ZERO ERROR
16/33
MICROMETER SCREW GAUGE WITH NO ZERO ERROR (READING 1)
17/33
MICROMETER SCREW GAUGE WITH NEGATIVE ZERO ERROR
18/33
MICROMETER SCREW GAUGE WITH NEGATIVE ZERO ERROR (READING 1)
19/33
MICROMETER SCREW GAUGE WITH POSITIVE ZERO ERROR
20/33
MICROMETER SCREW GAUGE WITH POSITIVE ZERO ERROR (READING 1)
21/33
Inaccuracy and errors in measurement.
22/33
Consistency
 The consistency of a measuring
instrument is its ability to register the
same reading when a measurement
is repeated.
 A set of measurements are
consistent if all the values are close
to the mean value.
23/33
The consistency of a measuring instrument can be
improved by
eliminating parallax errors during measurement.
exercising greater care and effort when taking readings.
using an instrument which is not defective.
24/33
Accuracy
Examples of Precision and Accuracy:
Low Accuracy
High Precision
High Accuracy
Low Precision
High Accuracy
High Precision
Examples of Precision and Accuracy:
Low Accuracy
High Precision
High Accuracy
Low Precision
High Accuracy
High Precision
Examples of Precision and Accuracy:
Low Accuracy
High Precision
High Accuracy
Low Precision
High Accuracy
High Precision
 Accuracy is the degree of how close a measured value is to the actual (true)
value.
 Precision is how close the measured values are to each other.
25/33
Ways to improve the accuracy of a
measurement:
a) Repeated readings are taken and
the average value is calculated.
b) Avoid parallax errors.
c) Avoid zero errors.
d) Use measuring instruments with a
higher accuracy.
26/33
 The sensitivity of a measuring instrument is its ability to respond quickly to a
small change in the value of a measurement.
Measuring
Instruments
Sensitivity
Metre rule 0.1 cm
Vernier callipers 0.01 cm
Micrometer
screw gauge
0.001 cm
Wrist watch 1 s
Analogue stopwatch 0.1 s
Digital stopwatch 0.01 s
Ammeter 0.1 A
Miliammeter 1 mA
Sensitivity
 The smaller the minimum scale division, the more sensitive is the measuring
instrument.
27/33
The difference between the real value and the observed value.
ERROR
There are two main types of errors, that is
a) Systematics error
b) Random error
28/33
SYSTEMATIC ERROR
A systematic error is an error in reading the scale when a physical
quantity is being measured. It caused by the instrument, observer
and surroundings.
29/33
Causes of a systematic error:
a) A zero error occurs when the reading shown on the instrument is not
zero while the true reading is zero.
b) An error is caused when there is a flaw in the instrument. For example,
the edge of a ruler which is worn out causes an error in the measurement
of a length.
c) An error is caused by a wrong assumption.
d) Slow reaction when using an instrument causes an error. For example,
there may be a delay in pressing a stop watch.
e) An error caused by incorrect calibration of instruments.
30/33
RANDOM ERROR
1) A random error is an error is an error which occurs when
the observer is reading the scale on the measuring instrument.
2) A reading obtained when a random error occurs can be
bigger or smaller than the true value, a positive or negative
error may occur.
3) A random error can be reduced by taking the measurement
of a physical quantity more than once and finding the average
reading.
31/33
Examples of random errors are:
a)parallax error or error of measurement when a
reading is taken from unsuitable position relative
to the scale.
b)error in the reading of the scale.
c)error due to a change in temperature as the
experiment is being carried out.
32/33
33/33
Author:
BADARIAH BT MANAB

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Analysis data of measurement1

  • 3. At the end of this lesson, students should be able to: Read and use Micrometer screw gauge, Vernier Calliper and meter rule . Describe inaccuracy and errors in measurement. 3/33
  • 4. METRE RULE Smallest division on a metre rule is 0.1 cm 4/33
  • 5. Answer: Answer: HOW TO USE METRE RULE 5/33
  • 6. The Vernier Callipers  This instrument may be used to measure outer dimensions of objects (using the main jaws), inside dimensions (using the smaller jaws at the top), and depths (using the stem).  Vernier calipers can measure length with an accuracy of up to 0.01 cm. VERNIER CALLIPERS 6/33
  • 7. HOW TO USE AND READ VERNIER CALLIPERS 7/33
  • 8. HOW TO USE AND READ VERNIER CALLIPERS 8/33
  • 9. VERNIER CALIPPER WITH NO ZERO ERROR 9/33
  • 10. VERNIER CALIPPER WITH NO ZERO ERROR (READING 1) 10/33
  • 11. VERNIER CALIPPER WITH NEGATIVE ZERO ERROR 11/33
  • 12. VERNIER CALIPPER WITH NEGATIVE ZERO ERROR (READING 1) 12/33
  • 13. VERNIER CALIPPER WITH POSITIVE ZERO ERROR 13/33
  • 14. VERNIER CALIPPER WITH POSITIVE ZERO ERROR (READING 1) 14/33
  • 15. MICROMETER SCREW GAUGE  A micrometer allows a measurement of the size of a body. It is one of the most accurate mechanical devices in common use.  The micrometer screw gauge can be used to measure very small lengths such as the diameter of a wire or the thickness of a piece of paper as it can measure length accurately up to 0.01 mm. Figure 5: Micrometer Screw Gauge MICROMETER SCREW GAUGE  A mirometer allows a measurement of the size of a body. It is one of the most accurate mechanical devices in common use.  A micrometer screw gauge can measure length accurately up to 0.01 mm. 15/33
  • 16. MICROMETER SCREW GAUGE WITH NO ZERO ERROR 16/33
  • 17. MICROMETER SCREW GAUGE WITH NO ZERO ERROR (READING 1) 17/33
  • 18. MICROMETER SCREW GAUGE WITH NEGATIVE ZERO ERROR 18/33
  • 19. MICROMETER SCREW GAUGE WITH NEGATIVE ZERO ERROR (READING 1) 19/33
  • 20. MICROMETER SCREW GAUGE WITH POSITIVE ZERO ERROR 20/33
  • 21. MICROMETER SCREW GAUGE WITH POSITIVE ZERO ERROR (READING 1) 21/33
  • 22. Inaccuracy and errors in measurement. 22/33
  • 23. Consistency  The consistency of a measuring instrument is its ability to register the same reading when a measurement is repeated.  A set of measurements are consistent if all the values are close to the mean value. 23/33
  • 24. The consistency of a measuring instrument can be improved by eliminating parallax errors during measurement. exercising greater care and effort when taking readings. using an instrument which is not defective. 24/33
  • 25. Accuracy Examples of Precision and Accuracy: Low Accuracy High Precision High Accuracy Low Precision High Accuracy High Precision Examples of Precision and Accuracy: Low Accuracy High Precision High Accuracy Low Precision High Accuracy High Precision Examples of Precision and Accuracy: Low Accuracy High Precision High Accuracy Low Precision High Accuracy High Precision  Accuracy is the degree of how close a measured value is to the actual (true) value.  Precision is how close the measured values are to each other. 25/33
  • 26. Ways to improve the accuracy of a measurement: a) Repeated readings are taken and the average value is calculated. b) Avoid parallax errors. c) Avoid zero errors. d) Use measuring instruments with a higher accuracy. 26/33
  • 27.  The sensitivity of a measuring instrument is its ability to respond quickly to a small change in the value of a measurement. Measuring Instruments Sensitivity Metre rule 0.1 cm Vernier callipers 0.01 cm Micrometer screw gauge 0.001 cm Wrist watch 1 s Analogue stopwatch 0.1 s Digital stopwatch 0.01 s Ammeter 0.1 A Miliammeter 1 mA Sensitivity  The smaller the minimum scale division, the more sensitive is the measuring instrument. 27/33
  • 28. The difference between the real value and the observed value. ERROR There are two main types of errors, that is a) Systematics error b) Random error 28/33
  • 29. SYSTEMATIC ERROR A systematic error is an error in reading the scale when a physical quantity is being measured. It caused by the instrument, observer and surroundings. 29/33
  • 30. Causes of a systematic error: a) A zero error occurs when the reading shown on the instrument is not zero while the true reading is zero. b) An error is caused when there is a flaw in the instrument. For example, the edge of a ruler which is worn out causes an error in the measurement of a length. c) An error is caused by a wrong assumption. d) Slow reaction when using an instrument causes an error. For example, there may be a delay in pressing a stop watch. e) An error caused by incorrect calibration of instruments. 30/33
  • 31. RANDOM ERROR 1) A random error is an error is an error which occurs when the observer is reading the scale on the measuring instrument. 2) A reading obtained when a random error occurs can be bigger or smaller than the true value, a positive or negative error may occur. 3) A random error can be reduced by taking the measurement of a physical quantity more than once and finding the average reading. 31/33
  • 32. Examples of random errors are: a)parallax error or error of measurement when a reading is taken from unsuitable position relative to the scale. b)error in the reading of the scale. c)error due to a change in temperature as the experiment is being carried out. 32/33