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The Scientific Method Imagine a police investigation of a car accident. You are the detective. How would you figure out what happened?
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Step 1: Make observations and collect data
Step 2: Form a Hypothesis (also called an educated guess) - I think this is what happened…. Step 3: Do experiments to test your hypothesis Step 4: Revise hypothesis, if necessary, according to experimental data Step 5: Draw a final conclusion: “This is what happened”
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Accuracy and Precision
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Accuracy: Extent to which a measured value agrees with an accepted (true) value. Factors that affect accuracy - Human error - avoid by taking several measurements Method error - avoid by using standardized methods Example: error due to parallax Parallax - Shift of an objects apparent position when viewed from different angles. Avoid by proper maintenance and calibration Instrument error - Examples: warping of meter stick balance sticking or not calibrated
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8.4 cm Precision Degree of exactness or refinement of a measurement
Based on limitation of the instrument 8 9 cm 8.4 cm Estimated digit Read as
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Consider 8 9 cm Read as: 8. 4 2 cm * Proper precision: record measurements to 1/10 of smallest division on a scale Meter stick or ruler: estimate to 1/10 of a mm or 1/100 of cm
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Consider cm 9 8 Read as: 8. 4 cm
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Consider cm 9 8 Read as: 8. cm
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- indicates how reproducible the results are.
Data Sets Accuracy - How close a measurement or set of measurements are to a true or accepted value Example: A student’s known height is cm. Another student measures it as cm. ( not very accurate) The nurse measures it as cm ( accurate) Precision of a group of measurements: How closely the measurements agree to one another. - indicates how reproducible the results are.
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Precise & Accurate Not Precise Not Precise Not Accurate
Analogy with shots at a target. Precise & Accurate Precise Not Accurate Not Precise Fairly Accurate Not Precise Not Accurate
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True/Accepted Value: 21.00 cm
Group 1 Group 2 Group 3 21.00 cm 21.01 cm 21.02 cm 20.98 cm 21.00 cm 22.00 cm 18.00 cm 23.00 cm 17.50 cm 17.52 cm 17.48 cm 17.45 cm 17.51 cm Avg 21.00 cm 21.00 cm 17.49 cm Accurate and precise Accurate not precise Precise not accurate
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The following students measure the density of pieces of lead three times. The density of lead is actually 11.34 g/cm3. Identify the following sets of data as accurate or precise. 1) g/cm3, g/cm3, g/cm3 2) g/cm3, g/cm3, g/cm3 3) g/cm3, g/cm3, g/cm3
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