![]() Using the SEM as your uncertainty in your height, write your average height along with uncertainty as : average value + uncertainty.Ideally we would base our SEM on more than 10 values, but we will use only 10 in this learning situation to reduce the time needed to make the measurements. In that case we claim 68% certainty that the actual value is not different from the average of our measurements by more than the SEM. We often use the SEM an estimate of the uncertainty in result based on averaging many measurements. This is known as the Standard Error of the Mean.ġ1) In many cases (but not all) the SEM tells us the amount by which the our average value of our measurements might be different from the actual value. The video below demonstrates how to do this.ĩ) Record your average and standard deviation below:ġ0) Divide the standard deviation by the square root of the number (N) of samples you used in the average ( ). Use the spreadsheet to calculate the average and standard deviation of the height values in meters and use a neighboring cell to label each. If you encountered a problem during a trial then record a note explaining the problem, repeat the trial, cross out the original value, and record the new value next to it.Ĩ) Enter your data into a spreadsheet.Fill in the blank units with the unit you used and convert as necessary to get height in units.For example, a ruler with marks every 1 mm can provide roughly 0.5 mm precision, but the uncertainty will much greater if your hands are shaking while you make the measurement).ħ) Measure your height 10 separate trials and record in the chart below. ![]() (Hint: the uncertainty in a single measurement is not necessarily same as the precision in your instrument. Explain the measurement method you will use, including any difficulties you expect to encounter and how you will address them:Ħ) Estimate the uncertainty in a single measurement made with your method and explain your reasoning. Then use the ruler to measure from the wall to the object by successively marking the end and sliding the ruler along. For example, to measure your height with a only ruler and no assistant you could lay on the floor with your feet against the wall and drop a small object from the top of your head. You may need to get creative to measure your height with limited equipment. Data Collection: Heightĥ) Find a way to measure your height. ![]() You will each measure your height and walking speed and use the combined class data to test your hypotheses. ![]()
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