The data should be recorded to 001s student must try

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
the student’s hands. The data should be recorded to 0.01s. Student must try to keep the amplitude of the pendulum swing consistent, even if it means restarting. Next the students will use all of the data to compute the mean value of the period and the standard
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
deviation of the mean., using the formulas x= Σ n i=1 x i /N where N=number of trials and σ=sqrt(Σ n i=1 (x i -x) 2 /N). Next the students must plot a histogram. In order for a student to do that, they will need a “bin” number. To get that they will divide the range of measured values into ten intervals otherwise known as bins. Firstly divide the range of measurement by 10((data point max-data point min)/10). Next the students must figure out the last column of data with the analytical formula for the normal distribution, which is only valid for large number of measurements, n=N 0 exp{-(t-T) 2 /2σ2), where t is the mean value and N 0 corresponds to the peak of the distribution curve, which occurs at t=t. Then plot this function on the same graph to observe how well their measurements approximate the ideal distribution. After plugging in all the formulas and graphing the two histograms on the same scatterplot our curve is not exactly “normal” but it is pretty close to a bell-shaped curve, which is considered “normal.” Unfamiliar Terms : Standard Deviation :   a measure of dispersion in a frequency distribution, equal to the square root of the mea of the squares of the deviations from the arithmetic mean of the distribution.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern