# Normal Distribution and Standard Deviation

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Student Exploration: Sight vs. Sound Reactions Vocabulary: histogram, mean, normal distribution, range, standard deviation, stimulus Prior Knowledge Questions (Do these BEFORE using the Gizmo.) Most professional baseball pitchers can throw a fastball over 145 km/h (90 mph). This gives the batter less than half a second to read the pitch, decide whether to swing, and then try to hit the ball. No wonder hitting a baseball is considered one of the hardest things to do in sports! 1. What are some things in your life you must react to quickly? You need to react quickly when you are in danger, and you need to get away. You also need to react quickly when you are in a car so you don’t get hurt 2. In general, do you think…show more content…
Explain. I don’t think that mine has normal distribution. Mine has a wide range of numbers, but I don’t think that it is distributed like a normal graph should be distributed ­ 7. Experiment: On the GRAPH tab, click Clear data. This time, try to vary your response times randomly as you take the test. Click Start and take the test. A. What is the mean of this new set of values? 0.344 B. What is the range of this set? 0.26 C. What is the standard deviation of this set? 0.0872 8. Analyze: How does the standard deviation relate to the consistency and range of a data set? The standard deviation is the mean multiplied by the range of the numbers. Activity B: Visual and auditory stimuli Get the Gizmo ready: Click Clear data. Introduction: We perceive stimuli through nerve cells in our eyes, ears, nose, tongue, and skin. When a nerve cell is stimulated, it sends an electrical signal to the brain. After the signal is processed by the brain, other signals are sent to our muscles as we react to the stimulus. Question: Do we react more quickly to visual or auditory stimuli? 1. Form hypothesis: Do you think you will react more quickly to sights or sounds? Explain why. I will react quicker to sounds because my brain has a slower reaction time for sight because of a concussion I got when I was younger. 2. Gather data: Select the TABLE tab. Use the Gizmo to run