Normal_Distribution

=**Normal Distribution**= Developed 2012, Updated June, 2017

1. Estimate the standard deviation (+1/-1 and +2/-2 SD locations) from a parent population (created with the Curve device) using the draw tool (as you discover the Empirical Rule). 2. Solve probability problems for given situations (assuming a normal distribution) using a probability calculator (many are available to choose from). 3. Read the Rat Terriers activity. 4. Calculate probabilities for given situations (assuming a normal distribution) using z-scores and the probability calculator. 5. Illustrate the formula in a case table (not quizzed over)
 * MATH 623 activities and quiz topics**

Watch Normal Distributions, Standard Deviations etc. (Nurse Killam) 5:06

Activity 1. Read through the presentation and experiment with the TP files. media type=custom key=29251271 (Hard copy of the presentation shown above.)



Run the sampler to generate Graphs 1-3 (use the raw data fTP file). Experiment with curves that generated graphs 4-7. The pdf files are screen shots if you want a hard copy

Activity 2. Solve probability problems with population parameters and the probability calculator. Car Insurance, Shower Time, Meat Consumption, Age of cars, Emergency Response Time, Pain Reliever and Microwave Ovens. media type=custom key=29234121 probability calculator (Hard copy of the presentation shown above.)

Activity 3.** Read Rat Terriers **

Activity 4. Calculate probabilities for given situations (car insurance, etc) with normally distributed data using z-scores and the probability calculator. You will need a regular calcualtor to find the z-scores.

Activity 5. Calculate the Standard Deviaiton (using the formula) in a TinkerPlots case ta** ble. ** You will not be expected to duplicate this activity for a quiz or test. media type=youtube key=rGjfTcJAh4Y width=560 height=315 width="560" height="315"

**Optional** - Kahn Academy Video This is the traditional method of instruction for z-scores.

// Estimated completion time is less than two hours. //