Normal Distribution

Developed 2012, Updated June, 2017

MATH 623 activities and quiz topics
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)


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


Activity 1. Read through the presentation and experiment with the TP files.

Normal Distribution Introduction pdf
(Hard copy of the presentation shown above.)

CurveDevice4-6.png

Run the sampler to generate Graphs 1-3 (use the raw data fTP file).
Experiment with curves that generated graphs 4-7.
NDist_Graphs1-3_Raw
NDist_Graphs1-3(TinkerPlots)
NDist_Graphs4-6(TinkerPlots)
NDist_Graph7(TinkerPlots)
The pdf files are screen shots if you want a hard copy
Graphs1-3(graphic)
Graphs4-6(graphic)



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.

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.
NDProb_zscore.pdf
ND_Prob_zscores_Keyb.pdf


Activity 5. Calculate the Standard Deviaiton (using the formula) in a TinkerPlots case table.
You will not be expected to duplicate this activity for a quiz or test.

Sunflower_SD_Formula.tp

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

Estimated completion time is less than two hours.