According to Chebyshev’s Theorem 75% of the data for your gender lies between what two heights?

According to the National Center for Health Statistics, the mean height of an American male is 69.3 inches and the mean height of an American female is 63.8 inches. The standard deviation for both genders is 2.7 inches.

According to Chebyshev’s Theorem 75% of the data for your gender lies between what two heights?

If height is assumed to be normal, what percentage of the data lies between those same two heights?

Look in the Guided Worksheets on page 49 for more information.

A Microsoft Excel spreadsheet is required for this DQ.

Guided worksheet and additional resources to help answer the discussion question. Make sure to explain your answer for part 2 using a rule or calculation.

Hello,

This DQ is more about reading carefully what is being asked and looking over the definition of Chebyshev’s Theorem and Normal distribution.

In part 1, you are asked to find two new heights based on the information provided in the DQ and the definition of Chebyshev’s Theorem. This will be two small calculations needed in Excel.

In part 2, you are asked to use the information from part 2, and that is the number of Standard Deviations your two new heights are from the mean. Use the definition of Normal Distribution to determine the percentage of data within your two new heights from part 1. This will be done by knowing the number of SD your heights are away from the mean. You can provide a small calculation here or a justification for your percentage. Just stating the percentage is not enough.

You can find the guided worksheets by signing into MyMathLab. Then select guided worksheets on the left hand side. Page 49 of the guided worksheet is really PDF page 57. At the top of the page you will see Normal Distributions. I attached the guided worksheet for just this question if that is easier for you. If you like it you can find the rest of the guided worksheets in MyMathLab.

Here is a video to help you with the discussion question. You will find information for both parts of the discussion question.

https://mediaplayer.pearsoncmg.com/assets/gtq1e_3_5_1_23_95_rule

Additional videos to help if needed

https://www.mathsisfun.com/data/standard-normal-distribution.html

Here is a video explaining normal distribution.

6C The Normal Distribution http://media.pearsoncmg.com/pls/us/phoenix/1269607278/6c.html