z Score and percentile rank calculation
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z Score and percentile rank calculation

Assignment 3

Activity 1:

z Score and percentile rank calculation

Your book discusses the relation between z scores and percentile ranks. In this activity, you will apply this information in a new way.

The information in this activity was obtained from https://www.cdc.gov/nchs/data/series/sr_11/sr11_252.pdf (Links to an external site.)Links to an external site.

Answer the following questions using the area under the curve table in your book. Assume a normal distribution.

1. Females 20+ years old have an average weight of 166.2 pounds. A person at the 5th percentile = 110.7 pounds. What is the standard deviation?

1. First, what is the z score of the 5th percentile?

2. Input the z score into the z score equation (provided in book) along with the mean

3. Calculate

2. Males 20+ years old have an average weight of 195.5 pounds. A person at the 75th percentile is 218.0 pounds. What is the standard deviation?

1. First, what is the z score of the 5th percentile?

2. Input the z score into the z score equation along with the mean

3. Calculate

Hint
Statistics"Percentile is used every day, but its universal definition does not exist. A percentile rank is basically derived from the percentile. A percentile range represents the difference between 2 specified percentiles. Theoretically, this might be any 2 percentiles, but the most common percentile range is 10-90."...

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