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# Frequency Distribution with Skewed Data

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1. Identify three uses for a frequency distribution. Please provide realistic health related examples.

2. Briefly identify the differences between a normal, positive and negative skew. How does this skew or distribution curve relate to standard error? What does the standard error mean for the results? Feel free to use and example to explain your answer.

https://brainmass.com/statistics/descriptive-statistics/frequency-distribution-skewed-data-standard-error-599385

#### Solution Preview

The uses for a frequency distribution are
1. To easily assess the descriptive statistics for a data set such as its median, mean and standard deviation. For example, a frequency distribution showing the number of customers arriving at a health centre for each hour of the day can help the management in identifying the peak hours and adjusting staff deployment accordingly.
2. As the basis of standard hypothesis testing i.e. statistically testing if an observed hypothesis can be termed as being true or not. A frequency table helps understand the differences and similarity across data sets and understand potential hypotheses as well as validate these. For example, a hypothesis such as "the number of reported cases of cold and flu increase ...

#### Solution Summary

The writeup describes 3 uses of frequency distribution with examples, the differences between normal, positively skewed and negatively skewed data and how measures such as standard error are affected in cased of skewed data sets

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## Frequency, variation and distrinbution

See attached file for full problem description.

The per capita personal income by state (including the District Columbia), in thousands of dollars, follows.

1. Organize these data into a frequency distribution.
2. What is a "typical" per capita income for a state?
3. How much variation in the income data is there?
4. Is the distribution symmetrical?