Comparing Variations:

1. For the following exercise, complete the following:

Find the mean, median, and rangefor each of the two datasets.

Find the standard deviationusing the rule of thumb for each of the data sets.

Compare the two sets and describe what you discover.

The following data sets shows the ages of the first seven presidents (President Washington through President Jackson) and the seven most recent presidents including President Obama. Age is given at time of inauguration.

First 7: 57 61 57 57 58 57 61

Second 7: 61 52 69 64 46 54 47

2. A data set consists of a set of numerical values. Which, if any, of the following statements could be correct?

There is no mode.

There are two modes.

There are three modes.

3. Indicate whether the given statement could apply to a data set consisting of 1,000 values that are all different.

The 29th percentileis greater than the 30th percentile.

The median is greater than the first quartile.

The third quartile is greater than the first quartile.

The mean is equal to the median.

The range is zero.

Instructions: Use only the data meant for each question for your calculation.

This solution is comprised of detailed step-by-step calculations and analysis of the given problems related to Statistics and provides students with a clear perspective of the underlying concepts.