In: Statistics and Probability
Use the internet to find a data set. Key terms to search: Free Public Data Sets and Medical Data Sets.
Introduce your Data Set and Cite the Source.
Why was this data interesting to you?
Calculate measures of central tendency (Mean, Median & Mode) and measures of variation (Range and Standard Deviation) for your data.
Write a sentence for each calculation explaining what that value means in context of your data.
1. Download the data from the following site.
2. Put the data in excel as shown.
3. Find the summary statistics, the formulas to be used as also
shown.
Observations about the data
MPG
The mean and median are almost equal and hence we can expected the
data to be normally distributed.
Most of the cars have an MPG of 13.
Cylinders
We find the median and mode are equal. However there are some cars
which have a higher number of cylinders due to which the overall
value of the mean is higher than the median or the mode.
Displacement
We find the standard deviation is very high, hence we find a very
high varaiblility in the data for this variable.
The mean and median lower than the mode, indicate the distribution
is right skewed.
Horesepower
We find the mode is greater than median and mean, indicating that
the data is left skewed.
Weight
Here we find the mean and median are almost equal and we can expect
the data to be normal distributed.