Rainfall Project
Here is what I have given you do so far with your rainfall
data.
1. Draw a histogram for Davis and another for Sacramento,
where the x axes are labeled with the number of inches of rainfall and
the y axes are a measure of the frequency. For the x axes you should
use intervals of 5 inches of rainfall--i.e. 0 to 4.9, 5 to 9.9, 10 to 14.9
etc. So the data points 12.3, 14.2, 11.7 would all fit into the bar
labeled 10 to 14.9.
2. What interval of rainfall has the highest frequency
for each city?
3. Find the mean, median and mode of the rainfall
for Davis and Sacramento.
4. For both Davis and Sacramento list:
a. the lower extremes (LE)
b. upper extremes (UE)
c. lower quartile (LQ)
d. upper quartile (UQ)
e. lower end of the inner fence
f. upper end of the inner fence
g. any outliers
5. Draw a box and whisker plot for Davis and Sacramento
on the same number line. Compare and comment.
6. Place an x on your box plots for the place where
the mean would fall.
7. Definition: If the mean lies to the
right of the median then we say the data is skewed to the right; if the
mean lies to the left of the median, the data is skewed to the left and
if the mean = median then the data is symmetric. According
to the definition, are the data sets for Davis and Sacramento, skewed right,
left or symmetric?
8. Make a time series plot of the data for Davis
and Sacramento on two separate graphs.
9. Smooth each time series plot.
10. Compare the smoothed graphs and comment.
Were there periods of drought?
11. Find the standard deviations (you already found
the means) for the rainfall data for Davis and Sacramento.
12. Compare the rainfall for the year 1940 for
Davis and Sacramento relative to to the rainfall for Davis as a whole and
Sacramento as a whole (ie. compare z-scores)
13. Does the city with the greatest number of inches
of rain in 1940 also have the largest z-score?
14. One year Sacramento got 36.1 inches of rain.
Is this significantly high? Is this a highly significant amount of
rain?
This is the end of the Rainfall Project. (Yeah!!!)
You can turn this in at any time. You don't have to wait until the
end of the semester.