Statistics: Frequency Distribution, Regression Analysis, and Hypothesis Testing

Statistics
Name:
Institution:
24th May 2018

Question 1:
a. Prepare a frequency distribution, relative frequency distribution, and percent frequency
distribution for the data set using a class width of $50.
Solution
Class Frequency Relative
frequency
Percent
frequency
120-169 8 0.16 16
170-219 15 0.3 30
220-269 12 0.24 24
270-319 4 0.08 8
320-369 5 0.1 10
370-419 2 0.04 4
420-469 2 0.04 4
470-519 2 0.04 4
Total 50 1.00 100%
b. Construct a histogram showing the percent frequency distribution of the furniture-order values
in the sample. Comment on the shape of the distribution.
Solution
The figure below presents the histogram for the furniture order. As can be seen, the distribution
of the data is skewed, particularly it is skewed to the right (that is, it has a much longer tail to
the right).
c. Given the shape of the distribution in part b, what measure of location would be most
appropriate for this data set?
Solution
Since the data is skewed, median would be the best measure of location.