Statistics - Desklib

Running head: GROUP ASSIGNMENT – STATISTICS
Statistics
Name
Course Number
Date
Faculty Name

STATISTICS 2
Statistics
1. Frequency distribution and histogram
a) Frequency, relative frequency and percent frequency distributions with a width of 50
dollars
Width Frequency Relative
Frequency
Percent Cumulative
Percent
150 3 0.06 6% 6%
200 15 0.3 30% 36%
250 14 0.28 28% 64%
300 6 0.12 12% 76%
350 4 0.08 8% 84%
400 3 0.06 6% 90%
450 3 0.06 6% 96%
500 2 0.04 4% 100%
b) Shipping Charges based on the percent frequency

STATISTICS 3
150 200 250 300 350 400 450 500 More
6%
30% 28%
12%
8% 6% 6% 4%
0%
Shipping Charges Percent Frequency
Percent frequency
The data is skewed to the right with more furniture shipping charges observed to be
below 300 dollars. Most of the charges recorded are between 150 and 200 and 200 to 250 with a
percent frequency of 30% and 28% respectively. 4% of the charges were above 500 dollars.
Based on the skewed distribution of the furniture shipping charges, we can conclude that most of
the shipments done cost below the average value(Hooft, Straver, & Spek, 2009; Tsokos, Wooten,
Tsokos, & Wooten, 2016).
c) The most appropriate measure of central tendency
Due to the skewness of the data, the median statistic is the best measure of central
location because it is not affected by extreme values in a sample. However, using the arithmetic
mean will be misleading because most of the charges (76%) were below 350 dollars and the
median value was $228.5 compared with a mean of $251.46. The median value is slightly lower
than the mean showing that the data was skewed to the right.