Kevin Wright
Summary Statistics
Small Cars: Median=133.5, Maximum=247, Minimum=63, Standard Deviation=50.2619,
Lower Quartile= 102.5, Upper Quartile= 146.25, Outliers= 247 246 221, IQR=49.65
Mid-Sized Cars: Median= 102, Max=169, Min=58, Standard Deviation= 30.05, Lower
Quartile= 78.5, Upper Quartile=126.5, IQR= 48, Outliers= None
Large Cars: Median= 68, Min=39, Max= 92, Standard Deviation= 14.25, Lower
Quartile=57.25, Upper Quartile= 78.5, IQR=21.25, Outliers= None
Descriptions:
Small Cars: The graph is skewed slightly to the right. The small cars did fairly poor when
compared to the relative injury loss average term of 100. Its median was 133.5, which is 33.5%
above the average injury loss results. It had several high outliers of 221, 246, and 247, which was
121%, 146%, and 147% above the safety average. The IQR was fairly high, 49.65, which
translates to a 49.65% variance in the 25th and 75th percentiles, which is not good at all when
considering the Min was only 63. That leads me to claim that 75% of the data was worse than
safety average of 100.
Mid-Sized Cars: The graph is skewed slightly to the right. The Mid-Sized cars did about
average when comparing to the relative injury loss average of 100. The Median was 102, and the
standard deviation is low at around 30.05. Looking at the quartiles and median, it can be
concluded that a little less than 50% of the cars were below relative injury loss average of 100.
Large Cars: The graph is skewed slightly to the left. The Large cars did excellent when
compared to the relative injury loss average of 100. The median for the large cars was 68, the IQ
was only 14.25, and the Maximum was 92. So 100% of the data was below the relative safety
average.
Comparisons
Overall the Large Cars had the best relative injury loss totals. 100% of its data was below
the relative average injury loss of 100. Only around 50% of Mid-sized vehicles, and 25% of
Small cars were below the 100 average. Large Cars also had the smallest Standard Deviation and
IQR, both which allow one to compare medians and means.
Recommendation
I would recommend that the company should raise the insurance rates on drivers who
have Small cars the most, do not change the Mid-Size rates, and lower the Large Car rates. Since
the Injury Loss time is highest with drivers of small cars, the company would make the most
money raising the rates for those drivers. Since the Mid-Size cars are in the middle of average
injury loss time, their rates should remain the same, and not increase or decrease significantly.
Large Cars have such a low injury loss time that the drivers of those vehicles deserve to have
their rates lowered enough so that it may be incentive enough for a small car driver to get a big
car so they can take advantage of the low rates.