a1_burnscait.PDF - Stats193 Assignment Student ID –...

Stats193 Assignment
Student ID – 300536538
Name – Caitlin Burns
1a.
Categorical, Ordinal – salary
Categorical, Nominal – work accident, left, promotion last 5 years, department,
Numerical, Discrete – average monthly hours, number project, time spent company,
Numerical, Continuous – Satisfaction level, last evaluation
1b.
The mean for this data is 201.035. The standard deviation is 49.1 (2dp). The median is 200.
Lower quartile is 156, upper quartile 245 interquartile range of 89. The lower of 156 shows
that the lower 25% of the working hours which is scaled fairly for it to be a lower quartile for
the number of hours. The upper quartile was 245 which is a higher also scaled fairly high
however the interquartile range is only 89 showing that there is a large range in the middle
50% of the data so majority of the hours seem to do similar hours.
1c. The 85 th percentile of the hours that workers worked 260 or less hours in a month. This
number indicates that 85% of the people working worked 260 hours or less. Because the
85 th percentile is a large section of my overall sample it shows that large majority of the
hours that were worked in my sample worked 260 hours or less than that. Our sample size
was 14,993 which means 2248.95 workers worked equal to or more.
1d.
In my histogram above the highest-class interval measures at 0.91 – 1.00 and there are 2
individuals in this interval this could be considered as an outlier as the last class interval. The
histogram seems to be unimodal as there is one peak that is a little higher than the others
this meaning that the employers were more satisfied in that workplace than others. The

class interval being 0.73 – 0.82 in which the number of workers which we’re satisfied was
2115. There is a left skewed in this distribution when looking at the histogram which says
that more employers overall are satisfied in their workplace. The reason that there is only
one mode making it unimodal, and the majority of the data is clustered in middle right side
of the graph.