Question 2
Part a
i)
ii) This is a continuous data.
iii) From the above table, the two measures of location that we do have are median and
mean. Using mean, then men have greater salary on average (31.7 thousands of pounds)
compared to women who have salary of 27.1 thousands of pounds. On the other hand
when median is used we still find that the same men have greater salary on average (32
thousands of pounds) compared to women’s 26.5 thousands of pounds.
iv) From this table, the three measures of spread that we have are range, inter quartile range
and standard deviation. Considering the range of women’s salary (11 thousands of
pounds) versus men’s salary (10 thousands of pounds) we find that women’s salary has
a greater variability than those of men. The standard deviation for women salary (3.5
thousands of pounds) also has a greater variability compared to standard deviation of
men’s salary of 3.0 thousands of pounds. Lastly the inter quartile range for women’s
salary (6 thousands of pounds) also shows a greater variability than men’s 3 thousands
of pounds. In conclusion having looked at the three measures of spread we can say that
women’s salary showed greater variability compared to men’s.
Women’s salaries
(thousands of pounds)
Men’s salaries
(thousands of pounds)
Min 22 26
median 26.5 32
max 33 36
Mean 27.1 31.7
SD 3.5 3.0
IQ range 6 3
Range 11 10

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