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Answer :
Final answer:
The third quartile for salaries offered to Bachelor of Business graduates from the given data set is $38.45 thousand. It is calculated by first ordering the data, splitting it into two halves, and then finding the median of the upper half.
Explanation:
The student is looking to find the third quartile of the salaries offered to Bachelor of Business graduates. To do this, we first need to arrange the data in ascending order:
22.7, 24.2, 25.0, 25.9, 27.0, 28.3, 30.2, 33.2, 35.8, 38.1, 38.8, 41.5, 44.7
The third quartile, also known as Q3, is the median of the upper half of the data. With 13 responses, we split the data into the lower half (first six salaries) and the upper half (last six salaries), excluding the median (30.2). Looking at the upper half:
33.2, 35.8, 38.1, 38.8, 41.5, 44.7
The median of these six figures is the average of the middle two numbers, 38.1 and 38.8, which gives:
(38.1 + 38.8) / 2 = 38.45
Therefore, the third quartile is $38.45 thousand.
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