A company employs 80 people, each with a different salary. Among these 80 salaries, Mark's salary of \$43,700 is the second-highest in the first quartile. If 8 new employees are hired at salaries below the current minimum salary, what is Mark's new position among the 88 salaries?
With 80 employees, the first quartile (Q1) covers the bottom 25%, which is the bottom 20 salaries (positions 1–20). Mark is the 2nd-highest in Q1, meaning he is at position 19 out of 80.
After hiring 8 new employees at the lowest salaries, there are 88 employees. The new employees occupy positions 1–8. Everyone else shifts up by 8 positions.
Mark's new position: $19 + 8 = 27$ out of 88.
New Q1 covers positions 1–22 (bottom 25% of 88). Mark at position 27 is above Q1, now in Q2.
Mark is the 5th from the bottom of Q2 (positions 23, 24, 25, 26, 27 → 5th lowest in Q2).
Answer: The fifth-lowest salary in the second quartile.
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