Calculate the third quartile (Q3) salary [2 marks]. Explain what the Q3 position indicates about the market [1 mark] and what positioning HR Manager salaries at the median [1 mark] versus Q3 [1 mark] would mean for Nala Bank’s remuneration strategy. (5)

Business/Management

ScanSolve AI Answer

Answer

R762 500\text{R}762\,500

Step-by-step solution

3 steps
  1. Calculate the third quartile (Q3) salary.

    The ordered salaries are: R502 000, R525 000, R550 000, R650 000, R750 000, R800 000.
    There are n=6n=6 data points.
    The position of the third quartile (Q3) is given by the formula:

    Position of Q3=3(n+1)4\text{Position of Q3} = \frac{3(n+1)}{4} Position of Q3=3(6+1)4=3×74=214=5.25\text{Position of Q3} = \frac{3(6+1)}{4} = \frac{3 \times 7}{4} = \frac{21}{4} = 5.25

    This means Q3 is located 25% of the way between the 5th and 6th values.
    The 5th value is R750 000.
    The 6th value is R800 000.

    Q3=5th value+0.25×(6th value−5th value)\text{Q3} = \text{5th value} + 0.25 \times (\text{6th value} - \text{5th value}) Q3=750 000+0.25×(800 000−750 000)\text{Q3} = 750\,000 + 0.25 \times (800\,000 - 750\,000) Q3=750 000+0.25×50 000\text{Q3} = 750\,000 + 0.25 \times 50\,000 Q3=750 000+12 500\text{Q3} = 750\,000 + 12\,500 Q3=R762 500\text{Q3} = \text{R}762\,500
  2. Explain what the Q3 position indicates about the market.

    The third quartile (Q3) of R762 500 indicates that 75% of HR Manager salaries in the external market are below this amount, and 25% are above it. It represents the upper end of typical market salaries.

  3. Explain the implications for Nala Bank's remuneration strategy.

    • Positioning HR Manager salaries at the median (R600 000) would mean Nala Bank aims to pay its HR Managers at a competitive, middle-of-the-road level, aligning with the typical market rate without being a market leader or laggard. This is a cost-effective approach that still attracts a good pool of candidates.
    • Positioning HR Manager salaries at Q3 (R762 500) would mean Nala Bank aims to pay its HR Managers in the top 25% of the market. This is a market-leading strategy designed to attract and retain top-tier talent by offering significantly above-average compensation, but it comes with higher salary costs.

    The third quartile (Q3) salary is R762 500\boxed{\text{R}762\,500}.

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