Note: The figure shown is representative.
A
Step-by-Step Solution
Key idea: This is a weighted average and linear transformation question, recognisable because it gives a frequency distribution (bar chart) and asks for the average of a linear function of the variable.
Step 1: Calculate the total number of patients across all shifts. From the chart: (5 20) + (6 40) + (7 30) + (8 10) = 100 + 240 + 210 + 80 = 630.
Step 2: Calculate the average number of patients per shift, \bar{X}. \bar{X} = 630 / 100 = 6.3.
Step 3: Apply the linear transformation for earnings. The average earnings per shift is 1000(\bar{X} - 0.2).
Step 4: Substitute \bar{X}: 1000(6.3 - 0.2) = 1000(6.1) = 6100.
Answer: A