Question

which department had the highest productivity during weeks 3 and 4?

department 1
department 2
department 3
department 4
department 5

Explanation:

Identify the target departments and weeks

Using the Data Interpretation knowledge point

• Target period: Week 3 and Week 4.
• We need to evaluate the performance (percent to goal) for each of the five departments during these two weeks to find the highest overall productivity.

Extract data points for Week 3 and Week 4

Using the Data Interpretation knowledge point

• Department 1 (dark blue line with asterisks):
• Week 3: \(99\%\)
• Week 4: \(95\%\)
• Department 2 (yellow line with triangles):
• Week 3: \(100\%\)
• Week 4: \(101\%\)
• Department 3 (green line with squares):
• Week 3: \(101\%\)
• Week 4: \(105\%\)
• Department 4 (orange dashed line with diamonds):
• Week 3: \(89\%\)
• Week 4: \(102\%\)
• Department 5 (light blue dotted line with circles):
• Week 3: \(97\%\)
• Week 4: \(93\%\)

Calculate average productivity for the period

Using the Average Productivity Analysis knowledge point

• Department 1: \(\frac{99\% + 95\%}{2} = 97\%\)
• Department 2: \(\frac{100\% + 101\%}{2} = 100.5\%\)
• Department 3: \(\frac{101\% + 105\%}{2} = 103\%\)
• Department 4: \(\frac{89\% + 102\%}{2} = 95.5\%\)
• Department 5: \(\frac{97\% + 93\%}{2} = 95\%\)

Compare results to find the maximum

Using the Average Productivity Analysis knowledge point

• Comparing the averages: \(103\% > 100.5\% > 97\% > 95.5\% > 95\%\).
• Department 3 has the highest productivity during Weeks 3 and 4.

Answer:

• Department 1
• Department 2
• Department 3 (Correct answer)
• Department 4
• Department 5