Aggregation Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyMonthly sales (\$thousands): Jan–Mar: 50, 60, 55; Apr–Jun: 80, 90, 85; Jul–Sep: 40, 35, 45. Calculate quarterly totals and annual total. What pattern does aggregation reveal?
Solution
- 1 Q1 (Jan-Mar): ; Q2 (Apr-Jun): ; Q3 (Jul-Sep):
- 2 Annual total (9 months):
- 3 Pattern revealed by aggregation: Q2 is strongest quarter (255 vs 165 vs 120); clear seasonal pattern
Answer
Q1=165, Q2=255, Q3=120 (\$thousands). Q2 is the peak quarter; seasonal pattern is visible.
Aggregating to quarters reduces noise and reveals seasonal business patterns that are harder to see in monthly data. Aggregation at the right level reveals the appropriate pattern — too granular: noise; too aggregated: patterns disappear.
About Aggregation
Aggregation is the process of combining many individual data values into a single summary statistic such as a sum, mean, count, or proportion.
Learn more about Aggregation →More Aggregation Examples
Example 1 medium
Simpson's Paradox: Hospital A has a 90% recovery rate overall. Hospital B has 85%. However, for seve
Example 2 easyDaily temperatures: Mon=20°, Tue=22°, Wed=19°, Thu=25°, Fri=21°. Calculate the weekly mean and expla
Example 4 hardA school reports average SAT scores improved 20 points. But when broken down by income group, scores