A tech startup’s daily active users (DAU) over a week were: 12,500, 14,200, 13,800, 15,100, 16,400, 15,900, 17,300. What is the mean absolute deviation (MAD) of DAU from the mean? - Redraw
Tech Startup’s Daily Active Users (DAU): Weekly Trends & Statistical Insights
Tech Startup’s Daily Active Users (DAU): Weekly Trends & Statistical Insights
Analyzing daily active users (DAU) is critical for tech startups aiming to understand user engagement and growth. Recently, a promising startup reported its DAU over a seven-day period as follows: 12,500, 14,200, 13,800, 15,100, 16,400, 15,900, and 17,300. These numbers reveal not only user interest but also offer a rich opportunity to assess consistency and volatility using statistical tools like the Mean Absolute Deviation (MAD).
Weekly DAU Breakdown
Understanding the Context
Here’s a summary of the DAU data for easy review:
| Day | DAU |
|-----|---------|
| 1 | 12,500 |
| 2 | 14,200 |
| 3 | 13,800 |
| 4 | 15,100 |
| 5 | 16,400 |
| 6 | 15,900 |
| 7 | 17,300 |
Total DAU over the week:
12,500 + 14,200 + 13,800 + 15,100 + 16,400 + 15,900 + 17,300 = 105,000
Calculating the Mean (Average DAU)
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Key Insights
Mean = Total DAU / Number of Days
Mean = 105,000 / 7 = 15,000
The average daily active user count is 15,000 — a strong baseline indicating consistent user engagement.
Mean Absolute Deviation (MAD) – A Measure of Variability
MAD quantifies how much DAU deviates from the mean, offering insight into user activity volatility. It is calculated as follows:
- Compute absolute deviations of each day’s DAU from the mean (15,000):
| Day | DAU | |DAU – Mean| |
|-----|--------|-----------|------------|
| 1 | 12,500 | |12,500 – 15,000| = 2,500 |
| 2 | 14,200 | |14,200 – 15,000| = 800 |
| 3 | 13,800 | |13,800 – 15,000| = 1,200 |
| 4 | 15,100 | |15,100 – 15,000| = 100 |
| 5 | 16,400 | |16,400 – 15,000| = 1,400 |
| 6 | 15,900 | |15,900 – 15,000| = 900 |
| 7 | 17,300 | |17,300 – 15,000| = 2,300 |
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Sum of absolute deviations:
2,500 + 800 + 1,200 + 100 + 1,400 + 900 + 2,300 = 8,100 -
MAD = Total absolute deviations / Number of days
MAD = 8,100 / 7 = 1,157.14
Interpretation
With a Mean Absolute Deviation of approximately 1,157, the DAU exhibits low to moderate variability around the weekly average. This means user counts tend to hover closely near 15,000, suggesting strong and stable daily engagement—ideal for a growing startup. Such consistency strengthens confidence in user retention and product-market fit, and helps inform predictable planning for marketing and development efforts.
Conclusion:
Tracking DAU is essential for tech startups, and combining raw numbers with statistical measures like MAD provides a clearer, data-driven picture. For this startup, daily active users remained remarkably consistent over the week, with an average of 15,000 and minimal swing—marking a solid foundation for sustained growth and scalability.
Keywords: DAU analysis, tech startup metrics, daily active users mean absolute deviation, user engagement statistics, startup growth tracking
