A data set has a mean of 25 and a standard deviation of 5. If each value is multiplied by 2 and then 10 is added, what is the new standard deviation?

Wed, 06 May 2026 07:30:42 +0000

**Why shifting averages and constants changes standard deviation — and why it matters in 2024** In an era where data shapes everything from financial decisions to lifestyle choices, a quiet but crucial shift in statistics often goes unnoticed—yet it defines how we interpret trends. Consider a data set with a mean of 25 and a standard deviation of 5. If every number in the set is first doubled and then increased by 10, how does that affect the standard deviation? This isn’t just a math riddle—it’s a foundational concept influencing fields like finance, psychology research, and user behavior analysis. This article clarifies the transformation with precision and relevance to current US audiences seeking clarity in a data-driven world. **Why this question is resonating in 2024** Across US communities—whether in business, education, or personal finance—people encounter datasets daily, from household budgets to app engagement metrics. Understanding how operations like scaling values impact statistical measures simplifies making informed decisions. The transformation described—multiplication by 2 and addition of 10—is a common analytical adjustment, often used when normalizing data for comparisons or modeling real-world scenarios. With mobile-first search trends accelerating demand for clear, actionable insights, this concept is increasingly relevant.