lesson
Updated 6 days ago · 2 views
If you drop a ball from the exact same height three times, your timer will show three slightly different times. Why does identical physics give different numbers?
Random errors like human reaction time cause slight variations between repeated measurements, which scientists call replicate trials.
What Is Range?
The range is the simplest measure of spread in your data, defined as the difference between the largest value and the smallest value.
Range=Maximum Value−Minimum Value
📊A visual number line showing data spread for three trials: 1.42 s, 1.48 s, and 1.55 s. Clean horizontal axis labeled 'Time (s)' from 1.35 to 1.60 in steps of 0.05. Three circular blue dots plotted at 1.42, 1.48, and 1.55. A bold green highlight bar spans the distance from 1.42 (Minimum) to 1.55 (Maximum), with a double-ended arrow and label 'Range = 1.55 - 1.42 = 0.13 s'. Clean card layout, modern sans-serif fonts, #1e2945 text, #f8f9fa background.
The range always carries the same units as the original measurements, such as seconds, grams, or centimeters.
How do you calculate the range systematically when given raw experimental data?
Step-by-Step Calculation
Suppose a student measures the extension of a spring under a 2.0 N load across three trials: 14.2 mm, 14.8 mm, and 14.1 mm.
First, scan the set to identify the extreme values: the maximum is 14.8 mm and the minimum is 14.1 mm.
Next, subtract the minimum from the maximum to find the spread: 14.8 mm−14.1 mm=0.7 mm.
📊An interactive step-by-step card showing the calculation. Top card: 'Raw Data: [14.2 mm, 14.8 mm, 14.1 mm]'. Step 1 card: highlights 'Min: 14.1 mm' (orange badge) and 'Max: 14.8 mm' (purple badge). Step 2 card: shows formula equation with colored numbers: 'Range = 14.8 - 14.1 = 0.7 mm'. Step 3 card: 'Final Answer: 0.7 mm'. Clean badge-based UI with soft gray borders (#e6e6e6) and high-contrast typography.