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Question
four students measure the length of a minute - long trial four times. they record their measurements as shown. julian: 57.3 seconds, 58.8 seconds, 59.5 seconds, 62.1 seconds mia: 58 seconds, 59 seconds, 60 seconds, 61 seconds sonu: 50 seconds, 60 seconds, 60 seconds, 70 seconds parul: 57.23 seconds, 59.32 seconds, 62.34 seconds, 63.91 seconds whose measurements were the most precise? julians mias sonus paruls
Step1: Recall precision concept
Precision refers to how close a set of measurements are to each other.
Step2: Calculate range for each student
- Julian: Range = $62.1 - 57.3=4.8$
- Mia: Range = $61 - 58 = 3$
- Sonu: Range = $70 - 50=20$
- Parul: Range = $63.91 - 57.23 = 6.68$
Step3: Compare ranges
The smaller the range, the more precise the measurements. Among the ranges $4.8$, $3$, $20$ and $6.68$, $3$ is the smallest.
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