Two students measured the length of a pencil five times each

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

Two students measured the length of a pencil five times each. Data set I (cm): 10.2, 10.1, 10.3, 10.2, 10.2 Data set II (cm): 10.5, 9.9, 10.6, 10.0, 9.8 Both data sets give nearly the same mean length. Which statement about their precision is correct? (a) Both data sets are equally precise because their means are almost equal.\text{Both data sets are equally precise because their means are almost equal.} (b) Data set II is more precise because its readings span a wider range.\text{Data set II is more precise because its readings span a wider range.} (c) Data set I is more precise because its readings deviate less from the mean.\text{Data set I is more precise because its readings deviate less from the mean.} (d) Precision depends only on the number of readings, so neither set is more precise.\text{Precision depends only on the number of readings, so neither set is more precise.}

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