The diameter of a spherical bob, when measured with vernier callipers yielded the following values: $3.33…

The diameter of a spherical bob, when measured with vernier callipers yielded the following values: $3.33 \mathrm{~cm}$, $3.32 \mathrm{~cm}, 3.34 \mathrm{~cm}, 3.33 \mathrm{~cm}$ and $3.32 \mathrm{~cm}$. The mean diameter to appropriate significant figures is:
  1. $3.33 \mathrm{~cm}$
  2. $3.32 \mathrm{~cm}$
  3. $3.328 \mathrm{~cm}$
  4. $3.3 \mathrm{~cm}$

Solution

$\begin{aligned} \text { Mean diameter } & =\frac{[3.33 \mathrm{~cm}+3.32 \mathrm{~cm}+3.34 \mathrm{~cm}+3.33 \mathrm{~cm}+3.32 \mathrm{~cm}]}{5} \\ & =3.328 \mathrm{~cm}\end{aligned}$ After rounding off to 2 decimal places. Final mean diameter $=3.33 \mathrm{~cm}$

Asked in: NEET 2023 (Manipur)

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