A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings $5.50 \mathrm{mm}$, $5.55 \mathrm{mm}$, $5.34 \mathrm{mm}$, $5.65 \mathrm{mm}$. The average of these four reading is $5.5375 \mathrm{mm}$ and the standard deviation of the data is $0.07395 \mathrm{mm}$. The average diameter of the pencil should therefore be recorded as :

• A

  $\left(5.5375\pm 0.0739\right)\mathrm{mm}$
• B

  $\left(5.5375\pm 0.0740\right)\mathrm{mm}$
• C

  $\left(5.538\pm 0.074\right)\mathrm{mm}$
• Correct answer
  D

  $\left(5.54\pm 0.07\right)\mathrm{mm}$

Hence, the correct answer is option: 'D'.