Question

Two student performed the same experiment separately and each one of them recorded two readings of mass which are given below. Correct reading of mass is $3.0g$. One the basis of given data, mark the correct option out of the following statement.

Student	Reading
$A$	$3.012.99$
$B$	$3.052.95$

• A. Results of both the students are neither accurate nor precise.
• B. Results of students $A$ are both precise and accurate.
• C. Results of students $B$ are neither precise and nor accurate.
• D. Results of students $B$ are both precise and accurate.

Answer 1

The correct option is B Results of students $A$ are both precise and accurate.

Students $A$:
Average reading $=\frac{3.01+2.99}{2}=3.0g$
Student $B$: Average reading $=\frac{3.05+2.95}{2}=3.0g$
For both the students $A$ and $B$, average reading is close to the correct reading $(i.e.,3.0g)$. Hence, both recorded by student $A$ are more precise as they differ only by $\pm 0.01$, whereas readings recorded by the student $B$ are differ by $\pm 0.05$. Thus, the results of student $A$ are both precise and accurate.

Precision refers to the closeness of various measurements for the same quantity and accuracy is the agreement of a perticular value to the true value of the results. Results of student $A$ are very close to $3g$.