Question

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

$\begin{array}{ccc}Students& & Reading\\ & \left(i\right)& \left(ii\right)\\ A& 3.01& 2.99\\ B& 3.05& 2.95\end{array}$

(a) Results of both the students are neither accurate, nor precise

(b) Results of students A are both precise and accurate

(c) Results of student B are neither nor accurate

(d) Results of student B are both precise and accurate

Answer 1

Answer: (b) Results of students A are both precise and accurate

Average of reading of student, $A=\frac{3.01+2.99}{2}=3.00$
Average of reading of student, $B=\frac{3.05+2.95}{2}=3.00$

Correct reading = 3.00

For both the students, average value is close to the correct value. Hence, reading of both are accurate.

Readings of students, the average value is close to each other (differ only by 0.02) and also close to the correct reading hence, readings of A are precise also. But the reading of B are not close to each other (differ by 0.1) and hence are not precise.