MCQ
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 $3.0g$. On the basis of given data, mark the correct option out of the following statements.
Student
Readings
 
$(i)$ $(ii)$
$A$ $3.01$ $2.99$
$B$ $3.05$ $2.95$
  • A
    Results of both the students are neither accurate nor precise.
  • Results of student $A$ are both precise and accurate.
  • C
    Results of student $B$ are neither precise nor accurate.
  • D
    Rsults of student $B$ are both precise and accurate.

Answer

Correct option: B.
Results of student $A$ are both precise and accurate.
Average of redings of student $\text{A}=\frac{3.01+2.99}{2}=3.00$
Average of readings of student $\text{B}=\frac{3.05+2.95}{2}=3.00$
Correct reding $= 3.0$
For both the students, average value is close to the correct value.
Hence, readings of both are accurate. But readings of student $A$ are also close to each other $($differ only by $0.02)$ and also close to the average value, hence readings of $A$ are also precise.
But readings of $B$ are not close to each other $($differ by $0.1)$ and hence are not precise. Thus, results of student $A$ are both precise and accurate.

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