Chapter 2.3, Problem 34PP

Interpretation Introduction

Interpretation:

Based on calculations in question 32 and 33, student who has most accurate trials and least accurate trials is to be identified.

Concept introduction:

Any measurement that is done has certain uncertainties. The uncertainty in the measurement is indicated by accuracy and precision. Accuracy is when the measurement is close to the true value of that measurement and precision is when the independent measurement carried out is close to each other.

The final measurement includes an average value with a digit estimated with an error of plus and minus one.

Answer to Problem 34PP

Student A’s trials have highest accuracy and student B’s trials have least accuracy.

Explanation of Solution

By student A,

Percent error in density of sucrose in first trial is: $3.14\%$.

Percent error in density of sucrose in second trial is: $0.63\%$.

Percent error in density of sucrose in third trial is: $1.26\%$.

By student B,

Percent error in density of sucrose in first trial is: $11.949\%$.

Percent error in density of sucrose in second trial is: $5.660\%$.

Percent error in density of sucrose in third trial is: $8.8050\%$.

By student C,

Percent error in density of sucrose in first trial is: $6.918\%$.

Percent error in density of sucrose in second trial is: $6.289\%$.

Percent error in density of sucrose in third trial is: $7.547\%$.

As per the definition of accuracy, there is least percent error in case of student A’s trials and highest percent error in case of student B’s trials, therefore, student A’s trials have highest accuracy and student B’s trials have least accuracy.

Conclusion

Student A’s trials have highest accuracy and student B’s trials have least accuracy.