A student performed an analysis of a sample for its calcium content and got the following results: 14.92%, 14.91%, 14.88% and 14.91%. The actual amount of calcium in the sample is 15.70%. What conclusions can you draw about the accuracy and precision of the result?
Answers
Answer:
The question is asking to state the conclusion that can be formulated, base on the problem or the given analysis of the data, about the accuracy and precision and base on my research, i would say that the Accuracy is Poor but the Precision is Good. I hope this would help you
For the given set of readings, it can be said the accuracy is poor but the precision is very high.
Explanation:
→ 'Accuracy' and 'precision' are two terms used in the measurement. Both of them indicate the quality of measurement taken.
→ The 'accuracy' is the extent up to which an observed value agrees with the true value of the Quantity.
→ The accuracy of a set of measurements indicates the closeness of the set of readings to their true value or real value.
→ A set of readings can be said to be accurate if the mean of all the readings is close to the true value.
→ Precision is the measure of how close the readings are to each other. If the readings are very close to each other then the measurement taken can be said to be highly precise.
→ The precision is said to be high if the set of readings lies within a small range.
→ It is possible for a reading with great precision to be quite inaccurate. It is also possible for a reading with bad precision to be quite accurate.
→ In the given question the average of 14.92%, 14.91%, 14.88%, and 14.91% is approximately equal to 14.91%. This mean of the measurement is quite far from the actual value which is 15.70%. Hence the reading is quite inaccurate.
→ The readings 14.92%, 14.91%, 14.88%, and 14.91% are very close to each other. Hence the reading is very precise.
Therefore for the given set of readings, it can be said the accuracy is poor but the precision is very high.
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