Which statement best describes the data set?

Use the data set to answer the question.

Correct value: 25

Data set: 30, 17, 27, 21, 32

(Below are the answer choices)

•It is accurate but not precise.

•It is precise but not accurate,

•It is accurate and precise.

•It is neither accurate nor precise.

It is neither accurate nor precise.

Explanation:

The data set is neither accurate nor precise.

Accuracy is defined as the closeness of a measurement to the true value.

Now let us look at the average of the data set:

30 + 17 + 27 + 21 + 32 = 127/5 = 25.4

The average of the data set is 25.4, whereas the correct value provided is 25. The difference between the average of the data set and the correct value is 0.4 which is beyond the margin of error allowed in measurement. Hence, the measured data is not accurate.

Also, precision is defined as the closeness of repeated measurement to one another.

From the data set, the individual values are not close to one another in any form and the difference between them are more than the margin of error allowed in measurements. Hence, the data is far from being precise.