Question

In a lab in New York, Thomas and Nikola collected data over several trials. Thomas recorded his measurements as 10.0 A, 11 A, and 8 A. Nikola recorded his data as 9.0 A, 9.2 A, 8.8 A. Is one more precise than the other?
Thomas is more precise.

Nikola is more precise

Neither are precise.

Both are precise.

Answer 1

Nikola's reading has a lower range and it is logical to conclude that his reading is more precise.

Explanation:

Precision is the ability to reproduce the same set of result from a measurement. The more repeatability a measurement is, the more precise it is.

 From the given pool of data, it is easy to determine which set of data is more precise over the other.

Thomas measurements: 10.0 A, 11 A, and 8 A

 Nikola measurements: 9.0 A, 9.2 A, 8.8 A

Using the range method, it is possible to find the precision in this pool of data.

Method and Solution:

Find the range of the sample:

        Range = highest value - lowest value

 Thomas measurement; Range = (11-8)A = 3.0A

  Nikola measurement; Range = (9.2-8.8)A = 0.4A

Find the mean of the samples:

Mean of Thomas measurement = $\frac{10 + 11+ 8}{3}$ = $\frac{29}{3}$ = 9.7A

Mean of Nikola measurement = $\frac{9+ 9.2+ 8.8}{3}$ = $\frac{27}{3}$ = 9A

Now let us quote the range of value of the mean of each measurement:

   Thomas 9.7±3.0A

    Nikola   9.0± 0.4A

Nikola's reading has a lower range and it is logical to conclude that his reading is more precise.

Learn more:

mean calculation brainly.com/question/12068498

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