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Martin is conducting an experiment. His first test gives him a yield of 5.2 grams. His second test gives him a yield of 1.3 grams. His third test gives him a yield of 8.5 grams. On average, his yield is 5.0 grams, which is close to the known yield of 5.1 grams of substance. Which of the following are true?

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Complete Question

Martin is conducting an experiment. His first test gives him a yield of 5.2 grams. His second test gives him a yield of 1.3 grams. His third test gives him a yield of 8.5 grams. On average, his yield is 5.0 grams, which is close to the known yield of 5.1 grams of substance. Which of the following are true?

A His results are accurate but not precise.

B His results are neither accurate nor precise.

C His results are both accurate and precise

D His results are precise but not accurate.

Answer:

Correct option is A

Explanation:

From the question we are told that  

   The  yield of the first test [tex]k  =  5.2 \  g[/tex]

   The  yield of the second  is  [tex]u =  1.3 \  g[/tex]

   The  third yield is  [tex]p =  8.5 \  g[/tex]

   The  average yield  [tex]A = 5.0 \ g[/tex]

    The  know yield is  [tex]A_S =  5.1 \  g[/tex]

From the data given we see that

        [tex]A_S \ne A[/tex]

Since his average yield is closer to the known yield then the answer is accurate

But since the yield for each test are not repeated the answer is not precise

So the answer is accurate but not precise  

His results are accurate but not precise.

Your question is not complete, it seems to be missing the following information;

"A His results are accurate but not precise.

B His results are neither accurate nor precise.

C His results are both accurate and precise.

D His results are precise but not accurate."

The given parameters;

  • first measurement = 5.2 g
  • second measurement = 1.3 g
  • third measurement = 8.5 g
  • average measurement = 5.0
  • known substance average yield = 5.1 g

Each of the measurement is far from each other. That is 5.2 grams, 1.3 grams and 8.5 grams are all far apart. So this measurement is not precise.

The known average (5.1 g) and the measured average (5.0 g) are close to each other, so the measurement is accurate.

Thus, we can conclude that his results are accurate but not precise.

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