Math

QuestionDetermine if the following measurements are accurate, precise, both, or neither compared to 68.1 mL68.1 \mathrm{~mL}: a. 78.1 mL,43.9 mL,2.0 mL78.1 \mathrm{~mL}, 43.9 \mathrm{~mL}, 2.0 \mathrm{~mL} b. 68.1 mL,68.2 mL,68.0 mL68.1 \mathrm{~mL}, 68.2 \mathrm{~mL}, 68.0 \mathrm{~mL} c. 98.0 mL,98.2 mL,97.9 mL98.0 \mathrm{~mL}, 98.2 \mathrm{~mL}, 97.9 \mathrm{~mL}

Studdy Solution

STEP 1

Assumptions1. The correct measurement is 68.1 m68.1 \mathrm{~m} . We have three sets of measurements to compare with the correct measurement3. Accuracy refers to how close a measurement is to the correct value4. Precision refers to how close the measurements are to each other

STEP 2

First, we need to determine the accuracy and precision of each set of measurements.For set a. 78.1 m,43.9 m,2.0 m\quad78.1 \mathrm{~m},43.9 \mathrm{~m},2.0 \mathrm{~m}These measurements are not close to the correct measurement of 68.1 m68.1 \mathrm{~m}, so they are not accurate. They are also not close to each other, so they are not precise.

STEP 3

For set b. 68.1 m,68.2 m,68.0 m\quad68.1 \mathrm{~m},68.2 \mathrm{~m},68.0 \mathrm{~m}These measurements are close to the correct measurement of 68.1 m68.1 \mathrm{~m}, so they are accurate. They are also close to each other, so they are precise.

STEP 4

For set c. 98.0 m,98.2 m,97.9 m\quad98.0 \mathrm{~m},98.2 \mathrm{~m},97.9 \mathrm{~m}These measurements are not close to the correct measurement of 68.1 m68.1 \mathrm{~m}, so they are not accurate. However, they are close to each other, so they are precise.

STEP 5

In conclusion,a. 78.1 m,43.9 m,2.0 m\quad78.1 \mathrm{~m},43.9 \mathrm{~m},2.0 \mathrm{~m} is neither accurate nor precise.
b. 68.1 m,68.2 m,68.0 m\quad68.1 \mathrm{~m},68.2 \mathrm{~m},68.0 \mathrm{~m} is both accurate and precise.
c. 98.0 m,98.2 m,97.9 m\quad98.0 \mathrm{~m},98.2 \mathrm{~m},97.9 \mathrm{~m} is precise but not accurate.

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