A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of

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Question: A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of possible true values?

Options:

Correct Answer: 24.5 °C to 25.5 °C

Solution:

The range of possible true values is from 25.0 - 0.5 to 25.0 + 0.5, which is 24.5 °C to 25.5 °C.

A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of possible true values?

A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of possible true values?

Step 1: Identify the reading from the thermometer, which is 25.0 °C.
Step 2: Identify the uncertainty, which is ±0.5 °C.
Step 3: Calculate the lower limit of the range by subtracting the uncertainty from the reading: 25.0 °C - 0.5 °C = 24.5 °C.
Step 4: Calculate the upper limit of the range by adding the uncertainty to the reading: 25.0 °C + 0.5 °C = 25.5 °C.
Step 5: Combine the lower and upper limits to find the range of possible true values: from 24.5 °C to 25.5 °C.

Measurement Uncertainty – Understanding how to calculate the range of possible true values based on a given measurement and its uncertainty.