Question

a student measures the temperature of boiling water a number of times. if the boiling point of water is 212 degrees, which of his measurements is the most accurate?
a. 213.15 degrees f
b. 212.1 degrees f
c. 210 degrees f
d. 205.45 degrees f

Explanation:

Step1: Calculate the absolute differences

The absolute difference formula is \(|x - 212|\), where \(x\) is the measured value.
For option A: \(|213.15 - 212|=1.15\)
For option B: \(|212.1 - 212| = 0.1\)
For option C: \(|210 - 212|=2\)
For option D: \(|205.45 - 212| = 6.55\)

Step2: Compare the differences

We want the smallest absolute difference.
Since \(0.1<1.15<2<6.55\)

Answer:

B. 212.1 degrees F