Question Detail

PHY 101 Physical Quantities, Units, and Dimensions Objective Question

Question

A student measures the length of a nail five times, obtaining values of 2.85 cm, 2.84 cm, 2.86 cm, 2.85 cm, and 2.86 cm. What is the estimated value for the length?
Options
A 2.84 cm
B 2.85 cm
Correct Answer
C 2.86 cm
D 2.852 cm
Correct Answer

Option B is the correct answer.

Detailed Explanation

To reduce the effect of random errors, the estimated value is taken as the average (mean) of the repeated measurements. The average is (2.85 + 2.84 + 2.86 + 2.85 + 2.86) / 5 = 14.26 / 5 = 2.852 cm, which rounds to 2.85 cm based on the precision of the readings.

Hint

Repeating measurements and calculating the mean helps to minimize the impact of random errors.

Question Info