Question

john measures the length of one side of his room with a tape measure. he repeats his measurements four times and records them in the table below.

table 1 recorded distances of one side of john’s room.

trial 1: 4.50 m
trial 2: 4.60 m
trial 3: 4.30 m
trial 4: 4.40 m

although john used the same experimental tools and measurement methods for each trial, the recorded data differs from one trial to another due to random errors caused by unknown and unpredictable changes in the experiment.

among the recorded measurements, which one can be used to quantify random errors observed in the experiment?

multiple choice
the maximum value 4.60 m.
neither. john should calculate the statistical average of the data set
either measurement should work.
the minimum value 4.30 m.
neither. john should calculate the uncertainty in the average measurement to estimate the level of precision of his experiment.

Explanation:

To quantify random errors, we analyze the options. Random error quantification involves statistical measures like standard deviation or average deviation, not just max/min or ignoring average. The option "Neither. John should calculate the statistical average of the data set" is correct because calculating the average (mean) is a basic step in analyzing data with random errors, and max/min alone don't quantify random errors.

Answer:

B. Neither. John should calculate the statistical average of the data set