Which statement about random errors in data is true?

Which statement about random errors in data is true?

• A. They are called noise and do not affect the average
• B. They are biases that skew results
• C. They determine the median
• D. They must be eliminated to obtain any result

Answer: (A)

Random errors are unpredictable fluctuations in measurements, often called noise. They come from small, random variations in the measuring process and environment, so they don’t push results consistently in one direction. Because these fluctuations are random, they tend to cancel out when you take many measurements; the average of many readings becomes a better estimate of the true value. In other words, random errors affect precision (how tightly repeated measurements cluster) more than they bias the result, and they do not create a systematic shift in the average as you accumulate more data. This is why describing them as noise that doesn’t affect the average in the long run is the most accurate statement.

Random errors are unpredictable fluctuations in measurements, often called noise. They come from small, random variations in the measuring process and environment, so they don’t push results consistently in one direction. Because these fluctuations are random, they tend to cancel out when you take many measurements; the average of many readings becomes a better estimate of the true value. In other words, random errors affect precision (how tightly repeated measurements cluster) more than they bias the result, and they do not create a systematic shift in the average as you accumulate more data. This is why describing them as noise that doesn’t affect the average in the long run is the most accurate statement.