Question

Mark the correct statement: All of these statements are correct O The measured values are collectively called data O Random errors tend to cancel themselves out over a large number of measurements O It is possible that each time we take a data point we make a random error

Answer 1

All of these statements are correct.

1. The measured values collectively are called data set. Means it serves as input for the further experiment this data is processed to give an outcome.

2. Yes because random errors are completely random with respect to sign and size. Hence when we take large number of measurements then sometimes we have positive error and sometimes we have negative error which eventually cancels each other, when averaging out

3.yes, because these random errors arise due to random and unpredictable fluctuations in experimental conditions (e.g. unpredictable fluctuations in temperature, voltage supply, mechanical vibrations of experimental set-ups, etc), personal (unbiased) errors by the observer taking readings, etc. For example, when the same person repeats the same observation, it is very likely that he may get different readings everytime.