How can math tools you detect errors and inaccuracies in data

Math is extremely helpful in determining errors and inaccuracies in data, since it can show you the probability that your result is wrong given a sample size of the data. 

Math tools help you detect errors or inaccuracies in data by using the concept of validity and reliability. There are known formulas in measuring and identifying errors. Errors, according to some experts are an element to every measurement and have to be dealt with. Errors comes in two types which are the random errors and the systematic errors. Math tools like in the measure of central tendencies in statistics help us determine if there is an error or to measure the reliability of the scale.