Is the sample mean always the most frequently occur ring value? If so, explain why. If not, give an example.
Step1 of 2:
We have statement that the sample mean always the most frequently occurring value.
We need to check is the given statement is correct or not. If correct explain why. If not, give an example.
Step2 of 2:
Let us understand what is mean.
Mean:mean can be simply defined as it is the average of all observations.
Let be a observations have a sample size N.then the mean of all observations is given by
x = random variable
N = sample size.
NO,Consider a case where all of the numbers are clustered between 10 and 12 and one of the numbers is outside of this range and equals 10,000.In this case, the most frequently occurring number will be one of the numbers between 10 and 12.Therefore, The sample mean will probably be out of this range and there may have been no actual observations that equaled the mean.