The sample mean is a statistic that is used to estimate a population's mean. Even with smaller samples, if the population is normally distributed, the sample means will be normally distributed.
An average of a group of data is referred to as a sample mean. A data set's central tendency, standard deviation, and variance can all be calculated using the sample mean. The sample mean has a wide range of applications, including determining population averages.
Probability of sample means
For example, The height of 25 students is collected in a class. Notably, the data has a . Calculate the probability that a sample mean will be greater than 45.
This means that
Therefore, the probability that the sample mean will be greater than 45 can be said to be the probability that z is greater than 2.5.
Using the z-tables to find the probability;
Was this Helpful?