Answer to Question #194866 in Statistics and Probability for Alex

Question

A group of srudents in their research would like to determine the EQ of Mindanao Science State University. They followed the instruction given their research adviser. Through simple random sampling, they got 150 students from a population of 3000 students. Among sampled srudents, the average EQ score is 115 with a standard deviation of 10. What is the sample mean?

Answer 1

A sample mean is an average of a set of data. The sample mean can be used to calculate the central tendency, standard deviation and the variance of a data set. The sample mean can be applied to a variety of uses, including calculating population averages. 

The sample mean is represented by $\bar{x}.$  It is given by the formula

$$\bar{x}=\dfrac{1}{n}\displaystyle\sum_{i=1}^nx_i$$

Given

$N=3000, n=150$

$\bar{x}=115, s=10$

The sample mean is $\bar{x}=115.$