Answer to Question #187005 in Statistics and Probability for Gwyneth Balete

Question

If the population consists of numbers 1, 2 ,3, 4, 5 and 6, find the mean of the samples of size of 3. Construct a sampling distribution and make a histogram for the sample distribution.

Answer 1

Mean of The samples is shown in the table below.

Mean of sample mean $=\dfrac{\sum x}{n}=\dfrac{30.63}{10}=3.063$

Sampling distribution of given data is-

Histogram for the sample distribution is-