Question

Suppose that after computing based on n sample observations , another observation becomes available.

(i) What is the relationship between the mean of the first n observations, the new observation, and the mean of all n+1 observations?
(ii) For the strength observations given below: 22.2 40.4 16.4 73.7 36.6 109.9 30.0 4.4 33.1 66.7 81.5, the mean of the first 10 observations is 43.34. What is the mean of all 11 observations?

Answer 1

Mean of the 11th observations = 46.809

Explanation:

The step by step explanations is given in the attached file.

What is appled is mean or average which is the total number of observation divided by the sum of the frequencies of each observaton .