9,5,6,12,15 ( QUEZON PROVINCE) ANSWER THE FOLLOWING WITH SOLUTION

Activity 3 Direction: Perform what is being asked. Follow the steps indicated in the first column of the table to complete th activity. In the second column, write your solution on the spaces provided. Situation: A population of PWD leamers in 5 schools in a certain municipality of Quezon Province are (x) 9, 5. 6, 1 and 15. Suppose that two schools were selected as samples, determine the mean and variance of the sampli distribution of sample mean. Steps Illustration/Solution 1. Compute the mean of Formula: the population u. (1) A = EX/N= The mean of the population is2. Compute the variance of the population of, X (a) X -# (b) ( X-my a) Subtract each measurement by the computed population mean (x -!) (b) Square the results obtained in (a) then add, Divid by the frequency of measurements to get (2) of = =(X - ") /N = the value of the So, the variance of the population is population variance. 3. Determine the number of possible samples of (3) Use the formula NC. = NL size n = 2. 4. List all possible samples and their comresponding Samples of size 2 (4) Mean (4) means. 5. Construct the sampling (5) Sampling Distribution of Sample Means distribution of the sample Sample Mean Frequency Probability means. (X) (f) P(X Total (f) Sample Mean Probability (a) S. Mean . Probability 6. Compute the mean of the sampling distribution (X) of the sample means P(X ) (X) . P(X) Follow these steps: 8. Multiply the sample mean by the corresponding probability b. Add the results