samp FROM P on, y' A sampling distribution of sample mean is a frequency distribution using the means computed from all possible random samples of a specific size taken from a population. LET US PRACTICE Construct a sampling distribution of sample mean for the set of data below. 86 68 90 95 98 Consider a sample size of 3 that can be drawn from a population. A. How many possible samples can be drawn? To answer this. use the formula NCn, where N is the total population and a is the sample to be taken out of the population. In this case N= 5 and n= 3 sCs = 10 So. there are 10 possible samples to be drawn. B. Construct the sampling distribution of sample means. List all the possible outcome and get the mean of every sample. sample Sample mean 86. 85. 90 88 86. 90. 95 90 86, 90. 98 91 86. 90. 95 90 86. 90, 98 86, 95. 98 93 88, 90, 95 91 38. 90, 98 92 88. 95. 98 94 90, 95. 98 C. This time, let us make a probability distribution of the sample means. This probability distribution is called, the sampling distribution of the sample means. Sample mean Probability 88 19 or 0.1 90 or 0.2 91 or 0.3 92 10 or 0.1 93 - or 0.1 94 or 0.2Observe that 88, 92 and 93 appeared only once: thus their probability is Pixi= 2 D. 1. Since 90 and 94 appeared twice. their probability is Pix=- o 10 or 0.2 . While 91 appeared thrice. their probability is Pix) or 0.3 EVALUATION 1. Complete the statement by filling in the blank. Write your answer on a separate sheet of paper. is a frequency distribution using the means computed from all possible random samples of a specific size taken from a population. To get the possible samples use the formula where N is the and n is the size to be taken. The total probability of the sample mean must be equal to 2. Construct all random samples consisting three observations from the given data. Arrange the observations in ascending order without replacement and repetition. 86 89 92 95 98