SAMPLING and SAMPLING DISTRIBUTION
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This document provides information about sampling and sampling distributions. It discusses how to calculate the mean, variance, and standard deviation of sample means and their sampling distributions. Students are instructed to form groups and collect sample data from their group members to calculate these statistics. They are given examples of data on candy prices and asked to determine values like the sample mean, variance and standard deviation of the sampling distribution from the sample mean.
SAMPLING and SAMPLING DISTRIBUTION
- 2. BATTERY TEST
- 3. DIRECTIONS: Using the different description in each group, once the given formula is posted, one member of the group will raise the answer, and be counted score in their group if correct
- 4. 𝑥 = 𝑥 𝑁 Answer: MEAN (SAMPLE MEAN)
- 6. 𝜇 𝑥 = 𝑥2 • 𝑃 𝑥 ANSWER: Mean (SAMPLING DISTRIBUTION FROM THE SAMPLE MEAN)
- 7. 𝜎 = 𝑋2 𝑁 − 𝑋 𝑁 2 ANSWER: STANDARD DEVIATION (SAMPLE MEAN)
- 8. 𝜎𝑥 = 𝑥2 • 𝑃 𝑥 − 𝜇2 ANSWER: STANDARD DEVIATION (SAMPLING DISTRIBUTION from the SAMPLE MEAN)
- 9. 𝜎2 𝑥 = 𝑥2 • 𝑃 𝑥 − 𝜇2 ANSWER: VARIANCE (SAMPLING DISTRIBUTION)
- 10. GROUP ACTIVITY
- 11. GIVEN the set of values determine the ff. Group 1- MEAN of the SAMPLE MEAN and the sampling distribution. Group 2- Variance of the population and sampling distribution Group 3- STANDARD DEVIATION of the population and sampling distribution GROUP 4- Graph of the sampling distribution. (HISTOGRAM)
- 12. RUBRICS: DESCRIPTION 5 3 1 CLEANLINE SS NO Erasures 2-3 mistakes/erasur es 4 or more mistakes CONTENT Excellent answer (Complete) Missing 2-3 answer/procedur es 4 or more missing in the content answer OUPUT Followed the steps completely Missing 2-3 steps 4 or more Incomplete data
- 13. VARIANCE OF SAMPLING DISTRIBUTION FROM THE SAMPLE MEAN STANDARD DEVIATION OF SAMPLING DISTRIBUTION FROM THE SAMPLE MEAN
- 14. Properties of the mean, variance and standard deviation. 1. The mean of the sample is equal to its sample distribution. 2. The variance and its standard Deviation of the sample distribution can be determined from the sample means
- 15. Form a group of five members, (in each group) Get the height in meter of each member of the group. Draw random samples of size n=2 from these heights. 1.How many samples can be drawn from it? 2.Determine the mean, variance, standard deviation of the sample mean . 3.Draw a histogram of your group. *** RUBRICS IS GIVEN.
- 16. Given the ff values of the price of candies in a Candy stall determine the unknown. N= 5 n=2 𝑃 7, 𝑃8, 𝑃9. 𝑃10, 𝑃11 1.Mean (Sample Mean and Sampling Distribution) 2. Variance (Sample Mean and Sampling Distribution) 3. Standard Deviation (Sample Mean and Sampling Distribution)
- 17. SOLUTION: SAMPLE MEAN SAMPLING DISTRIBUTION MEAN 9 9 VARIANCE 2 0.75 STANDARD DEVIATION 1.41 0.87