Math CC7/8 – Be Prepared On Desk: Pencil Calculator Math Journal

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Math CC7/8 – Be Prepared On Desk: Pencil Calculator Math Journal SP Learning Log 2.4 WS on counter Learning Log: HW: Page 47 #15-17, #34-37 Turn in Partner Quiz!! Due today. (1pt off per day late)

Tasks for Today Lesson 2.4 – What Sample Size to Use?

Summary of lesson 2.3 – Choosing Random Samples We had many different random samples of 30 from the population of 100. (movies & sleep) Were our samples the same, or was there variance amongst our samples? Do you think some samples were a better representation of the population than others? Conclusion: Sampling is a good technique in general, but it can occasionally lead to drawing poor conclusions.

Materials needed: 10-section spinner (0-9) Labsheet 2.3 A (movie & sleep data – 100 students)

Adapted: Movie data only, same partners! Spin to find student numbers for sample of 5 students Record their movie data Spin to find student numbers for sample of 10 students Record their movie data Record this data in your journal. Student # # of Movies 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Student # # of Movies 1. 2. 3. 4. 5.

B. Find the mean of each sample (5 and 10 and 30). Record your groups statistics on the class chart. (Labsheet 2.4F)

The means for samples of 5 should show considerable variation. Labsheet 2.4A for line plots of means of 5, 10, and 30 The means for samples of 5 should show considerable variation. The means for samples of 10 should show less variation than 5, but more than the means for samples of 30. The means for samples of 30 should cluster near the population mean of about 4.

The larger the sample size from which the means are drawn, the better the estimate of the mean for the entire population.

With a sample size of 50, the mean number of movies watched would show less variation than the line plots of a size of 30. There would probably be a more pronounced clustering around 4.

The variability drops as the sample size increases. The characteristics of the sample become closer to those of the population as a whole.