taw mass/g 18.46 19.24 19.3 19.85 20.12 20.12 20.33 20.35 20.52 20.78 ratio 1. What level of measurement is the data? 10 2. Find the sample size n for the data. 18.46 3. Find the minimum. 20.78 4. Find the maximum. 2.32 5. Find the range. 20.12 6. Find the median. 20.12 7. Find the mode. 19.91 8. Find the sample mean x. 0.71 9. Find the sample standard deviation sx. 0.0356 10. Find the sample coefficient of variation CV. 48.82 11. Determine the z-score for a taw that has a mass of 54.48 grams. unusual 12. Is the z-score above an ordinary or unusual z-score? 0.22 13. Calculate the standard error of the mean for the taws. 14.Calculate the 68% confidence interval for the population mean mass of a taw. p( 19.68 < μ < 20.13 ) = 0.68 Are the taws actually normally distributed? Bins Freq Rel Freq 18.92 1 0.1 19.39 2 0.2 19.85 1 0.1 20.32 2 0.2 20.78 4 0.4 10 1 No, the taws are distributed strongly skewed left and bimodally Clue to the skew: When the mean ≠ median, a skew is present Skewness -0.97 The skew function is a formula for calculating the skew in the data. The negative, non-zero value is a left skew as seen in the diagram. Less massive ("lighter") taws are unusual