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Descriptive Statistics II: By the end of this class you should be able to:. describe the meaning of and calculate the mean and standard deviation of a sample estimate normal proportions based on mean and standard deviation plot a histograms with alternative scaling. Palm: Section 7.1, 7.2.
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Descriptive Statistics II:By the end of this class you should be able to: • describe the meaning of and calculate the mean and standard deviation of a sample • estimate normal proportions based on mean and standard deviation • plot a histograms with alternative scaling Palm: Section 7.1, 7.2 please download cordbreak1.mat & FWtemperature.txt
Exercise • Download FWTemperature.txt • Read into MATLAB • Prepare a single figure with two plots • a histogram of March highs (row 2) • a histogram of April highs (row 4) • Label these plots fully • Print out the your commands and the resulting figure
Review: Quantifying Variation Mean Central Tendency >> mean(x) Standard Deviation Spread >> std(x) difference deviation of each point about the mean squared all values positive Summation yields one number Divide by n-1 normalize the sum for based on degrees of freedom
The Normal (Gaussian) Distribution Mode (Population) Standard Deviation Mean
meanm Percentage of observations in the given range 68 % 1s 95.5 % 99.7% 2s 3s Expected Proportions for known
Expected Proportions for known 68 % 16 %
Proportions Problem Data analysis of the breaking strength of a certain fabric shows that it is normally distributed with a mean of 200 lb and a variance (2) of 9. • Estimate the percentage of fabric samples that will have a breaking strength between 197 lb and 203 lb. • Estimate the percentage of fabric samples that will have a breaking strength no less than 194 lb.
Additional Example (not covered in class)Looking at two sets of data • Look at a histogram of the second set of data, ‘cord2’ • How would you compare it to cord the first set of data? • What problems do you run into?