3.1 Measures of Central Tendency (Page 1 of 16) 3.1 Measures of Central Tendency Mean‚ Median and Mode a. mean‚ x = Example 1 b. ! x = sum of the entries n number of entries Find the mean of 26‚ 18‚ 12‚ 31‚ 42 The median is the middle value of an ordered set of data. If there is an even number of data values‚ then the median is the mean of the two middle values. Example 2 Find the median of 25‚ 30‚ 37‚ 21‚ 38 Example 3 Find the median of 3‚ 7‚ 9‚ 4‚ 8‚ 2‚ 6‚ 5 c. The mode is the
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Inferences for One Population Standard Deviation The Standard deviation is a measure of the variation (or spread) of a data set. For a variable x‚ the standard deviation of all possible observations for the entire population is called the population standard deviation or standard deviation of the variable x. It is denoted σx or‚ when no confusion will arise‚ simply σ. Suppose that we want to obtain information about a population standard deviation. If the population is small‚ we can often determine
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Investigation of Systolic and Diastolic deviations in the obese: a cardiovascular magnetic resonance imaging and metabolic technique. Obesity is one of the major health issues in developed Western countries‚ especially in the United States of America (Danias‚ 2003). Previous investigations with magnetic resonance imaging have shown that obesity independently alters the structure and systolic/diastolic function of the heart. This has been evaluated with great detail by using cardiovascular magnetic
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calculate monthly returns starting one month after the date of the first data point‚ that is‚ starting in March 1950. Descriptive Statistics For any data set you often want to calculate certain descriptive statistics such as mean‚ standard deviation‚ and median. The Analysis ToolPak offers a tool called Descriptive Statistics that calculates in one step many of the most common descriptive statistics for a data set. Example 1: Refer to the excel file: “Doing Statistical Analysis.xlsx” SP 500
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Chapter 3 Data Description 3-1 Measures of Central Tendency ( page 3-3) Measures found using data values from the entire population are called: parameter Measures found using data values from samples are called: statistic A parameter is a characteristic or measure obtained using data values from a specific population. A statistic is a characteristic or measure obtained using data values from a specific sample. The Measures of Central Tendency are: • The Mean • The
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Lean Six Sigma - Tools and Techniques Method | Description | Benefits | Tools | Balanced Scorecard | Balanced Scorecard is a management system — not a measurement system. It has 4 parameters (legs). a. Customer Scorecard b. Financial Scorecard c. Internal Business Process Scorecard d. Knowledge‚ Education‚ and Growth Scorecard | | | 5S Assessment | * Sort >> Set-order / Stabilize >> Shine >> Standardize >> Sustain * 5S is a process and method for creating
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Question 5: Height (cm) Absolute Deviation (cm) Diameter (cm) Absolute Deviation (cm) 2.05 0.00 1.27 0.01 2.06 0.01 1.28 0.00 2.05 0.00 1.27 0.01 2.05 0.00 1.28 0.00 2.06 0.01 1.28 0.00 Average Height (cm) Average Absolute Deviation (cm) Average Diameter (cm) Average Absolute Deviation (cm) 2.05 0.01 1.28 0.01 % Exp. Acc. (%) 0.48% % Exp. Acc. (%) 0.78% Average Height = Height (cm) Absolute Deviation (cm) 2.05 2.06 2.05 2.05 2
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Contribution of Dominant Family values were 18.12 ± 8.01 above‚ 18.87 ± 4.55 at‚ and 18.92 ± 8.29 below (Figure 11) Figure 1 Mean and Standard Deviation of Water Temperature at Pricket’s Creek Marion County‚ WV Fall 2012 Figure 2 Mean and Standard Deviation dissolved oxygen content at Pricket’s Creek Marion Conuty‚ WV Fall 2012 Figure 3 Mean and Standard Deviation pH Pricket’s Creek Marion County‚ WV Fall 2012 Figure 4 Mean and
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Average absorbance of the colored beetroot solution at 565 nm (AU) Standard Deviation (AU) 30 0.138 0.013 40 0.420 0.065 50 0.511 0.156 60 0.820 0.067 70 1.004 0.073 For Calculating Averages: Average: (Trial 1+Trial 2+Trial 3+Trial 4+Trial 5) / Number of Trials (0.160+0.129+0.136+0.135+0.128) / 5 = 0.138 Standard Deviation: Done by Excel Presentation *Error Bars: The error bars represent one standard deviation above the below the mean. The longer the error bars‚ the less reliable the
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125 150 72 97 113 138 121 146 165 190 118 143 88 113 79 104 96 121 (a) Find the mean‚ median‚ standard deviation‚ first and third quartiles‚ and the 95th percentile for family incomes in both years. For 1980: mean: 62.7‚ median: 59‚ sd: 39.7‚ 1st quartile: 29.25‚ 3rd quartile: 93.5‚ 95th percentile: 132.2 For 1990: mean: 67.12‚ median: 57.5‚ sd: 48.09‚ 1st quartile: 57.5‚ 3rd quartile: 98.25‚ 95th percentile: 157.2 (b) It seems that the country was better off in 1990 than in 1980‚ because
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