predictive statistical research. Standard deviation is a measure of the data spread and it is signified by the Greek letter sigma (σ). The standard deviation requires calculation of the average‚ compare each respondent’s value to the average‚ and square that difference (Burns & Bush‚ 2012‚ pg. 252). Therefore‚ the formula for standard deviation is the square root of the variance. The variance is the average of the squared differences of the mean. The standard deviation explains the density of data scattered
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10% 3. Now calculate the standard deviations and coefficients of variation of returns for the five alternatives. (Hint: Coefficient of variation of return is defined as the standard deviation divided by the expected rate of return. It is a standardized measure of risk that assesses risk per unit of return). 1-Year T-Bill Variance = (0.10 x [.07-.07]2)+ (0.20 x [.07-.07]2) + (0.40 x [.07-.07]2) + (0.20 x [.07-.07]2) + (0.10 x [.07-.07]2) = 0 Standard Deviation = 0 = 0% Coefficient of variation
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1.2 Below we list several variables. Which of these variables are quantitative and which are qualitative? Explain. a. The dollar amount on an accounts receivable invoice. Answer – Quantitative as the value is a number b. The net profit for a company in 2009. Answer – Quantitative as the value is a number. c. The stock exchange on which a company’s stock is traded Answer – Qualitative as it is descriptive or categorical. d. The national debt of the united states in 2009. Answer
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used. These are the density‚ relative error and the standard deviation. Density is refers to the mass (m) per unit volume (V) of a material and is often represented by the symbols d or ρ‚ where d = m/V. The density of an object changes with pressure and temperature. Second‚ relative error is a calculated by finding the difference between the true and measured values and dividing this difference by the true answer. And‚ the standard deviation is the measure of the spread of dispersion of scores (density)
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variability (standard deviation) of Reynolds‚ Hasbro‚ and Vanguard Index 500 Trust during the past 5 years. Which one appears to be riskiest? S&P 500 REYNOLDS HASBRO Mean 0.57% 1.87% 1.18% Variance 0.13% 0.88% 0.66% Standard Deviation 3.60% 9.37% 8.12% - Conclusion: Reynolds appears to be riskiest. - Explanation: Given the fact that risk reflects the uncertainty of future return on a given asset or a portfolio of assets‚ standard deviation is thus used as a measure
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following measures of variation for the data set. Show your work. A table has been provided to help you calculate the standard deviations. In the table round values in the last two columns to four decimal places. Report the standard deviation statistics to four decimal places. Range: _____0.6________ Standard Deviation of this data: ___.1648__________ Estimated Standard Deviation for all pieces produced: ______.1721_______ X x-µ (x-µ)2 3.8 -.2667 .0711 3.9 -.1667 .0277 3.9 -.1667 .0277 4.0 -.0667 .0044
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multi-meter was used to measure the resistance in a pack of ten resistors. Each member measured the resistors twice to allow for more precise statistical analysis. After all measurements were recorded‚ statistical analysis such as mean‚ standard deviation‚ and true mean range with 90%‚ 95%‚ and 99% confidence intervals were used to obtain the results. Once calculations were made‚ it was determined that there was error in this laboratory due to the environment and to human error‚ however all of the
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fast foods are students’ favorite? 2.0 Gender Figure 1 Gender Frequency Percent Male 22 48 Female 28 52 Total 50 100 Mean 25 Median 25 Mode #N/A Standard deviation 4.24 Standard Deviation= =4.24 Figure 1 shows the gender of sample at SEGI students. There are 22 male students and 28 female students in this sample. 3.0 Age Figure 2 Age Male Female Frequency
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12 12 SAMPLE STANDARD DEVIATION 0.22 0.22 0.20 0.20 SAMPLE SIZE 30 30 30 30 Z -1.028 0.712 -2.935 2.161 RESULT ACCEPT ACCEPT REJECT ACCEPT Sample 3 is the only one that rejects the null hypothesis of u = 12. 2) Compute standard deviation for each of the four samples. Does the assumption of .21 for the population standard deviation appear reasonable? Sample 1 Sample 2 Sample 3 Sample 4 SAMPLE MEAN 11.958 12.028 11.889 12.081 SAMPLE SIZE 30 30 30 30 SAMPLE STANDARD DEVIATION 0.22 0.22 0.20 0.20 From
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(b). µa = 0.12 and σa = 0.024; 2 (c). µa = 0.12 and σa = 0.288; (d). µa = 0.12 and σa = 0.024; (e). None of the above. 2. Which of the following statements is correct? (a). Expected utility of wealth is constant on the MVS. (b). In the standard deviation and expected return space‚ the mean-variance combination line is convex while the indifference curve is concave. (c). The variance of portfolio with equal proportions of n assets tends to zero as n → ∞. (d). For portfolios of many assets‚ it is not
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