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Standard Deviation

10 pages (2500 words)

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... Ahmed Aftab 01 Karachi, Pakistan 19-July-2008 Every rational investor wants to invest money in an investment which will give him more money. But the question arises how can one make choice between a set of investments There are number of theories regarding how an investor view risk and prefers one investment over the other ones.
Standard deviation is one of several procedures to predict profit / loss on an investment.
What is standard deviation
Standard deviation can defined as "a measure of the dispersion of outcomes around the mean (or expected value), used to measure total risk. It is the square root of the variance."(1)
Standard deviation, represented by the lowercase form of the Greek letter s...

Correlating the standard deviation

3 pages (750 words)

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... Lecturer Unit Correlating the Standard Deviation America football is a common sport in the United s of America and is referred to as football. The teams that play the game are usually two each with eleven players. The sport is played on a field with a length of 120 and width of 53.3 yards and goalposts placed on each end of the field. The roles of the football players are broadly classified into offense and defense. The defense team made up of defensive tackle and end who are usually four, safety, linebacker and corner-back. While the offense team consist of a quarterback, left and right guard; running back, center, fullback, tight end, wide receiver, Left, and right tackle. My goal in this paper is ...

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Standard Deviation and Outliers

1 pages (250 words)

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... Board Project 2 Instructions Standard Deviation and Outliers Thread: For this assignment you will use the Project 2 Excel Spreadsheet to answer the questions below.
Use the spreadsheet to create the graphs as described in each question and then answer the question.
Put all of your answers into a post in the Project 2 Discussion Board Forum.
This course will be utilizing the Post-First feature. You will not be able to see your classmates’ posts until after you have made your own post. This is intentional. You must use your own work for answers to questions 1–5. If something happens that leads you to want to make a 2nd post for any of your answers to questions 1–5, you must get permission from your in...

Standard Deviation, Hypotheses, and Standard Error

2 pages (500 words)

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... Deviation, Hypotheses, and Standard Error Answers: Hurlburt (2001) defines standard deviation as a number representing how scattered or how closely bunched a set of data is around the mean. It is the most commonly used measure of variability because it is claimed as the most reliable. Mathematically speaking, it is the positive square root of the average squared deviations from the mean of the distribution. By the knowledge of standard deviation, one can describe a set of data as homogeneous (closely bunched) or heterogeneous (scattered). Likewise, researchers use standard deviation to verify normal distribution. By the empirical rule, if a set of data is normal, about 68% of the data lie...

Coefficient of Variation and Standard Deviation

1 pages (250 words)

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... of Variation and Standard Deviation Submitted to, Submitted By, of the Submitted on, [June 17th,
INTRODUCTION
The average is a good measure to represent data. However, the dispersion of values signifies the authenticity of mean or average. Generally, for a highly dispersed set of values the mean is not a good representative measure.
STANDARD DEVIATION
One of the measures of dispersion is standard deviation. This most widely used measure describes average distance of each value from mean. Below is the formula for standard deviation.
The stepwise narration of the process would be,
1. Take out the difference between each value and mean by subtraction.
2. Square each calculated difference value.
3. Ad...

The Population Variance and Standard Deviation

2 pages (500 words)

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... Population Variance and Standard Deviation
Section 7.1
14. A sociologist found that in a sample of 50 retired men, the average number of jobs they had during their lifetimes was 7.2. The population standard deviation is 2.1.
a) Find the best point estimate of the population mean.
b) Find the 95% confidence interval of the mean number of jobs.
c) Find the 99% confidence interval of the mean number of jobs.
d) Which is smaller? Explain why?
Solution
a) Best point estimate of the population mean is
b) At 95% confidence interval, the confidence coefficient and the confidence interval is given by
c) At 99% confidence interval, the confidence coefficient
d) The 95% confidence interv...

Standard Deviation as a Risk Indicator for Investment Purposes

4 pages (1000 words)

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... Head: Standard Deviation as Risk Indicator Standard Deviation as Risk Indicator [Institute’s Standard Deviation as Risk Indicator Introduction Risk management is an important part of our everyday lives. Having the perfect balance between risk and returns is not only an inherent part of our management of lives but also the management of financial and investment portfolios as well. Over the years, experts have come up with various portfolios in order to allow the investors and observers to determine, manage and minimize the risk associated with certain investments. Standard deviation is one of those tools, which are used widely for risk management of investment portfolios (Crouhy, Galai & Mark, pp,...

Critically discuss the use of standard deviation as a risk indicator for investment purposes

4 pages (1000 words)

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... deviation is used as one of the indicators of risk of an investment such as a stock or a fund. Along with Beta, it is the one of the two widely used indicators for this purpose. Standard deviation measures the variability of an investment’s returns around its average returns over a given time period. Thus, one standard deviation implies that an investment’s returns will lie within the standard deviation limits 68% of the time. Similarly, two standard deviations imply that the returns will lie within the standard deviation limits 95% of the time and so on (Traulsen, 2007).
A greater standard deviation implies a greater volatility. More the volatility, more the risk. Generally, high risk is associated...

Standard deviation in portfolio management: A look at Dubai Financial Markets Stocks

6 pages (1500 words)

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... number Introduction There are many different ways and methods available to measure risk. In most financial publications, there is the common use of alpha, beta, standard deviation, Treynor, and shape ration methods (Hartman and Sprenger 37). Out of all these, standard deviation remains to be the best tool in understanding financial risks of a stock portfolio. The key idea is that when measuring the standard deviation one is able to measure the volatility of the stock. A more volatile stock is one where the stock’s returns have a higher variation from the stock’s average return (Dorfman 68). It is advisable to measure standard deviation of the stock portfolios returns rather than the range because...

Nutrition sciences

32 pages (8000 words)

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... Intake Study Dietary Intake Study Introduction This report provides a small scale research regarding the dietary intake by university students and the extent to which their dietary intakes are deviating from the Dietary Reference Values (DRV). The research includes primary information obtained from 15 university students for their dietary intakes in four days including a weekend. Based on the findings and conclusion reached in this research work, the researcher has also provided recommendations at the end of this report.
Aim of the Report
The aim of this research report is to collect information pertaining to the daily consumption of food and drink by a sample of students and to analyse such dietary ...

MGM600-0803B-02 Applied Managerial Decision-Making - Phase 3 Individual Project

2 pages (500 words)

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... Applied Managerial Decision-Making - Phase 3 Individual Project The chi-square test is conducted to examine whether the standard deviation of a population or sample is equal to the predetermined value of standard deviation. The test can be performed from two perspectives: either as one sided test or two sided test. The two sided test is performed against the alternative hypothesis that the actual standard deviation is greater than or less than the specified value. The one sided test concentrate only on one aspect. The chi-square test can either be one sided or two sided depending on the situation. For instance, while testing new software, we may require an understanding whether the variance of...

Hypothesis Testing Procedures

1 pages (250 words)

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... hypothesis procedures Hypothesis testing is an instrumental tool to decision-making that identifies significance of relationships or changes in processes. Established significance calls for consideration of a hypothesized association in decision making while absence of significance means that the hypothesis is insignificant. When engaging in hypothesis testing procedures for the population with known standard deviation, a researcher needs to consider the involved standard error. This value is important in determining confidence limits for decision making over the hypothesis to be tested and is derived from the known standard deviation. When testing hypothesis for a population whose standard...

Memory Process Serial Position Effect

6 pages (1500 words)

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... During our day, we are faced with situation were we must memorize different things. Scientists have been concerned to understand how weremember things. We usually try to remember things not carrying about their order or location which is called free recall (MacKewn & Goldthwaite, 2004). However, many researchers found that the position of things is a matter in remembering them which is referred to as the serial position effect. Items at beginning or end of a list are easier to remember than those in middle of list. This phenomena is referred to as the primacy or recency effect.
Atkinson & Shiffrin (1968) tried to explain the primacy serial position effect as a result of the greater attention allocat...

Principles of Finance

3 pages (750 words)

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... 4) (a) Expected Return on Stock A = Expected Return on Stock B = = Standard Deviation of Stock A: Standard Deviation of Stock B: (b) (i)
Expected Return on the portfolio =
Expected Standard Deviation of the portfolio
Deriving the equation between risk and return
Standard Deviation of a portfolio with an expected return of 7%
Standard Deviation of a portfolio with an expected return of 15%
(ii)
Expected Return on the portfolio =
Expected Standard Deviation of the portfolio
Deriving the equation between risk and return
Standard Deviation of a portfolio with an expected return of 7%
Standard Deviation of a portfolio with an expected return of 15%
(iii)
I will select the portfolio which provides me a g...

Frequency Distributions

2 pages (500 words)

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... Assignment Answer the following problems showing your work and explaining (or analyzing) your results The math grades on the final exam varied greatly. Using the scores below, how many scores were within one standard deviation of the mean? How many scores were within two standard deviations of the mean?
99 34 86 57 73 85 91 93 46 96 88 79 68 85 89
Ans: The mean is 77.93 and the Standard deviation is 18.38.
There were 12 observations within one Standard Dev of mean limits
There were 14 observations within two Standard Dev of mean limits
2. The scores for math test #3 were normally distributed. If 15 students had a mean score of 74.8% and a standard deviation of ...

Research Proposal Design

4 pages (1000 words)

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... Proposal Design School Question A telephone number consists of seven digits, the first three representing the exchange. How many different telephone numbers are possible within the 537 exchange
Out of the seven digits total, the last four are variable. The value of each of these four digits can be from zero to nine, giving each of the four variable digits ten possible values. The total number of combinations possible within these four digits is calculated as 10 X 10 X 10 X 10, or 104, for a total number of possible combinations of 10,000.
Question 2: Listed below are the commissions earned ($000) last year by the sales representatives at the Furniture Patch, Inc. Using these data, calculate the foll...

Dental statistics

4 pages (1000 words)

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... The following data are the number of decayed, missing and filled teeth (DMFT) in a sample of 30 20-year-old dental in a particular country:
S.No
Teeth missing=x
Frequency
f
xf
X2f
1
0
1
0
0
2
1
1
1
1
3
2
2
4
8
4
3
4
12
36
5
4
2
8
32
6
5
3
15
75
7
6
4
24
144
8
7
3
21
147
9
8
4
32
256
10
9
2
18
162
11
10
1
10
100
12
11
2
22
242
13
12
1
12
144
total
30
179
1347
a. Calculate the sample mean DMFT and the estimated standard deviation.
The sample mean of a grouped data is equal to the ratio of sum of product of variable value and their corresponding frequency to the total frequency of data or sample size.
Sample mean:
Sample mean= sum of product of X & f/ sum of f
X-bar = ∑xf/ ∑f
From the above frequency...

FREQUENCY DISTRIBUTIONS

3 pages (750 words)

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... to Probability Brandon M. Blackmon Trident International Frequency distribution table Frequency distribution tables present data in the form of values and their frequencies. It helps in the calculation of, measures of central tendencies, for example, the mean, as well as, measures of variations including the range, standard deviation, and variance. To measure the standard deviation and the variance, one has to calculate the average of standard deviations of all the values from the mean. The below frequency distribution table shows the collected data relating to the amount of time spent on physical fitness training every day, in the form of minutes, and the frequencies.
Time spent in physical fitness...

Descriptive Statistic paper

3 pages (750 words)

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... on your skew value and histogram, discuss the best measures of central tendency and dispersion of your data. Justify your selection Skew is themeasure of symmetry in a data set, data can be positively skewed or negatively skewed, positively skewed or data skewed to the right means that more observations are concentrated on the lower measures of the data, negative skewed or data skewed to the left data means that more observations are concentrated on the higher measures of the data.
The following diagrams shows positive and negative skewed data
However data may be symmetrical which means it will take a bell shaped form of diagram and therefore this is a normal distribution where the mean it is at the ...

Binomials

1 pages (250 words)

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... A The probability distribution of a random variable X is given. x 2 3 4 P(X = x) 0.2 0.4 0.3 0 Compute the mean, variance, andstandard deviation of X. (Round your answers to two decimal places.)
mean
2.3
variance
0.81
standard deviation
0.9
2. The probability distribution of a random variable X is given.
x
-2
-1
0
1
2
P(X = x)
1/16
4/16
6/16
4/16
1/16
Compute the mean, variance, and standard deviation of X.
mean
0
variance
1
standard deviation
1
3. The probability distribution of a random variable X is given.
x
450
460
540
555
570
P(X = x)
0.2
0.1
0.4
0.2
0.1
Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.)
mean
5...

Statistics

2 pages (500 words)

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... sure to show your work in case partial credit is awarded. To receive full credit, work must be shown if applicable. Section 5 Introduction to Normal Distribution and the Standard Normal Distribution
1. Use the Standard Normal Distribution table to find the indicated area under the standard normal curve.
(1 points per each part)
a. Between z = 0 and z = 1.24
Area to the left of z = 0 is P(z < 0) = 0.5
Area to the left of z = 1.24 is P(z < 1.24) = 0.8925
Therefore,
P(0 < z < 1.24) = P(z < 1.24) – P(z < 0) = 0.8925 – 0.5 = 0.3925
b. To the left of z = 1.68
Area to the left of z = 1.68 is P(z < 0) = 0.9535
c. Between z = -1.52 and z = -0.64
Area to the left of z = -1.52 is P(z < -1.52) = 0.0643
Area t...

Effect of trampling on length of Cranesbill leaves

4 pages (1000 words)

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... Effect of Trampling on the Length of Cranesbill Leaves Table of Contents Interpretation 3 Evaluation 6 References 8 Interpretation We get the mean and standard deviation again for the main results, and come up with the table below. The standard deviation of the lengths of the leaves may be significant in determining the validity of the sample data, as well as provide insights into the nature of the samples and the sampling area (Statistics Canada 2011; Wolfram Research 2012) . From the mathematics we note that the standard deviation can tell us something of the spread of data for a particular area in the field. Above we get the mean and the standard deviation for the measured leaf lengths along each ...

Business research analysis

10 pages (2500 words)

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... one Provide an overview of the survey results THE INSTITUTE MEMBER The Institute members are working in four different jobs. Analysts represent 27%, whereas, consultants comprise 32.3%.( Sanders & Smidt, 2000) whereas 17% have managerial jobs. The employees compose 23.7% of the total population
Of the total 300 persons surveyed, 21.7% are graduate individuals. The members compose 42.3% while the remaining fellows belong to 36%.
Scotland residents compose 6.3% of the 300 population. The North Englanders comprise 5.7% ,whereas, people from Midland Wales comprise 15.3%. The Southwesterners belong to 17.7%. The SouthEastern / Londoners comprise 55% of the population.
Of the total population,...

Business stat project

2 pages (500 words)

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... April 27, Business statistics project Statistical analysis is important to managerial decisions as it offersinsights into data. Its results include summaries of trends and analysis of possible differences in variables and their significance for informed decisions. This discussion offers analysis of data on age, household income, and years of education of customers for five major motor vehicle companies in North America. The discussion is based on the hypothesis that Cadillac has retained control of the segment of older men and has lost the other segment to its competitors and that this is a possible factor to decline in the company’s market control.
Table 1: Mean, median, mode, and standard deviatio...

Financial Markets Assignment

8 pages (2000 words)
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... of Contents Efficient Market Hypothesis: 2 1 The weak form of EMH 2 2 Semi-strong form of EMH 2 3 Strong form of EMH 3
2. Statistical Testing of EMH: 3
3. Data: 3
4. Methodology 4
5. Descriptive Test: 5
6. Autocorrelation Test: 5
7. Appendix 6
8. References 12
Efficient Market Hypothesis:
Prices of stocks in an efficient market reflect all available information. Participants in such market would not be able to earn abnormal profits. The intrinsic value of a stock is equal to the future discounted value of cash flows to investors. Company's intrinsic value which is based on its future performance is dependent on currently available informat...

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