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Construction of a Frequency Distribution.
[...]
Calculate the range of the data, defined as Range = Maximum value − Minimum value.
Decide on the number of intervals in the frequency distribution, k.
Determine interval width as Range/k
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Construction of a Frequency Distribution.
Determine interval width as [...]
Determine the intervals by successively adding the interval width to the minimum value, to determine the ending points of intervals, stopping after reaching an interval that includes the maximum value.
Count the number of observations falling in each interval.
Construct a table of the intervals listed from smallest to largest that shows the number of observations falling in each interval.
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The Protection of Children from Sexual Offences Act, 2012
Definition of a child under the Act: The Act is gender-neutral and defines a child as any person below the age of eighteen years.
The Protection of Children from Sexual Offences Act, 2012 provides:
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Education as Fundamental Right:
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This right provides that “child belonging to disadvantage group” means a child who
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This right provides that “child belonging to disadvantage group” means a child who
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Education as Fundamental Right:
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DPP is the governing manual for all defence procurement. It was part of a set of military reforms undertaken to address the many deficiencies noticed during the 1999 Kargil war.
It was launched for the first time in 2002, and since then, DPP has been revised periodically. The DPP 2016 is based on the recommendations of the expert committee headed by former Home Secretary Dhirendra Singh, which submitted its report last year; most of its suggestions are accepted.
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It seeks to address the concerns of defence manufacturers and suppliers and enhanced transparency.
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First of all, India has all the necessary prerequisites for a robust military-industrial complex: a diverse private sector, a large base of engineering institutes, and a growing defence budget.
However, India also faces a combination of security threats from both state and non-state actors is an obvious reason by it needs to be self-reliant in military equipment. It will also significantly reduce the potential for corruption in military procurement.
The move will give fillip to make in India and job creation. It will also bring down dependence on imports.
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World Customs Organization
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Trade Facilitation Agreement (TFA)
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What is NTFAP?
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Construction of a Frequency Distribution.
Sort (in ascending order)
Calculate the range (Range = Maximum value − Minimum value)
Intervals creation (decide the number you will put in the frequency distribution, k.)
Width determination ( interval width = Range/k.)
Add the interval width to the minimum value (stop after reaching an interval that includes the maximum value)
Count (the number of observations in each interval)
Table (make a table of intervals from small to large that shows the number of observations in each one)
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Construction of a Frequency Distribution.
S [...]
C [...]
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How do you calculate the range (Range = [...] )
(second step in frequency distribution)
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Construction of a frequency distribution
3.- I [...]
4.-W [...]
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Construction of a frequency distribution
3.- Intervals creation ( [...] .)
4.-Width determination (interval width [...] )
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Construction of a Frequency Distribution.
5.-A [...]
6.-C [...]
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The letter k represents [...]
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\(\bar{X}_w = \displaystyle\sum_{i=1}^n W_iX_i\)
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Now suppose that the portfolio manager maintains constant weights of 60 percent in stocks and 40 percent in bonds for all five years. This method is called a constant-proportions strategy. Because value is price multiplied by quantity, price fluctuation causes portfolio weights to change. As a result, the constant-proportions strategy requires rebalancing to restore the weights in stocks and bonds to their target levels. Assuming that the portfolio manager is able to accomplish the necessary rebalancing, we can compute the portfolio returns in 2009, 2010, 2011, and 2012 with Equation 4 as follows:
Portfolio return for 2009 = 0.60(34.1) + 0.40(11.0) = 24.9%
Portfolio return for 2010 = 0.60(16.8) + 0.40(6.4) = 12.6%
Portfolio return for 2011 = 0.60(–9.2) + 0.40(8.4) = –2.2%
Portfolio return for 2012 = 0.60(6.4) + 0.40(3.8) = 5.4%
We can now find the time-series mean of the returns for 2008 through 2012 using Equation 3 for the arithmetic mean. The time-series mean total return for the portfolio is (−19.9 + 24.9 + 12.6 − 2.2 + 5.4)/5 = 20.8/5 = 4.2 percent.
Instead of calculating the portfolio time-series mean return from portfolio annual returns, we can calculate the arithmetic mean stock and bond fund returns for the five years and then apply the portfolio weights of 0.60 and 0.40, respectively, to those values. The mean stock fund return is (−33.1 + 34.1 + 16.8 − 9.2 + 6.4)/5 = 15.0/5 = 3.0 percent. The mean bond fund return is (−0.1 + 11.0 + 6.4 + 8.4 + 3.8)/ 5 = 29.5/5 = 5.9 percent. Therefore, the mean total return for the portfolio is 0.60(3.0) + 0.40(5.9) = 4.2 percent, which agrees with our previous calculation.
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A hypothetical investment in a single stock initially costs €100. One year later, the stock is trading at €200. At the end of the second year, the stock price falls back to the original purchase price of €100. No dividends are paid during the two-year period. Calculate the arithmetic and geometric mean annual returns.
First, we need to find the Year 1 and Year 2 annual returns with Equation 1.
Return in Year 1 = 200/100 – 1 = 100%
Return in Year 2 = 100/200 – 1 = –50%
The arithmetic mean of the annual returns is (100% − 50%)/2 = 25%.
Before we find the geometric mean, we must convert the percentage rates of return to (1 + R_{t}). After this adjustment, the geometric mean from Equation 6 is √2.0×0.502.0×0.50 – 1 = 0 percent.
The geometric mean return of 0 percent accurately reflects that the ending value of the investment in Year 2 equals the starting value in Year 1. The compound rate of return on the investment is 0 percent. The arithmetic mean return reflects the average of the one-year returns.
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X_{H = } [...]
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Sampling is used when:
1. The population is infinite.
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