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By what percent the average export of country T over all the given years more than the average export of country Rover all the given years?

What is a pilot survey? What is its objective?

Distinguish between Domestic and international business.

Observe the scatter plot and identify the type of correlation.

In the given frequency distribution, which is the median term?

$\begin{array}{cc}Ageinyears& No.ofpeople\\ 15& 3\\ 16& 8\\ 17& 10\\ 18& 10\\ 19& 5\\ 20& 4\end{array}$

In how many of the commodity groupings was the 1970 production goal achieved?

What is meant by negative correlation?

What is meant by an exclusive method?

The trial balance of Anuj did not agree. It showed an excess credit of Rs. 6,000. He put the difference to a suspense account. He discovered the following errors.

(a) Cash received from Ravish Rs. 8,000 posted to his account as Rs. 6,000

(b) Return inwards book overcast by Rs. 1,000

(c) Total of sales book Rs. 10,000 was not posted to sales account.

(d) Credit purchase from Nanak Rs. 7,000 were recorded in the sales book. However, Nanak's account was correctly credited.

(e) Machinery purchased for Rs. 10,000 was posted to purchase account as Rs. 5,000

Rectify the errors and prepare a suspense account.

Calculate mean, variance and standard deviation for the following frequency distribution:

$\begin{array}{cccccccc}\text{Class}& 0-30& 30-60& 60-90& 90-120& 120-150& 150-180& 180-210\\ \text{Frequency}& 2& 3& 5& 10& 3& 5& 2\end{array}$

The following table contains the heights and weights of a sample of 5 women from a room. Find the approximate weight corresponding to 165 cm using interpolation.

$\begin{array}{cc}Height(X,cm)& Weight(Y,kg)\\ 150& 54\\ 160& 58\\ 170& 63\\ 175& 65\\ 180& 70\end{array}$

Construct index numbers of prices of the items in the year 2013 from the following data by:
- Laspeyre's method
- Paasche's method
$$\begin{array}{ccccc}\text{Commodities}& \text{Price}\left(P_0\right)& \text{Quantity}\left(Q_0\right)& \text{Price}\left(P_1\right)& \text{Quantity}\left(Q_1\right)\\ & \left(2006\right)& \left(2006\right)& \left(2013\right)& \left(2013\right)\\ A& 10& 30& 12& 50\\ B& 8& 15& 10& 25\\ C& 6& 20& 6& 30\\ D& 4& 10& 6& 20\end{array}$$

The grades (CGPA) of 5 college students and their average salaries in lakhs/year are given in the table below. Calculate the rank coefficient.

$\begin{array}{cc}CGPA\left(G\right)& Salary\left(S\right)\\ 6.5& 4\\ 7.0& 5\\ 8.0& 6.5\\ 7.5& 8\\ 9.5& 7\end{array}$

Steven Gerrard, arguably one of the most consistent and skilled players in the English premier league was given the following monthly ratings by a football website for the past 40 months.

$\begin{array}{ccccccc}Rating& 6& 8& 8.5& 9& 7& 10\\ Numberofmonthswiththerating& 2& 8& 10& 7& 8& 5\end{array}$

Calculate how his rating is deviating from his average performance in terms of mean deviation about mean.

For the value of principal quantum number 3 the possible values for azimuthal quantum number will be:

When is rank correlation method used?

Name the commonly used measure of central tendency.

Calculate the simple aggregative price index and interpret it for the following:

$\begin{array}{ccc}\text{Commodities}& \text{1980 Price}& \text{2017 Price}\\ \text{Coffee (per cup)}& 0.20& 1.51\\ \text{Milk (per gallon)}& 1.60& 3.35\\ \text{Burger}& 0.44& 4.42\\ \text{Jeans}& 27& 63\\ \text{Movie ticket}& 1.92& 13\end{array}$

All prices are in dollars.

Calculate the weighted aggregative index number for the following commodities considering the base period consumption as a standard:

$\begin{array}{ccccc}& P_0& Q_0& P_1& Q_1\\ H& 0.5& 20& 2.5& 25\\ I& 10.5& 10& 7& 11\\ J& 3.5& 8& 4& 12\\ K& 7& 25& 14& 30\\ L& 15& 13& 22& 18\end{array}$

All prices are in dollars.

Identify the correct statement(s) about population.

Economic facts expressed in terms of numbers are known as ___ .

How will you choose the wants to be satisfied?

Find Karl Pearson's correlation coefficient if N = 50, $\sum X=75,\sum Y=80,\sum X^2=130,\sum Y^2=140$ and $\sum XY=128$.

Find the correlation coefficient for the data using the shortcut method for the following data.

$\begin{array}{cc}Quantity\left(X\right)& Profit\left(Y\right)\\ 150& 1600\\ 180& 1800\\ 210& 2000\\ 240& 2300\\ 250& 2500\end{array}$

Three friends Aravind, Rahul and Nikhil rated 5 movies as tabulated below. Which two of them has the most similar tastes in movies?

$\begin{array}{cccc}Movies& Aravind& Rahul& Nikhil\\ M_1& 5.5& 6.5& 7\\ M_2& 6.5& 8.5& 8\\ M_3& 8.5& 5& 6.5\\ M_4& 4& 7& 7.5\\ M_5& 7& 6& 10\end{array}$

Statistical methods are no substitute for common sense. Comment.

The price quotation of different commodities for 2011 and 2012 are given below. Calculate the index number for 2012 with 2011 as base year by using (i) Simple average of price relative and (ii) Weighted average of price relative

If the manufacturing cost and the profit remained constant for 2008 and 2009, and if the logistics cost for 2008 and 2009 were Rs 200 and Rs 270, what was the percentage increase in raw material cost?

Study the Lorenz curve and answer the following question.



The top 20 percent of the population controls as much wealth as the bottom ___ percent of the population.

Find the mean by direct method of the set of ages in the table below:-

$\begin{array}{cccccc}\text{Age (yrs)}& 10& 11& 12& 13& 14\\ \text{No. of Students in class}& 0& 8& 3& 2& 7\end{array}$

From an individual perspective, which index between Consumer Price Index(CPI) and Wholesale Price Index (WPI) would affect your standard of living more? Give reason.

If $\alpha$ and $\beta$ are different complex numbers with $|\beta |=1$ then find $\left|\frac{\beta -\alpha }{1-\overline{\alpha }\beta }\right|$
Here $\alpha$ and $\beta$ are different complex numbers such that $|\beta |=1$

Calculate arithmetic mean using direct method.

$\begin{array}{cccccc}\text{Wages (in Rs)}& 10& 20& 30& 40& 50\\ \text{Number of workers}& 4& 5& 3& 2& 1\end{array}$

What are the different sources of "secondary data"?

For a set of data, the mean of x values is 4.5, the slope of the line is -2 and mean of y values is 1. Find the y-intercept.

Do you agree that classified data is better than raw data?

For the given distinct values $x_1,x_2,x_3,.....x_n$ occurring with frequencies $f_1,f_2,f_3,...f_n$ respectively. The mean deviation about mean where $\overline{x}$ is the mean and N is total number of observations would be

Distinguish between population and sample.

Calculate the weighted price relative index on the basis of the following data:

$\begin{array}{cccc}\text{Commodity}& \text{Quantity in 2011 (Units)}& \text{Price in 2011 (Rs)}& \text{Price in 2016 (Rs)}\\ A& 80& 5& 8\\ B& 65& 8& 14\\ C& 42& 12& 18\\ D& 37& 4& 5\\ E& 31& 4& 5\\ F& 15& 2& 4\end{array}$

The distribution of the number of hours spent at work in a year by 60 people is given below. Calculate the standard deviation using step deviation method.

$\begin{array}{cccccc}No.ofhours& 0-500& 500-1000& 1000-1500& 1500-2000& 2000-2500\\ No.ofpeople& 6& 12& 15& 18& 9\end{array}$

What is frequency distribution? How does it differ from frequency array?

A consumer price index measures changes in

(i) retail prices

(ii) whole sale prices

(iii) producers prices

What are the objectives of diagrammatic presentation?

In a complex there are 25 families, 12 take coffee, 8 take coffee but not the tea. Find the number of families who take tea but not coffee assuming that each of them take atleast one of the drinks

Ceteris paribus, if the government provides subsidies on electricity bills, what would be the likely change in the market demand of desert coolers?

Which of the following alternatives is true?

(i) The class mid-point is equal to

(a) The average of the upper class limit and the lower class limit

(b) The product of upper class limit and the lower class limit

(c) The ratio of the upper class limit and the lower class limit

(d) None of the above

Which of the following are not causally related?

If the arithmetic of the data given below is 28, find (a) the missing frequency and (b) the median of the series

$\begin{array}{ccccccc}\text{Profit per Retail shop (in Rs)}& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60\\ \text{Number of Retail shops}& 12& 18& 27& --& 17& 6\end{array}$