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Calculate mode from the given data:

$\begin{array}{ccccccc}\text{Variable}& 30& 35& 40& 45& 50& 55\\ \text{Frequency}& 5& 9& 14& 10& 6& 4\end{array}$

Which of the following standards are measured by CSO?

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Define a continuous series. What does the frequency represent in this case?

The monthly per capita expenditure incurred by workers for an industrial centre during 1985 and 2008 on the following items are given below. The weights of these items are 70, 16, 9, 3 and 2 respectively. Prepare a weighted index number for cost of living for 2008 with 1985 as the base.

$\begin{array}{ccc}\text{Items}& \text{Price in 1985}& \text{Price in 2008}\\ \text{Food}& 50& 100\\ \text{Clothing}& 40& 50\\ \text{Fuel and lighting}& 45& 60\\ \text{House Rent}& 30& 40\\ \text{Misc}& 35& 65\end{array}$

Wages of 50 workers are given. Present them in the form of exclusive frequency distribution with class interval as 45 - 55, 55 - 65 etc.

$\begin{array}{ccccccccccccccc}95& 92& 91& 90& 88& 82& 86& 87& 87& 88& 70& 72& 76& 77& 77\\ 79& 79& 79& 78& 78& 68& 67& 67& 66& 65& 62& 62& 62& 62& 64\\ 58& 59& 60& 60& 60& 60& 61& 62& 62& 62& 55& 55& 55& 56& 57\\ 54& 53& 52& 52& 50& & & & & & & & & & \end{array}$

The following scatter chart shows ___ positive correlation.

A _____ refers to a quantity whose value can vary from one investigation to another.

Trial balance of Kohli did not agree and showed an excess debit of Rs. 16300. He put the difference to a suspense account and discovered the following errors.

(a) Cash received from Rajat Rs. 5,000 was posted to the debit of Kamal as Rs. 6,000.

(b) Salaries paid to an employee Rs. 2,000 were debited to his personal account as Rs. 1,200.

(c) Goods were withdrawn by the proprietor for personal use Rs. 1000 were credited to sales account as Rs. 1,600.

(d) Depreciation provided on machinery Rs. 3,000 was posted to machinery account as Rs. 300.

(e) Sale of an old car for Rs. 10,000 was credited to sales account as Rs. 6,000.

Rectify the errors and prepare a suspense account.

What is meant by descriptive statistics?

Match the following
$\begin{array}{cc}\text{(i) Mean}& \text{A. Middle value}\\ \text{(ii) Median}& \text{B. Most popular value}\\ \text{(iii) Mode}& \text{C. Gets highly affected by extreme values}\end{array}$

Consider the following statements regarding IIP:-

Which of the statement(s) given above is/are correct?

In which of the following calculations, the less weightage is given to the primary products?

Mark the following statements as true or false.

(i) Statistics can only deal with quantitative data.

(ii) Statistics solves economic problems.

(iii) Statistics is of no use to Economics without data.

Calculate the cost of living index number from the following data :

A good questionnaire should have :

(A) Minimum questions
(B) Concise
(C) Clear
(D) All of the above

Find out the mean height from the following data relating to height measurements of 8 persons in centimeters.

$\begin{array}{cccccccc}159& 161& 163& 165& 167& 169& 171& 173\end{array}$

Discuss advantages and disadvantages of primary data.

Write the importance of quality of data in statistical analysis.

If $\sum (X-\overline{X})(Y-\overline{Y})$ = 90, $\sum (X-\overline{X}{)}^2$ = 144, $\sum (Y-\overline{Y}{)}^2$ = 250 and N= 50, what is Karl Pearson's correlation coefficient?

What is scatter diagram? What is the limitation of scatter diagram as a method of estimating correlation?

Calculate the coefficient of variation for the following data :

$\begin{array}{cccccc}\text{Weight (kg)}& 0-20& 20-40& 40-60& 60-80& 80-00\\ \text{No. of Persons}& 81& 40& 66& 49& 14\end{array}$

A set is defined as a __________________.

(A) If mean of a service is 30 and mode is 25. Find median.

(B) The wholesale price index in India is continuously rising over the year 2012 and 2013.

Which value is compromised with the rising wholesale price index ?

The distance travelled by a scooter during five months are respectively 890 km, 940 km, 640 km, 570 km and 760 km. Find the standard deviation of the distances.

The yield of wheat and rice per acre for 10 districts of a state is as under

$\begin{array}{ccccccccccc}\text{District}& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10\\ \text{Wheat}& 12& 10& 15& 19& 21& 16& 18& 9& 25& 10\\ \text{Rice}& 22& 29& 12& 23& 18& 15& 12& 34& 18& 2\end{array}$

Calculate for each crop,

(i) Range

(ii) QD

(iii) Mean Deviation about Mean

(iv) Mean Deviation about Median

(v) Standard Deviation

(vi) Which crop has greater variation ?

(vii) Compare the value of different measures of each crop.

The time (in seconds) taken by 150 athelets to run a 110 m hurdle race are tabulated below.

$\begin{array}{ccccccc}Class& 13.8-14& 14-14.2& 14.2-14.4& 14.4-14.6& 14.6-14.8& 14.8-15\\ Frequency& 2& 4& 5& 71& 48& 20\end{array}$

The number of atheletes who completed the race in less than 14.6 s is

Variables in a correlation are called ___

Is the change in any price reflected in a price index number?

The average wage of a rail-road worker per day was Rs. 119 in 2000 and Rs. 245 in 2005. The consumer price index for these years was 95.5 and 123.5, respectively. Show that the money wage increased by about $59\%$ in 2005 as compared as 2000.

State the behavior of Marginal Physical Product, under Returns to a Factor.

Draw a Lorenz curve from the data given below

$\begin{array}{cccccc}\text{Income}& 100& 200& 400& 500& 800\\ \text{Number of Persons}& 80& 70& 50& 30& 20\end{array}$

Which of the following cannot be the value of a correlation coefficient?

Q12. Consider the following statements.

1. Index of Industrial Production is compiled by Central Statistical Organisation.

2. 2015-16 is considered as the ‘base year’ for calculation.

3. Manufacturing sector has the maximum weightage in the index.

Which of the above statement(s) is/are correct?

Two judges in a baby competition rank the 12 entires as follows :

$\begin{array}{ccccccccccccc}\text{Entries}& \text{A}& \text{B}& \text{C}& \text{D}& \text{E}& \text{F}& \text{G}& \text{H}& \text{I}& \text{J}& \text{K}& \text{L}\\ \text{X- Judge}& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10& 11& 12\\ \text{Y-Judge}& 12& 9& 6& 10& 3& 5& 4& 7& 8& 2& 11& 1\end{array}$
What degree of agreement is there between the judges?

The following table contains the quantities of a good produced by a firm and the corresponding profits in rupees. Find the correlation coefficient for the data using the shortcut method.

$\begin{array}{cc}Quantity\left(X\right)& Profit\left(Y\right)\\ 250& 10000\\ 500& 12000\\ 750& 15000\\ 1000& 20000\\ 1250& 17000\\ 1500& 16000\end{array}$

If $x=at+b{t}^2$, where $x$ is the distance travelled by the body in kilometers while $t$ is the time in seconds, then the unit of $b$ is

Calculate the correlation coefficient for the following data.

$\begin{array}{cc}X& Y\\ 2& 4\\ 3& 6\\ 4& 9\\ 5& 10\\ 6& 11\\ 7& 13\\ 8& 17\end{array}$

Write the difference between Frequency Polygon and Histogram.

Median of a frequency distribution cannot be known from the ogives. (True / False)

Give two examples each of the organisations where 'ready-to-use', 'customised' and 'tailored' accounting packages respectively suitable to perform the accounting activity.

Find cov(X,Y) for the following data.

$\begin{array}{cc}X& Y\\ 4& 5\\ 6& 9\\ 8& 12\\ 10& 14\\ 12& 15\end{array}$

Which type(s) of presentation would you opt to present the annual expenditures of a company?

When only a limited amount of resources are available to satisfy a consumer's wants, he/she must

Distinguish between primary data and secondary data.

Foreign companies are more equipped than domestic companies to provide quality service in good time.

The Bombay stock exchange(BSE) sensex/index is given by S = log x and NSE index by $N=(logx{)}^2$ where x > 1. Find the number of times the two indices cross each other.