Explore topic-wise InterviewSolutions in .

The ages of 5 husbands and their wives are tabulated below. Find the correlation coefficient for their ages.

$\begin{array}{cc}Husban{d}^{\prime }sage\left(X\right)& Wif{e}^{\prime }sage\left(Y\right)\\ 24& 21\\ 28& 28\\ 32& 28\\ 36& 34\\ 40& 39\end{array}$

Calculate the mean deviation from median and coefficient of MD from the given data

$\begin{array}{cc}\text{X}& \text{Frequency}\\ 12& 8\\ 18& 12\\ 25& 15\\ 35& 23\\ 47& 16\\ 55& 18\\ 62& 31\\ 75& 12\end{array}$

The mode of the given data
$\begin{array}{cc}\text{Wages(in Rs.)}& \text{No. of workers}\\ 0-5& 3\\ 5-10& 7\\ 10-15& 15\\ 15-20& 30\\ 20-25& 20\\ 25-30& 10\\ 30-35& 5\end{array}$
is

Calculate the mean deviation using mean and standard deviation for the following distribution.
$\begin{array}{cc}\text{Classes}& \text{Frequencies}\\ 20-40& 3\\ 40-80& 6\\ 80-100& 20\\ 100-120& 12\\ 120-140& 9\\ \text{Total}& 50\end{array}$

Bar diagram is a

(a) one-dimensional diagram (b) two-dimensional diagram

(c) diagram with no dimension (d) none of these

The preferred characteristic(s) of a base year is(are)

Mention two points on the significance of Statistics in Economics.

Consider the following committees constituted from time to time to determine poverty line and match them with their key recommendation:

​

Which of the above statements is/are correct

The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.

$\begin{array}{cccccc}\text{Size of Land Holdings in(acres)}& \text{Less than 100}& 100-200& 200-300& 300-400& 400\text{and above}\\ \text{Number of Families}& 40& 89& 148& 64& 39\end{array}$

What are sub-divided bar diagrams?

Find out range and coefficient of range of the following series. $\begin{array}{cccccc}\text{Size}& 5-10& 10-15& 15-20& 20-25& 25-30\\ \text{Frequency}& 4& 9& 15& 30& 40\end{array}$

The following table contains the cost of 5 motorcycles and their corresponding mileages in (km/litre). Find the correlation coefficient using the shortcut method.

$\begin{array}{cc}\text{Cost (X)}& \text{Mileage (Y)}\\ 50000& 40\\ 100000& 30\\ 150000& 25\\ 200000& 15\\ 250000& 10\end{array}$

Figure shows four paths along which 4 different objects move from a starting point to a final point, all in the same time interval. The gridlines are equally spaced. Rank the paths according to the average speed, greatest first.

When are the two variables said to be in perfect correlation?

On the basis of the following information, calculate Fisher's index number:

Find the coefficient of mean deviation about median for the following cumulative frequency distribution:

$\begin{array}{ccc}x& \text{frequency}& \text{Cumulative frequency}\\ 22& 1& 1\\ 34& 2& 3\\ 39& 2& 5\\ 45& 8& 13\\ 54& 8& 21\\ 56& 9& 30\\ 68& 4& 34\\ 78& 4& 38\\ 84& 2& 40\end{array}$

Which of the following errors is more serious and why?

(a) Sampling error

(b) Non-sampling error

The mean of following frequency table is $50.$

If the total of frequency is $120.$ Then the missing frequencies $f_1,f_2$ are respectively
$\begin{array}{cccccc}\text{Class}& 0-20& 20-40& 40-60& 60-80& 80-100\\ \text{Frequency}& 17& f_1& 32& f_2& 19\end{array}$

In the reaction,

2$N{H}_3$+$F_2$$⟶$$N_2{F}_4$+6HF

16.85g of $N_2{F}_4$ is obtained by mixing 2g$N{H}_3$ and 8g $F_2$. The percentage yield of the production is:

Textual presentation is otherwise known as ___.

Why do we need an index number?

The runs scored by a batsman in 60 innings are given below. Find the standard deviation of the runs using the assumed mean method.

$\begin{array}{ccccccc}Runs& 0-20& 20-40& 40-60& 60-80& 80-100& 100-120\\ No.ofinnings& 15& 20& 12& 5& 4& 4\end{array}$

$P_{01}=\sum \left(\frac{P_1{Q}_0}{P_0{Q}_0}\right)\times 100$ is the formula of:

Discuss the importance of Statistics in Business.

Write the negation of the following statements:

(i) Chennai is the capital of Tamil Nadu.

(ii) $\sqrt{2}$ is not a complex number.

(iii) All triangles are not equilateral triangles.

(iv) The number 2 is greater than 7.

(v) Every natural number is an integer.

From the following data construct fisher's ideal index:
$$\begin{array}{ccccc}\text{Items}& \text{Base year price}& \text{Base year quantity}& \text{Current year price}& \text{Current year quantity}\\ A& 5& 50& 7& 60\\ B& 6& 15& 8& 10\\ C& 8& 8& 11& 12\\ D& 7& 20& 10& 15\end{array}$$

Given the following data:

$\begin{array}{ccccc}\text{Year}& \text{CPI Industrial worker}& \text{CPI of Urban Non- Manual Employees}& \text{CPI agricultural}& \text{WPI (1993-94=100 )}\\ 1995-96& 313& 257& 234& 121.6\\ 1996-97& 342& 283& 256& 127.2\\ 1997-98& 336& 302& 264& 132.8\\ 1998-99& 414& 337& 293& 140.7\\ 1999-00& 428& 352& 306& 145.3\\ 1995-96& 444& 252& 234& 155.7\\ 2000-02& 463& 390& 309& 161.3\\ 2002-03& 482& 405& 319& 166.8\\ 2003-04& 500& 420& 331& 175.9\end{array}$
Source Economic Survey, Government of India 2004 - 2005
(i) Calculate the inflation rates using different index numbers.
(ii) Comment on the relative values of the index numbers.
(iii) Are they comparable?

Explain briefly the method of collecting data through mailed questionnaire. State its merits and demerits.

Calculate Karl Pearson's coefficient of correlation by actual mean method:

$\begin{array}{cccccc}\text{Price (Rs)}& 10& 12& 14& 16& 18\\ \text{Quatity (Units)}& 20& 29& 21& 22& 28\end{array}$

Find the mean deviation about the mean for the given data.

Q2. 38, 70, 48, 40, 42, 55, 63, 46, 54, 44

If there is no correlation between two variables, then ___

How does the imposition of a unit tax affect the supply curve of a firm?

State the assumptions made while determining the production possibility curve.

Given the following data :

$\begin{array}{ccccccccc}\text{Year}& 2004-05& 2005-06& 2006-07& 2007-08& 2008-09& 2009-10& 2010-11& 2011-12\\ \underset{(2004-05)}{\text{WPI}}& 121.6& 127.2& 132.8& 140.7& 145.7& 155.7& 161.3& 166.8\end{array}$

Calculate the inflation rate.

Compare the merits of census method and sampling method of collection of data.

What are the characteristics of a good measure of dispersion?

Depict 8 as tally mark

Calculate the correlation coefficient between $X$ and $Y$ and comment on their relationship.

$\begin{array}{ccccccc}X& 1& 3& 4& 5& 7& 8\\ Y& 2& 6& 8& 10& 14& 16\end{array}$

The reasons for deflation in Japan for almost 2 decades beginning early 1990s could be attributed to______.

Identify the correct formula for calculating r using the step deviation method, where U and V are the step deviations of X and Y.

Find the first quartile for the following data.

$\begin{array}{cc}Observation& Frequency\\ 12& 7\\ 15& 6\\ 18& 13\\ 32& 5\\ 33& 11\\ 45& 14\\ 48& 4\\ 53& 10\end{array}$

Explain the implications of the feature 'homogeneous products' in perfectly competitive markets.

Let P be the statement 'Ravi races' and let Q be the statement 'Ravi wins'. Then the verbal translation of $\sim (P\vee \sim Q)is$

Define Mode. Calculate Mode of the following frequency distribution:

$\begin{array}{cccccccc}\text{Marks}& 10-15& 15-20& 20-25& 25-30& 30-35& 35-40& 40-45\\ \text{No.of Students}& 3& 7& 16& 12& 9& 5& 3\end{array}$

State three merits and three demerits of collecting data by 'Personal Interview'.

Arjun and Karna had an archery competition where they had to shoot a target board with 7 concurrent circles dividing the board into 8 concurrent circular strips. The score for each successive outer strip decreases by unity with the centermost circle having a score of 8. Both of them took 78 shots. Dronacharya had difficulty in deciding who the winner was after the scores were recorded. Calculate the mean deviation about the score of innermost circle so as to decide who the winner is. Assume that the winner is less deviated from the bulls eye.

$$\begin{array}{ccccccccc}Points& 8& 7& 6& 5& 4& 3& 2& 1\\ Arjun\left(f_i\right)& 5& 7& 14& 23& 11& 10& 4& 4\\ Karna\left(f_i\right)& 5& 8& 11& 24& 14& 8& 5& 3\end{array}$$

Rectify the following errors.

(a) Credit sales to Mohan Rs. 7,000 were recorded as Rs. 700.

(b) Credit purchase from Rohan Rs. 9,000 were recorded as Rs. 900.

(c) Goods returned to Rakesh Rs. 4,000 were recorded as Rs. 400.

(d) Goods returned from Mahesh Rs. 1,000 were recorded as Rs. 100.

Find the median class for the given distribution:
$\begin{array}{cccccc}\text{Weekly wages (in Rs.)}& 0-100& 100-200& 200-300& 300-400& 400-500\\ \text{No. of workers}& 40& 39& 34& 30& 45\end{array}$