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Mean and standard deviation of two distributions of 100 and 150 items are 50, 5 and 40, 6 respectively. Find the standard deviation of all the 250 items taken together.

Number of goals scored by Messi in champion's league for past 10 years is a follows: {1, 1, 6, 9, 8, 12, 14, 8, 8, 10}. Find the mean deviation about median.

Mr X is working on a frequency table for the data collected on the height of the people in different age groups in his locality. Which value is reflected in this activity?

Class mark, upper limit and lower limit of a class can be connected by using:

Why do we need to use special terms and concepts in sociology?

The following table provides data regarding the literacy rate (in percentage) of Tamil Nadu, classified based on sex and location. What is the type of classification being highlighted here?

$\begin{array}{cccc}\text{Sex}& \text{Rural}& \text{Urban}& \text{Total}\\ \text{Male}& 82.04& 91.80& 86.92\\ \text{Female}& 64.55& 82.31& 73.43\\ \text{Total}& 73.29& 87.05& 80.17\end{array}$

Identify
the ministry which may have released the following news items. Would
this be a ministry of the central government or the State government?
Why?

a.
An official release said that in 2004-05 the Tamil Nadu Textbooks
Corporation would release new versions for standards VII, X and XI.

b.
A new railway loop line bypassing the crowded Tiruvallur-Chennai
section to help iron ore exporters. The new line, likely to be about
80 km long, will branch off at Puttur and then reach Athipattu near
the port.

c.
The three-member sub-divisional committee formed to verify suicide by
farmers in Ramayampet mandal has found that the two farmers who
committed suicide this month have had economic problems due to
failure of crops.

Discuss the importance of Statistics in Economics?

An app-based taxi company 'Drivo' has the following questions in the feedback form that it gives to its customers.

A- Was the driver professional?
B - Would you recommend Drivo to a friend?
C- Were you satisfied with the ride?

Identify the correct sequence of the questions in the feedback form.

Locate the mode graphically:

$\begin{array}{cccccccc}\text{Marks}& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70\\ \text{No.of Students}& 5& 10& 20& 25& 20& 10& 5\end{array}$

Surveys conducted by a Non-Government Organisation reveal that in the state of Punjab, the area under cultivation of pulses has tended to shrink by 40% while the area under rice and wheat has tended to shrink by 20%, between the years 2007-2017. However, other crops like barley and maize have witnessed an increase in area by 43% and 39% respectively over the same period of time.

From the textual data provided, identify which crop's volume depreciated the highest from 2007-2017.

Which of the following is an example of data which can be quantified?

Construct the cost of living index for the year 2012 on the basis of 2004 from the following data and give your comments :

$\begin{array}{cccc}\text{Items}& \text{Price(in Rs) in 2004}& \text{Price(in Rs) in 2012}& \text{Weights}\\ \text{Food}& 39& 47& 4\\ \text{Fuel}& 8& 12& 1\\ \text{Cloth}& 14& 18& 3\\ \text{Rent}& 12& 15& 2\\ \text{Others}& 25& 30& 1\end{array}$

The following data shows the number of patients admitted in a hospital from different age groups.

$\begin{array}{ccccccc}\text{Age}& 5-15& 15-25& 25-35& 35-45& 45-55& 55-65\\ \text{Frequency}& 6& 11& 21& 23& 14& 5\end{array}$

Identify the modal class for the data

Construct index number of industrial production in the year 2015 from the following data on the basis of 2007’s production:

$\begin{array}{ccccc}\text{Industry}& \text{Unit}& 2007& 2015& \text{Weight}\\ \text{Electrical}& \text{Mill. Nos.}& 15& 22& 32\\ \text{Metallurgical}& \text{Th. Tonnes}& 25& 36& 8\\ \text{Mechanical}& \text{Th. Tonnes}& 60& 100& 12\\ \text{Mining}& \text{Th. Tonnes}& 80& 80& 23\\ \text{Textiles}& \text{Mill. Mtrs.}& 45& 64& 5\\ \text{Miscellaneous}& \text{Th. Tonnes}& 92& 130& 20\end{array}$

Consider the following statements about the Core Industries:

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

Write the equation that relates the profit earned (y) in years (x) through some games played.

What are the indicators of educational achievement in a country?

(I) A rising price index implies a growing level of economic activity.

(II) Simple index number can be constructed only by the simple aggregative method.

Identify the verb which indicates the tense of the sentence.

Hari will do whatever you tell him to without questioning your intentions.

Following information pertains to the daily income of 150 families. Calculate the arithmetic mean.

$\begin{array}{cc}\text{Income (in Rs)}& \text{Number of Families}\\ \text{More than 75}& 150\\ \text{More than 85}& 140\\ \text{More than 95}& 115\\ \text{More than 105}& 95\\ \text{More than 115}& 70\\ \text{More than 125}& 60\\ \text{More than 135}& 40\\ \text{More than 145}& 25\end{array}$

For a distribution,
$\sum FX=5x+2,\sum F=12$

If the mean of the distribution is 6, what is the value of x?

Identify the correct formula for calculating r.

The earnings of Jack for different months are given.





Which box summarizes the given data correctly?

Write the range of the daily expenses of five persons: 17, 22, 37, 42, 57.

How do
experimental and control groups differ? Explain with the help of an
example.

Write any three parts which have to be present in a table.

Measure the height of your classmates. Ask them the height of their benchmate. Calculate the correlation coefficient of these two variables. Interpret the result.

Are
judgment and decision-making interrelated processes? Explain.

Calculate total cost, average cost, average fixed cost, average variable cost and marginal cost on the basis of the following information :

$\begin{array}{cccccc}\text{Output (units)}& 0& 1& 2& 3& 4\\ \text{TFC (Rs)}& 60& 60& 60& 60& 60\\ \text{TVC (Rs)}& 0& 50& 90& 180& 300\end{array}$

Construct a price index for the following using Average of price relative method.

$\begin{array}{ccccccc}\text{Items}& H& K& L& M& N& O\\ \text{Price in 2008}& 20& 30& 10& 25& 40& 50\\ \text{Price in 2003}& 25& 30& 15& 35& 45& 55\end{array}$