Data Interpretation Questions with Solution (NTA-NET 2021)

Data Interpretation

Data Interpretation questions are based on the information given in the tables and graphs.

Classification of Data Interpretation:

TABLES

A table is one of the easiest ways for summarizing data. A statistical table is the logical listing of related quantitative data in vertical columns and horizontal rows of numbers with sufficient explanatory and qualifying words, phrases, and statements in the form of titles, heading and notes to make clear the meaning of data.

POINT TO REMEMBER

 λ= The bars are drawn proportional in length to the total and then divided in the ratios of their components.

% Change (increase or decrease) 

GRAPHS

Graphs are a convenient way to represent information. The graphs should be labelled properly to show what part of the graphs shows what a value.

Bar Graph - Bar diagram consists of several equidistant rectangles. One for each category of the data in which the magnitudes are represented by the length or height of rectangle, whereas width of rectangles is immaterial. Thus, a bar is just one dimensional as only the length of the bar is to be considered and not the width. All the bars drawn in a diagram are generally of uniform width which depends on the number of bars to be constructed and the availability of the space.

 

Types of Bar Graphs are:

(i)   Simple Bar Graph: It is used to represent only one dependent variable.

 

(ii) Sub-divided Bar Graphs: These are used to represent the breakdown of a total into its component bars. A bar is divided into different segments, each segment represents a given component. Different shades, colours, designs etc. are used to distinguish the various components. An index is given to represent the various components. Tor compare, the order of various components in the different bars is same.

(iii)  Multiple Bar Graph (MBG): When a combination of inter-related variables is to be represented graphically, multiple bar diagrams are used. These are extended form of simple bar diagrams. In M.B.G. many aspects of the data are presented simultaneously with separated bars or various shades of colours. An index is given to explain the shades or colours used.

 

Line Graph (LG): LG are used to show how a quantity changes, very often the quantity is measured as time changes. If the line goes up, the quantity is increasing and the line goes down, the quantity is decreasing. If the line is horizontal, the quantity is not changing.

Pie Graph (PG): Pie graph is a pictorial representation of numerical data by non-intersecting adjacent sectors of a circle sector’s area of each sector is proportional to the magnitude of the data represented by the sector

The % of components parts can be converted to degrees by multiplying 3.6°.

Degree of any component part

Instructions:  The following bar diagram shows the registration of cars and total vehicles during first six months of the year 1998 in Delhi:

Study the above diagram and answer the questions (1 to 3) given below:

1. What was the increase in registration of vehicles other than cars from January to April 1998?

A.5000 

B.10000                        

C.15000                         

D.9000

Option: D

Explanation: Registration of other vehicles in January = 6000

Registration of other vehicles in April = 15000

Therefore, Increase = (15000-6000) = 9000

 

2. What was the percentage increase in registration of cars from May to June 1998?

A.11%                                     

B.39.28%                       

C.64.7%                                  

D. None

Option: C

Explanation: Registration of cars in May = 17000

Registration of cars in June = 28000

Increase = ((11000/17000) *100) % = 64.7%

 

3. What was the number of vehicles other than cars registered in March 1998?

A.5000                                    

B.10000                                   

C.40000               

D.7000

Option: B

Explanation: Number of vehicles other than cars registered in March 1998 = (25000-15000) = 10000.

Instructions:  Study the following graph carefully and answer the questions (1-5) given below it

1. What was the difference in profit between 1983 and 1984?

A. Rs. 5 Lakh

B. Rs. 10 Lakh

C. Rs. 15 Lakh

D. No Profit

Option: B

Explanation: Difference in profit between 1983 and 1984 = Rs. 20 Lakhs - Rs.10 lakhs =Rs.10 lakhs.

2: How many years was the income more than the average income of the given years?

A. One

B. Two

C. Three

D. None of these

Option: C

Explanation: Average income =Rs. (30+50+40+60+60)/5 = Rs. 48 lakhs.

Hence the income was more than average income in the years 1983, 1985, 1986

3:  What was the percentage increase in the expenditure from 1984 to 1985?

A.   66 2/3

B.   33 1/3

C.   10

D.   120

Option: B

Explanation: Increase in expenditure from 1984 to 1985

=Rs. 10 lakhs                                    

= 10/30 * 100                                    

= 33 1/3 %

4:  The income in 1984 was equal to the expenditure of which of the following years?

A. 1982                                   

B. 1983                          

C. 1985                                    

D.  None of These

Option: C

Explanation: It is obvious from the graph that income in 1984 was equal to the expenditure in 1985.

5: In which of the following years was the maximum profit?

A. 1983

B. 1984

C. 1985

D. 1986

Option: D

Explanation: Profit in 1982, 1983, 1984, 1985 and 1986 are respectively Rs. 10 lakhs, Rs. 20 lakhs, Rs. 10 lakhs, Rs. 20 lakhs and Rs. 25 lakhs; so, it was maximum in 1986.