Wednesday, 2 August 2017

Data Interpretation


BAR CHARTS

Introduction: Bar charts are one of the important types of DI as questions on Bar Graphs in the State Bank of India (SBI) Probationary Officers exams have been asked frequently. After Analysing previous year question papers we can say the data interpretation section will consist of 2–3 Bar Graphs. It is beneficial to every student to understand the concepts of Bar Graphs so that they can secure good marks in the section.

Bar Graphs: These graphs are one of the oldest methods to present a data. The bar graphs consist of bars, each of which is a thick box. The value of the reading the bar is determined by the height of the bar. The bar graphs are generally presented with different colors, shades, dots, dashes, etc. 

The questions on the basis of the Bar Graphs are generally asked to find the relation among facts and the figures. The question can be asked to find average, ratio or percentage of some facts and figures related to some other facts and figures.

Now we move onto the different kinds of bar charts and the kinds of data that can be represented on a bar chart:

1. Simple Bar Charts: The Simple bar chart is the ‘simplest’ bar chart which has one continuous variable charted along with one discrete variable. Exercise 1 shows an example.

Ex-1: Directions for Questions 1 to 5 :  Answer the questions based on the following bar graph.


Distribution of Rose production in different states

1.Which of the following state (s) contribute (s) less than 10 percent in the total rose production?
(a) Only Rajasthan 
(b) Rajasthan, Karnataka
(c) Rajasthan, Karnataka, Haryana
(d) Rajasthan, Karnataka, Haryana and Gujarat
(e) Rajasthan and Haryana

2.By what percentage rose production of other states is more than that of the Maharashtra?
(a) 25%
(b) 30%
(c) 20%
(d) 15%
(e) 10%

3.What is the approximate average production of roses (in thousands) across all the states? (Consider others as one state)
(a) 21
(b) 20
(c) 19
(d) 18
(e) 22

4.Approximately what percentage of the total rose production is shared by the other states?
(a) 10%
(b) 12.4%
(c) 17.6%
(d) 16.8%
(e) 15.5%

5.If total percentage contribution of the states having production of roses below twenty thousand is considered, which of the following statements is true?
(a) It is little above 35%
(b) it is exactly 35%
(c) It is below 35%
(d) It is more than 45%
(e) Cannot be determined

Answers (1-5) with Explanation:

2. Composite Bar Charts: If two or more sets of continuous variables are to shown on the same bar chart, we use what is called a composite bar chart. Exercise 2 will make it clear.

Ex-2: Directions for questions 6 to 10 : Study the following graph carefully and answer the questions based on it.

The production of fertilizer in lakh tones by different companies (A, B, C, D and E) for three years 1996, 1997 and 1998

6.The total production by five companies in 1998 is approximately what percent of the total production by companies B & D in 1996?
(a) 100%
(b) 50%
(c) 195%
(d) 207%
(e) 200%

7.What is the ratio between average productions by company B in three years to the average production by company C in three years?
(a) 6 : 7
(b) 8 : 7
(c) 7 : 8
(d) 7 : 6
(e) 6 : 5

8.For which of the following companies the rise or fall in production of fertilizer from 1996 to 1997 was the maximum?
(a) A
(b) B
(c) C
(d) D
(e) E

9.What is the percentage drop in production by company D from 1996 to 1998?
(a) 30%
(b) 43%
(c) 26%
(d) 35%
(e) 28%

10.The average production for three years was maximum for which of the following companies?
(a) D only
(b) E only
(c) B & D both
(d) D & E both
(e) E & B both

Answers (6-10) with Explanation:


3. Representation of percentage on a stacked bar chart:  Sometimes stacked bars can also be used to represent the break-up of some continuous variable. Exercise 3 will make it clearer.
Such a use of bar charts is quite convenient for comparing two or more sets of data.

Ex-3: Directions for Questions 11 to 15 : The following chart shows the composite of the GDP of two countries(India and Bangladesh)


11.What fraction of India's GDP is accounted for by services?
12.If the total GDP of Bangladesh is Rs10,000 crore, then the GDP accounted for by Manufacturing is:
(a) Rs200 crore
(b) Rs600 crore
(c) Rs2,000 crore
(d) Rs6,000 crore
(e) None of the above

13.If the total GDP of India is Rs30,000 crore, then the GDP accounted for by Agriculure, Services and Miscellaneous together is:
(a) Rs200 crore
(b) Rs600 crore
(c) Rs2,000 crore
(d) Rs9,000 crore
(e) None of the above

14.which country accounts for higher earning out of services and Miscellaneous together is?
(a) India
(b) Bangladesh
(c) Both spend equal amounts
(d) Cannot be determined

15.If the total GDP is the same for both the countries,then what percentage is Bangladesh's income through agriculture over India's income through services?
(a) 100%
(b) 200%
(c) 133.33%
(d) 125%
(e) 150%

Answers (11-15) with Explanation:

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