## Data interpretation -Bar graph data Interpretation questions

**Question1:**The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991-92 to 1998-99. Answer the questions based on this graph.

1.The foreign exchange reserves in 1997-93 was how many times that in 1994-95 ?

- (a) 0.7
- (b) 1.2
- (c) 1.4
- (d) 1.5
- (e) 1.8 1

2.What was the percentage increase in the foreign exchange reserves in 1997-98 over

- 1993-94 ?
- (a)100
- (b)150
- (c)200
- (d)620
- (e)2520

3.For which year, the percent increase of foreign exchange reserves over the previous-year,is the highest?

- (a)1992-93
- (b)1993-94
- (c)1994-95
- (d)1996-97
- (e)1997-98

4. The foreign exchange reserves in 1996-97 were approximately what percent of the average foreign exchange reserves over the period under review ? ,

- (a) 95%
- (b) 110%
- (c) 115%
- (d) 125%
- (e) 140%

5, The ratio of the number of years, in which the foreign exchange reserves are above the

average reserves, to those in which the reserves are below the average reserves, is :

- (a)2:6
- (b)3:4
- (c)3:5
- (d)4;4
- (e)5:3

__Solutions:__
Sol. 1.(d) : Required ratio = 5040/3360=1.5

Sol.2. (a). Foreign exchange reseryes in 1997-98 = 5040 million US $

Foreign exchange reserves in 1993-94 = 2520 million US $

Increase = (5040 — 2520) = 2520 million US $.

Percentage increase =[ (2520/2520) x 100)]% = 100%.

Sol.3. (a) : There is an increase in foreign exchange reserves during the years 1992-93,

1994-95 1996-97 and 1997-98 as compared to previous year (as shown by

bar-graph).

The percentage increase in reserves during these years compared to previous

year are :

(i) For 1992-93 =[{(3720-2640)/2640 }* 100] % = 40.91%

(ii) F01‘ 1994-95 =[{(3360 - 2520)/2520}* 100] % = 33.33%

(iii) For 1996-97 =[{(4320 - 3120)/3120}*100] % = 38.46%

(iv) For 1997-98 =[{ (5040 - 4320)/4320}*100] % = 16.67%

Clearly, the percentage increase over previous year is highest for 1992-93.

Sol.4. (d) : Average foreign exchange reserves over the given period

= [(2640 + 3720 + 2520 + 3360 + 3120+ 4320 + 5040 + 3120)] million US $

= 3480 million US $.

Foreign exchange reserves in 1996-97 = 4320 million US $.

Required Percentage = [( 4320/3480)*100)]% = 124.14% = 125%.

Sol.5. (c)Average foreign exchange reserves over the given period = 3480 million US$.

The country had reserves above 3480 million US $ during the years 1992-93, 1996-97 and 1997-98 ie., for 3 years and below 3480 million US$ during the years 1991-92, 1993-94, 1994-95, 1995-96 and 1998-99 ie., for5 years.

Hence, required ratio = 3 :5

**Question2:**The Bar graph provided below gives the sales of books from six branches of a publishing company during two consecutive years 2000 and 2001.Answer the questions based on this graph.

1. Total sales of branches B1, B3 and B5 together for both the years (in thousand numbers)is

- (a) 250
- (b) 310
- (c) 435
- (d) 560
- (e) 585

2.Total sales of branch B6 for both the years is what percent of the total sales of branch

B3 for both-the years ?

- (a) 68.54%
- (b) 71.11%
- (c) 73.17%
- (d) 75.55%
- (e) 77.26%

3.What is the average sale of all the branches (in thousand numbers) for the year 2000 ?

- (a)73
- (b) 80
- (c) 83
- (d) 88
- (e) 95 .

4.What is the ratio of the total sales of’ branch B2 for -both years to the total sales of

branch B4 for both years ?

- (a)2:3
- (b)3:5
- (c)425
- (d)5:7
- (e)7:9

5.What percent of the average sales of branches Bl, B2 and B3 in 2001 is the average sales of branches B1, B3 and B6 in 2000 ?

- (a) 75%
- (b) 77.5%
- (c) 82.5%
- (d) 85%
- (e) 87.5%

Solutions:
Sol. 1. (d) : Total sales of branches B1, B3 and B5 for both the years (in thousand numbers) = (80 + 105) + (95 + 110) + (75+ 95) = 560.

Sol. 2. (c) : Required Percentage = [{(70+80)/(95+110)} *100]% = 73.17%.

Sol.3. (b) : Average sales of all the ,six branches (in thousand numbers) for the year 2000 = (1/6)*[80+ 75 +95 + 85+ 75 + 70] = 80.

Sol.4.(e) : Required [(75+65)/(85+95)]=7/9

Sol.5.(e): Average sales (in thousand numbers) of branches B1, B3 and B6 in 2000

=(1/3)*(8O+95+7O)=245/3

Average sales (in thousand numbers) of branches B1, B2 and B3 in 2001

(1/3)*(105+65+110) =280/3

Required Percentage =[(245/3)/(280/3)]*100% = 87.5%

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