Data Interpretation - Bar Charts

A soft drink company prepares drinks of three different flavours - X, Y and Z. The production of three flavours over a period of six years has been expressed in the bar graph provided below.

Production of Three Different Flavours X, Y and Z by a Company over the years (in lakh bottles)

1. 

The total production of flovour Z in 1997 and 1998 is what percentage of the total production of flavour X in 1995 and 1996?

A. 96.67%
B. 102.25%
C. 115.57%
D. 133.33%

Answer: Option D

Explanation:

Required percentage
= [ (60 + 60) x 100 ] %
(50 + 40)
= [ 120 x 100 ] %
90
= 133.33%.


2. 

For which flavour was the average annual production maximum in the given period?

A. X only
B. Y only
C. Z only
D. X and Y

Answer: Option B

Explanation:

Average annual productions over the given period for various flavours are:

For Flavour X = [ 1 x (50 + 40 + 55 + 45 + 60 + 50) ] = 50 lakh bottles.
6

For Flavour Y = [ 1 x (55 + 60 + 50 + 55 + 50 + 55) ] = 54.17 lakh bottles.
6

For Flavour Z = [ 1 x (45 + 50 + 60 + 60 + 45 + 40) ] = 50 lakh bottles.
6

Therefore Maximum average production is for Flavour Y.


3. 

What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of flavour Y in 1998, 1999 and 2000?

A. 50,000 bottles
B. 80,000 bottles
C. 2,40,000 bottles
D. 5,00,000 bottles

Answer: Option D

Explanation:

Average production of flavour X in 1995, 1996 and 1997

    = [ 1 x (50 + 40 + 55) ]
3

    = ( 145 ) lakh bottles.
3

Average production of flavour Y in 1998, 1999 and 2000

    = [ 1 x (55 + 50 + 55) ]
3

    = ( 160 ) lakh bottles.
3

Therefore Difference
= ( 160 - 145 )
3 3
= 15
3
= 5 lakh bottles
= 5,00,000 bottles.


4. 

What was the approximate decline in the production of flavour Z in 2000 as compared to the production in 1998?

A. 50%
B. 42%
C. 33%
D. 25%

Answer: Option C

Explanation:

Percentage decline in the production of flavour Z in 2000 as compared to the production in 1998

    = [ (60 - 40) x 100 ] %
60

    = ( 20 x 100 ) %
60

    = 33.33%

    ~= 33%.


5. 

For which of the following years the percentage of rise/fall in production from the previous year is the maximum for the flavour Y?

A. 1996
B. 1997
C. 1998
D. 1999

Answer: Option B

Explanation:

The percentage rise/fall in production from the previous year for flavour Y during various years are:

In 1996 = [ (60 - 55) x 100 ] % = 9.09% (increase)
55

In 1997 = [ (60 - 50) x 100 ] % = 16.67% (decrease)
60

In 1998 = [ (55 - 50) x 100 ] % = 10% (increase)
55

In 1999 = [ (55 - 50) x 100 ] % = 9.09% (decrease)
55

In 2000 = [ (55 - 50) x 100 ] % = 10% (increase)
50

Therefore Maximum change is decrease of 16.67% during 1997.