Data Interpretation

Line Chart - 6

Data Interpretation Exercise Mode

Line Chart - 6

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5 Questions
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Directions to Solve

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.

Question 1
The ratio of the least number of students who joined the school to the maximum number of students who left the school in any of the years during the given period is?

A
7 : 9
B
4 : 5
C
3 : 4
D
9 : 11
E
2 : 3
Correct Answer: Option E

Required ratio =300=2.
4503
Question 2
The number of students studying in the school during 1999 was?

A
2950
B
3000
C
3100
D
3150
E
3200
Correct Answer: Option D

As calculated above, the number of students studying in the school during 1999
= 3150

Question 3
The strength of school increased/decreased from 1997 to 1998 by approximately what percent?

A
1.2%
B
1.7%
C
2.1%
D
2.4%
E
2.6%
Correct Answer: Option

Before solving the questions, we shall analyse the graph :

From the graph it is clear that :

In 1996 : Number of students left = 250 and number of students joined = 350.

In 1997 : Number of students left = 450 and number of students joined = 300.

In 1998 : Number of students left = 400 and number of students joined = 450.

In 1999 : Number of students left = 350 and number of students joined = 500.

In 2000 : Number of students left = 450 and number of students joined = 400.

In 2001 : Number of students left = 450 and number of students joined = 550.

Therefore, the numbers of students studying in the school (i.e., strength of the school) in various years:

In 1995 = 3000 (given).

In 1996 = 3000 - 250 + 350 = 3100.

In 1997 = 3100 - 450 + 300 = 2950.

In 1998 = 2950 - 400 + 450 = 3000.

In 1999 = 3000 - 350 + 500 = 3150.

In 2000 = 3150 - 450 + 400 = 3100.

In 2001 = 3100 - 450 + 550 = 3200.

Percentage increase in the strength of the school from 1997 to 1998

    =[(3000 - 2950)x 100]% = 1.69%   => 1.7%.
2950


Question 4
The number of students studying in the school in 1998 was what percent of the number of students studying in the school in 2001?

A
92.13%
B
93.75%
C
96.88%
D
97.25%
E
99%
Correct Answer: Option B

Required percentage =(3000x 100)% 
3200

= 93.75%
Question 5
For which year, the percentage rise/fall in the number of students who left the school compared to the previous year is maximum?

A
1997
B
1998
C
1999
D
2000
E
2001
Correct Answer: Option A

The percentage rise/fall in the number of students who left the school (compared to the previous year) during various years are:

For 1997 =[(450 - 250)x 100]% = 80% (rise).
250

For 1998 =[(450 - 400)x 100]% = 11.11% (fall).
450

For 1999 =[(400 - 350)x 100]% = 12.5% (fall).
400

For 2000 =[(450 - 350)x 100]% = 28.57% (rise).
350

For 2001 =[(450 - 450)x 100]% = 0%.
450

Clearly, the maximum percentage rise/fall is for 1997.