Data Interpretation - Table Charts - Discussion

A school has four sections A, B, C, D of Class IX students.

The results of half yearly and annual examinations are shown in the table given below.

Result No. of Students
Section A Section B Section C Section D
Students failed in both Exams28231727
Students failed in half-yearly
but passed in Annual Exams
1412813
Students passed in half-yearly
but failed in Annual Exams
617915
Students passed in both Exams64554676

5. 

Which section has the minimum failure rate in half yearly examination?

[A]. A section
[B]. B section
[C]. C section
[D]. D section

Answer: Option D

Explanation:

Total number of failures in half-yearly exams in a section

= [ (Number of students failed in both exams)

        + (Number of students failed in half-yearly but passed in Annual exams)

   ] in that section

Therefore Failure rate in half-yearly exams in Section A

    = [ Number of students of Section A failed in half-yearly x 100 ] %
Total number of students in Section A

    = [ (28 + 14) x 100 ] %
(28 + 14 + 6 + 64)

    = [ 42 x 100 ] %
112

    = 37.5%.

Similarly, failure rate in half-yearly exams in:

Section B [ (23 + 12) x 100 ] % = [ 35 x 100 ] % = 32.71%.
(23 + 12 + 17 + 55) 107

Section C [ (17 + 8) x 100 ] % = [ 25 x 100 ] % = 31.25%.
(17 + 8 + 9 + 46) 80

Section D [ (27 + 13) x 100 ] % = [ 40 x 100 ] % = 30.53%.
(27 + 13 + 15 + 76) 131

Clearly, the failure rate is minimum for Section D.


Abhishek said: (Jan 31, 2013)  
It can also be done by calculating the max success rate in mid term exams. Right ? it gives the same final answer. Section D will has the highest in mid term. Hence minimum failure. Please let me know.

Waseem said: (Aug 12, 2015)  
Here the minimum failure rate should be calculated on the basis of (Students passed in both Exams-Students failed in half-yearly=100-76=24).

Shadab Akhtar said: (May 5, 2016)  
By seeing the graph only you can calculate the section which has a minimum failure rate in half yearly examination.

See the result of students passed in half yearly exam, clearly it showing that section D has maximum no. of students who have passed the exam i.e 15 which means minimum no. of students failed from this section.

Joseph Mathew said: (May 15, 2018)  
I think it isn't required to add the number of failures in half-yearly and number of failures in both the exams.

Taking only the number of failures in half-yearly in consideration can be a simple method.

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