# Data Interpretation - Table Charts - Discussion

### Discussion :: Table Charts - Table Chart 7 (Q.No.5)

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 Exams 28 23 17 27 Students failed in half-yearlybut passed in Annual Exams 14 12 8 13 Students passed in half-yearlybut failed in Annual Exams 6 17 9 15 Students passed in both Exams 64 55 46 76

5.

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

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

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 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.

 Vidya said: (May 12, 2021) Option C is the correct answer.