Table charts are precise tools for interpreting data, providing customers with welldefined and fixed information. They offer exact and accurate answers to questions, ensuring clarity in data presentation.
Incorporating mathematical formulas enhances the effectiveness of table charts. Here are various ways to employ formulas within table charts:
Key Points
Example: Formulas serve as the fundamental element for proficient data analysis and visualization in table charts. Through the utilization of mathematical calculations, you have the capability to convert your table charts into dynamic instruments for informed decisionmaking based on data. Whether dealing with financial figures, scientific data, or any other dataset, the adept application of formulas is essential for realizing the complete potential of table charts.
Example 1: Army Public School, Shankar Vihar has four sections A, B, C, D of Class XI students.
If the number of students passing an examination be considered a criterion for comparison of the difficulty level of two examinations, which of the following statements is true in this context?
(a) Halfyearly examinations were more difficult.
(b) Annual examinations were more difficult.
(c) Both the examinations had almost the same difficulty level.
(d) The two examinations cannot be compared for difficulty level.
Ans: (c)
Number of students who passed halfyearly exams in the school
= (Number of students passed in halfyearly but failed in annual exams) + (Number of students passed in both exams)
= (6 + 17 + 9 + 15) + (64 + 55 + 46 + 76) = 288.
Also, the Number of students who passed annual exams in the school
= (Number of students who failed in halfyearly but passed in annual exams) + (Number of students passed in both exams)
= (14 + 12 + 8 + 13) + (64 + 55 + 46 + 76) = 288.
Since, the number of students passed in halfyearly = the number of students passed in annual exams. Therefore, it can be inferred that both the examinations had almost the same difficulty level. Thus Statements (a), (b), and (d) are false and Statement (c) is true.
Example 2: Army Public School, Shankar Vihar has four sections A, B, C, D of Class XI students.
How many students are there in Class IX in the school?
(a) 336
(b) 189
(c) 335
(d) 430
Ans: (d)
Since the classification of the students on the basis of their results and sections form independent groups, so the total number of students in the class:
= (28 + 23 + 17 + 27 + 14 + 12 + 8 + 13 + 6 + 17 + 9 + 15 + 64 + 55 + 46 + 76)
= 430.
Example 3: Army Public School, Shankar Vihar has four sections A, B, C, D of Class XI students.
Which section has the maximum pass percentage in at least one of the two examinations?
(a) A section
(b) B section
(c) C section
(d) D section
Ans: (d)
Example 4: Army Public School, Shankar Vihar has four sections A, B, C, D of Class XI students.
Which section has the maximum success rate in the annual examination?
(a) A section
(b) B section
(c) C section
(d) D section
Ans: (a)
Total number of students passed in annual exams in a section
= [(No. of students failed in halfyearly but passed in annual exams) + (No. of students passed in both exams) ] in that section The success rate in annual exams in 14 + 64 x 100% = 69.64%
Clearly, the success rate in the annual examination is maximum for Section A.
Example 5: Army Public School, Shankar Vihar has four sections A, B, C, D of Class XI students.
Which section has the minimum failure rate in the halfyearly examination?
(a) A section
(b) B section
(c) C section
(d) D section
Ans: (d)
Total number of failures in halfyearly exams in a section [ (Number of students failed in both exams) + (Number of students failed in halfyearly but passed in Annual exams)] in that section Therefore Failure rate in halfyearly exams in
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