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Question

Study the table and answer the following questions based on it.

The following table gives the percentage of marks obtained by 7 students in 5 different subjects in an examination. (The maximum marks in a subject is 100.)

Sub 1Sub 2Sub 3Sub 4Sub 5
Student 14045556570
Student 26070756560
Student 37074646872
Student 45075576562
Student 56166725860
Student 67065685678
Student 76545705258

Find out the percentage of students having equal or more than 60% in every subject.

The correct answer is

28.57

Let's analyze the provided table which shows the percentage of marks obtained by 7 students across 5 different subjects. The maximum marks for each subject is 100, so the marks directly represent the percentage.

The question asks us to find the percentage of students who scored equal to or more than 60% in every subject. This means a student must have obtained marks of 60 or higher in Subject 1 AND Subject 2 AND Subject 3 AND Subject 4 AND Subject 5 to be included in our count.

Sub 1 Sub 2 Sub 3 Sub 4 Sub 5
Student 1 40 45 55 65 70
Student 2 60 70 75 65 60
Student 3 70 74 64 68 72
Student 4 50 75 57 65 62
Student 5 61 66 72 58 60
Student 6 70 65 68 56 78
Student 7 65 45 70 52 58

Step-by-Step Analysis of Student Performance

Let's go through each student one by one and check if they meet the condition of scoring 60% or more in all five subjects.

  • Student 1: Marks are 40, 45, 55, 65, 70. Subject 1 (40), Subject 2 (45), and Subject 3 (55) are less than 60. So, Student 1 does not meet the criteria.
  • Student 2: Marks are 60, 70, 75, 65, 60. All marks (60, 70, 75, 65, 60) are equal to or greater than 60. So, Student 2 meets the criteria.
  • Student 3: Marks are 70, 74, 64, 68, 72. All marks (70, 74, 64, 68, 72) are equal to or greater than 60. So, Student 3 meets the criteria.
  • Student 4: Marks are 50, 75, 57, 65, 62. Subject 1 (50) and Subject 3 (57) are less than 60. So, Student 4 does not meet the criteria.
  • Student 5: Marks are 61, 66, 72, 58, 60. Subject 4 (58) is less than 60. So, Student 5 does not meet the criteria.
  • Student 6: Marks are 70, 65, 68, 56, 78. Subject 4 (56) is less than 60. So, Student 6 does not meet the criteria.
  • Student 7: Marks are 65, 45, 70, 52, 58. Subject 2 (45), Subject 4 (52), and Subject 5 (58) are less than 60. So, Student 7 does not meet the criteria.

Counting Students Meeting the Percentage Criteria

Based on the analysis above, the students who scored 60% or more in every subject are:

  • Student 2
  • Student 3

Thus, a total of 2 students meet the required percentage criteria.

Calculating the Percentage of Students

We need to find the percentage of these students out of the total number of students. There are 7 students in total.

The number of students who scored $\ge 60\%$ in every subject is 2.

The total number of students is 7.

The percentage is calculated using the formula:

$\text{Percentage} = \left( \frac{\text{Number of students meeting criteria}}{\text{Total number of students}} \right) \times 100$

Substituting the values:

$\text{Percentage} = \left( \frac{2}{7} \right) \times 100$

$\text{Percentage} \approx 0.285714 \times 100$

$\text{Percentage} \approx 28.57\%$

Final Answer Calculation

The percentage of students having equal or more than 60% in every subject is approximately 28.57%.

Revision Table: Student Performance Summary

Here is a summary showing whether each student met the criteria:

Student Scores $\ge 60\%$ in Every Subject?
Student 1 No
Student 2 Yes
Student 3 Yes
Student 4 No
Student 5 No
Student 6 No
Student 7 No

Additional Information: Analyzing Percentage Data

Analyzing percentage data in tables is a common task in data interpretation. When asked for a percentage of entities (like students) meeting specific criteria across multiple categories (like subjects), it's important to check if the criteria must be met in ALL categories or just ANY category. In this case, the key phrase "in every subject" means the condition ($\ge 60\%$) must hold true for all 5 subjects simultaneously for a student to be counted.

Calculations involving percentages from tables often require:

  • Identifying the total population (total students).
  • Identifying the subset of the population that meets the specific condition.
  • Using the percentage formula: $\frac{\text{Part}}{\text{Whole}} \times 100$.
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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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