CA Foundation Exam  >  CA Foundation Questions  >  There are 75 questions in a class and their a... Start Learning for Free
There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks?
Most Upvoted Answer
There are 75 questions in a class and their average marks are 50 and s...
Given Information:
- Total number of questions in the class: 75
- Average marks of the students: 50
- Standard deviation of marks: 5

Calculating the number of students who secured more than 60 marks:
To calculate the number of students who secured more than 60 marks, we need to find the percentage of students who scored more than 60 marks and then multiply it by the total number of students.

Step 1: Finding the z-score:
The z-score measures how many standard deviations an individual data point is from the mean. In this case, we can calculate the z-score for 60 marks as follows:

z = (x - μ) / σ

Where:
- x = 60 (marks)
- μ = 50 (average marks)
- σ = 5 (standard deviation)

Substituting the values, we get:

z = (60 - 50) / 5
z = 2

Step 2: Finding the percentage of students:
To find the percentage of students who scored more than 60 marks, we need to find the area under the normal distribution curve to the right of the z-score of 2. We can use a standard normal distribution table or a calculator to find this probability.

According to the standard normal distribution table, the area to the left of a z-score of 2 is approximately 0.9772. Therefore, the area to the right of 2 is 1 - 0.9772 = 0.0228 or 2.28%.

Step 3: Calculating the number of students:
To calculate the number of students who secured more than 60 marks, we multiply the percentage (2.28%) by the total number of students (75).

Number of students = 0.0228 * 75
Number of students = 1.71

Conclusion:
Approximately 1.71 students have secured more than 60 marks in the class. Since we cannot have a fraction of a student, we can round up the number to the nearest whole number. Therefore, we can conclude that 2 students have secured more than 60 marks.
Explore Courses for CA Foundation exam

Similar CA Foundation Doubts

There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks?
Question Description
There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks?.
Solutions for There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks? defined & explained in the simplest way possible. Besides giving the explanation of There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks?, a detailed solution for There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks? has been provided alongside types of There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks? theory, EduRev gives you an ample number of questions to practice There are 75 questions in a class and their average marks are 50 and standard deviation of marks is 5. how many students have secured more than 60 marks? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev