Mathematics Exam > Mathematics Questions > The mean height of 500 students is 151 cm and...
Start Learning for Free
The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?
- a)291
- b)292
- c)294
- d)296
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The mean height of 500 students is 151 cm and the standard deviation i...
Most Upvoted Answer
The mean height of 500 students is 151 cm and the standard deviation i...
Free Test
FREE
| Start Free Test |
Community Answer
The mean height of 500 students is 151 cm and the standard deviation i...
To find how many students fall within a certain range of heights, we can use the concept of standard deviation.
First, we need to determine the number of standard deviations away from the mean the desired range is. Let's say we want to find the number of students within one standard deviation above and below the mean. Since the standard deviation is 15 cm, one standard deviation is also 15 cm.
To find the number of students within one standard deviation of the mean, we can use the empirical rule, also known as the 68-95-99.7 rule. According to this rule, approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.
So, the number of students within one standard deviation of the mean is approximately 68% of 500 students:
0.68 * 500 = 340 students
Therefore, approximately 340 students fall within one standard deviation of the mean height.
First, we need to determine the number of standard deviations away from the mean the desired range is. Let's say we want to find the number of students within one standard deviation above and below the mean. Since the standard deviation is 15 cm, one standard deviation is also 15 cm.
To find the number of students within one standard deviation of the mean, we can use the empirical rule, also known as the 68-95-99.7 rule. According to this rule, approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.
So, the number of students within one standard deviation of the mean is approximately 68% of 500 students:
0.68 * 500 = 340 students
Therefore, approximately 340 students fall within one standard deviation of the mean height.
|
Explore Courses for Mathematics exam
|
|
Similar Mathematics Doubts
The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer?
Question Description
The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer?.
The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer?.
Solutions for The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?a)291b)292c)294d)296Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Mathematics tests.
|
|
Explore Courses for Mathematics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup