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Directions: Select all the answer choices that apply.
Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?
Indicate all such numbers.
- a)2
- b)5
- c)10
- d)14
- e)16
Correct answer is option 'C,D,E'. Can you explain this answer?
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Most Upvoted Answer
Directions: Select all the answer choices that apply.Q. The distributi...
Mean and Standard Deviation
The given problem states that the distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. This means that the average number of hours studied by the students is 12, and the spread of the data is such that most of the values lie within 3 hours of the mean.
Within 2 Standard Deviations
To determine which numbers of hours are within 2 standard deviations of the mean of the distribution, we need to consider the range of values that fall within this range. Since the standard deviation is 3 hours, 2 standard deviations would be equal to 2 times 3, which is 6 hours.
Calculating the Range
To find the range of values that are within 2 standard deviations of the mean, we can subtract and add 6 hours to the mean value of 12 hours.
Lower Limit: 12 - 6 = 6 hours
Upper Limit: 12 + 6 = 18 hours
Identifying the Numbers
Now we can compare the given numbers of hours to the range we calculated above to determine which ones fall within 2 standard deviations of the mean.
a) 2: This number is not within the range of 6 to 18 hours.
b) 5: This number is not within the range of 6 to 18 hours.
c) 10: This number is within the range of 6 to 18 hours.
d) 14: This number is within the range of 6 to 18 hours.
e) 16: This number is within the range of 6 to 18 hours.
Conclusion
Based on the calculations and comparisons above, the numbers of hours that are within 2 standard deviations of the mean of the distribution are 10, 14, and 16. Therefore, the correct answer choices are C, D, and E.
The given problem states that the distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. This means that the average number of hours studied by the students is 12, and the spread of the data is such that most of the values lie within 3 hours of the mean.
Within 2 Standard Deviations
To determine which numbers of hours are within 2 standard deviations of the mean of the distribution, we need to consider the range of values that fall within this range. Since the standard deviation is 3 hours, 2 standard deviations would be equal to 2 times 3, which is 6 hours.
Calculating the Range
To find the range of values that are within 2 standard deviations of the mean, we can subtract and add 6 hours to the mean value of 12 hours.
Lower Limit: 12 - 6 = 6 hours
Upper Limit: 12 + 6 = 18 hours
Identifying the Numbers
Now we can compare the given numbers of hours to the range we calculated above to determine which ones fall within 2 standard deviations of the mean.
a) 2: This number is not within the range of 6 to 18 hours.
b) 5: This number is not within the range of 6 to 18 hours.
c) 10: This number is within the range of 6 to 18 hours.
d) 14: This number is within the range of 6 to 18 hours.
e) 16: This number is within the range of 6 to 18 hours.
Conclusion
Based on the calculations and comparisons above, the numbers of hours that are within 2 standard deviations of the mean of the distribution are 10, 14, and 16. Therefore, the correct answer choices are C, D, and E.
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Community Answer
Directions: Select all the answer choices that apply.Q. The distributi...
The standard deviation is a measure of how spread out numbers are. In this case, 2 standard deviations would be 2*3 = 6 hours. This means that any number of hours within 6 hours above or below the mean (12 hours) are within 2 standard deviations of the mean. So, we can calculate the range: 12 - 6 = 6 hours and 12 + 6 = 18 hours. Any number of hours that falls within this range (6 to 18 hours) is within 2 standard deviations of the mean.
From the given options, these are the numbers of hours that fall within this range:
C. 10
D. 14
E. 16
D. 14
E. 16
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Directions: Select all the answer choices that apply.Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?Indicate all such numbers.a)2b)5c)10d)14e)16Correct answer is option 'C,D,E'. Can you explain this answer?
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Directions: Select all the answer choices that apply.Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?Indicate all such numbers.a)2b)5c)10d)14e)16Correct answer is option 'C,D,E'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select all the answer choices that apply.Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?Indicate all such numbers.a)2b)5c)10d)14e)16Correct answer is option 'C,D,E'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select all the answer choices that apply.Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?Indicate all such numbers.a)2b)5c)10d)14e)16Correct answer is option 'C,D,E'. Can you explain this answer?.
Directions: Select all the answer choices that apply.Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?Indicate all such numbers.a)2b)5c)10d)14e)16Correct answer is option 'C,D,E'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select all the answer choices that apply.Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?Indicate all such numbers.a)2b)5c)10d)14e)16Correct answer is option 'C,D,E'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select all the answer choices that apply.Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?Indicate all such numbers.a)2b)5c)10d)14e)16Correct answer is option 'C,D,E'. Can you explain this answer?.
Solutions for Directions: Select all the answer choices that apply.Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?Indicate all such numbers.a)2b)5c)10d)14e)16Correct answer is option 'C,D,E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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