Mechanical Engineering Exam > Mechanical Engineering Questions > If the standard deviation of the spot speed o... Start Learning for Free
If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed is
- a)0.1517
- b)0.1867
- c)0.2666
- d)0.3645
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the standard deviation of the spot speed of vehicles in a highway i...
Most Upvoted Answer
If the standard deviation of the spot speed of vehicles in a highway i...
Given data:
Standard deviation of spot speed = 8.8 kmph
Mean speed = 33 kmph
Coefficient of variation = (Standard deviation/mean) x 100%
Calculation:
Substituting the given values in the above formula, we get:
Coefficient of variation = (8.8/33) x 100%
Coefficient of variation = 0.2666
Therefore, the coefficient of variation in speed is 0.2666 or Option C.
Explanation:
The coefficient of variation is a statistical measure that represents the relative variability of a set of data points. It is used to compare the variation of two or more sets of data that have different units or scales. In this question, we are given the standard deviation and mean speed of vehicles on a highway, and we need to calculate the coefficient of variation in speed.
The formula for calculating the coefficient of variation is the ratio of the standard deviation to the mean expressed as a percentage. The standard deviation measures the dispersion or variability of the data points around the mean, while the mean represents the central tendency of the data.
In this case, we are given that the standard deviation of the spot speed is 8.8 kmph, which means that the speed of vehicles on the highway varies by about 8.8 kmph from the mean speed. The mean speed is 33 kmph, which represents the average speed of all vehicles on the highway.
Substituting these values in the formula, we get the coefficient of variation as 0.2666, which means that the speed of vehicles on the highway varies by about 26.66% from the mean speed. This indicates that there is a significant amount of variability in the speed of vehicles on the highway, which could affect the safety and efficiency of the traffic flow.
Standard deviation of spot speed = 8.8 kmph
Mean speed = 33 kmph
Coefficient of variation = (Standard deviation/mean) x 100%
Calculation:
Substituting the given values in the above formula, we get:
Coefficient of variation = (8.8/33) x 100%
Coefficient of variation = 0.2666
Therefore, the coefficient of variation in speed is 0.2666 or Option C.
Explanation:
The coefficient of variation is a statistical measure that represents the relative variability of a set of data points. It is used to compare the variation of two or more sets of data that have different units or scales. In this question, we are given the standard deviation and mean speed of vehicles on a highway, and we need to calculate the coefficient of variation in speed.
The formula for calculating the coefficient of variation is the ratio of the standard deviation to the mean expressed as a percentage. The standard deviation measures the dispersion or variability of the data points around the mean, while the mean represents the central tendency of the data.
In this case, we are given that the standard deviation of the spot speed is 8.8 kmph, which means that the speed of vehicles on the highway varies by about 8.8 kmph from the mean speed. The mean speed is 33 kmph, which represents the average speed of all vehicles on the highway.
Substituting these values in the formula, we get the coefficient of variation as 0.2666, which means that the speed of vehicles on the highway varies by about 26.66% from the mean speed. This indicates that there is a significant amount of variability in the speed of vehicles on the highway, which could affect the safety and efficiency of the traffic flow.
 | Explore Courses for Mechanical Engineering exam |  |
Top Courses for Mechanical EngineeringView all
Top Courses for Mechanical Engineering
Question Description
If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2026 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer?.
If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2026 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer?.
Solutions for If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the standard deviation of the spot speed of vehicles in a highway is 8.8 kmph and the mean speed of the vehicles is 33 kmph, the coefficient of variation in speed isa)0.1517b)0.1867c)0.2666d)0.3645Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
| Explore Courses for Mechanical Engineering exam | |
Top Courses for Mechanical Engineering
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
