Is there a difference between mean speed and average speed ?

In summary: It's probably one of those things that only really matters when you're doing a calculation and have to be very precise. Thanks for pointing that out!In summary, there is no difference between mean speed and average speed. The words are often used interchangeably, but there can be some technical distinctions depending on the situation. In some cases, "mean velocity" may refer to the average velocity in a situation with constant acceleration, while "average velocity" refers to the total distance traveled over time. However, in most cases, these terms can be used interchangeably without any significant difference.
  • #1
mahela007
106
0
Is there a difference between "mean speed " and "average speed"?

Is there a difference between mean speed and average speed? The words "mean" and "average" seem to mean the same thing.
 
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  • #2


The words are the same.
 
  • #3


You may be thinking of "median" which is different. Assuming a "sample" rate based on time, over some fixed time interval, it woudl be the speed at which 1/2 the time in the interval was spent below or at the speed and the other have above or at the speed. Median is more useful in statitics where the samples are discrete and not continuous.
 
  • #4


Jeff Reid said:
You may be thinking of "median" which is different. Assuming a "sample" rate based on time, over some fixed time interval, it woudl be the speed at which 1/2 the time in the interval was spent below or at the speed and the other have above or at the speed. Median is more useful in statitics where the samples are discrete and not continuous.

That seems to be the case.
I was told that mean speed is (v+u)/2 (v is final velocity and u is initial)
while average speed is simply distance/time
 
  • #5


mahela007 said:
That seems to be the case.
I was told that mean speed is (v+u)/2 (v is final velocity and u is initial)
while average speed is simply distance/time

That's correct, but there's no distinction to be made between mean and average. I thought mean is chiefly used in British, and average in American English.
 
  • #6


Thats some good observation on your part, I never noticed that Americans tend to use avg. and Brits use mean. I just read avg and mean as one and the same.

I suppose its technically less ambiguous to use mean. in reality everyone knows what you are on about anyway

"Take the average speed"
"Erm which average? mean median or mode"
 
  • #7


Er... hello?

If "mean velocity" is defined as (v+u)/2, while average velocity is the total distanced traveled over time, then they are NOT identical, and it is no longer simply "Americans versus British" usage!

The definition of "mean velocity" is very strange, unless it is for a very specific situation of a uniform, constant acceleration. I would tend to go with Russ and say that they are the same thing, and that this "definition" here needs to be looked at more carefully to see if it is valid.

Zz.
 
  • #8


ZapperZ said:
Er... hello?

If "mean velocity" is defined as (v+u)/2, while average velocity is the total distanced traveled over time, then they are NOT identical.
I don't think they are... but I'm not a native speaker so I might be wrong. In my language we use the same word for both.
 
  • #9


mahela007 said:
I was told that mean speed is (v+u)/2 (v is final velocity and u is initial) while average speed is simply distance/time
The "mean" usage is probably assuming constant acceleration, and in that case it's equal to distance over time.

There's also "mean" as in "mean value theorem", where the mean point is the point at which the tangent to the curve has the same slope as the slope from start point to end point. In the case of constant acceleration, velocity versus time is a straight line, and the mean value could be any point on the line, so it doesn't mean much in that case (I know bad pun).
 
  • #10


ZapperZ said:
The definition of "mean velocity" is very strange, unless it is for a very specific situation of a uniform, constant acceleration. I would tend to go with Russ and say that they are the same thing, and that this "definition" here needs to be looked at more carefully to see if it is valid.

Zz.
Good point. I've always used them interchangably without a second thought about the situation.
 

1. What is the difference between mean speed and average speed?

Mean speed and average speed are often used interchangeably, but technically they are not the same. Mean speed refers to the average speed of all objects in a given set, while average speed refers to the total distance traveled divided by the total time taken. In other words, mean speed takes into account the speed of each individual object, while average speed is more of an overall measure.

2. Which one is a better measure of speed?

It depends on what you are trying to measure. Mean speed is more useful when analyzing the speeds of multiple objects, such as in a race or traffic flow. Average speed, on the other hand, is better for measuring the overall efficiency of travel, such as in a road trip or commute.

3. Is there a difference in how mean speed and average speed are calculated?

As mentioned earlier, mean speed takes into account the individual speeds of each object in a set, while average speed is calculated by dividing the total distance traveled by the total time taken. So yes, there is a difference in how these two measures are calculated.

4. Can mean speed and average speed ever be the same?

Yes, in certain scenarios, mean speed and average speed can be the same. This happens when all objects in a set are traveling at the same speed. In this case, the mean speed and average speed will be equal to that speed.

5. Is one measure more accurate than the other?

Again, it depends on the context. Mean speed is more accurate in situations where individual speeds are important, while average speed is more accurate in situations where overall efficiency is the main focus. Both measures have their uses and should be chosen based on the specific needs of the analysis.

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