# Questions tagged [average]

Averages summarise a set of values in one way or another. Without further qualification it most commonly refers to the arithmetic mean, but other averages such as root-mean-square exist.

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### different types of averages and converting them to work with functions.

I've been thinking about different ways to average a set of numbers the two that I know are the geometric mean and the arithmetic mean I thought of a knew type of Mean. where instead of adding or ...
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### average on different quantity [duplicate]

Note: please English is not my first and here I saw people use hard words I can not understand. please consider simple words, thank you. If I bought an item 3 times at different prices. the average ...
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### Average Value for non-differentiable function?

Surprisingly, I could find no answers for this on either YouTube or the internet. I'm looking for the average rate of change on the interval $[-1,3]$ of the function: $$f(t)=6t^2+\frac{4}{t^2}$$ Now, ...
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### Average distance between a point and the center of a unit square (Why my answer is wrong?)

This question is from the MIT OCW course on Multivariable Calculus, and that particular question has been answered in this forum before. What I'd like to know is where is the mistake in my attempt to ...
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### weighted average vs normal average - I'm suddenly confused!

If I have a list of numbers like: 50, 30, 20 Isn't average = weighted average? The answers seem to be the same.. Also, for weighted average, what are the weights in this example? is it all 1? Please ...
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### Average distance between points

If there were a square field that is $x$ km wide and long, and there are $y$ objects in the field, is there a way to calculate the average distance between each object? I tried $\frac{x}{\sqrt{y}}$, ...
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### $\sum_{i=1}^{10} x_i =5$, and $\sum_{i=1}^{10} x_i^2 =6.1$ ; Find the largest value of these ten numbers [closed]

Ten non-negative numbers are such that $\sum_{i=1}^{10} x_i =5$, and $\sum_{i=1}^{10} x_i^2 =6.1$. What is the greatest value of the largest of these numbers? It presents a lot of confusion to ...
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### Average of middle number [closed]

I was doing a question on average and the question was that - If the average of 1st 12 number is 10.8, average of 1st 6 number is 10.4 and the last 6 number is 11.5. Find the 6th number. Now according ...
I am reading a physics paper dealing with a random fluctuation $R(t)$ satisfying: $\langle R(t)\rangle = 0$. $\langle R(t) R(t')\rangle = \delta(t - t')$ where $\delta$ is the Dirac-delta function ...
If shoppers enter a store at an average rate of $r$ shoppers per minute and each stays in the store for average time of $T$ minutes, the average number of shoppers in the store, $N$, at any one time ...