# 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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### How do the Averages Work?

I am trying to figure out the average items sold per customer for the year 2019 I have multiple customers per day, who each have a random number of items. Sometimes a customer makes more than one ...
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### How to do complex weighted average math [duplicate]

Hello I tried to ask this question but it was closed. I didn't understand why nether where should I put this question ? I still believe it is a math problem but please advise if there any other place ...
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### Claims on insurance average? [closed]

I can't calculate this example: can somebody please help me out? For an insurance, it is important to evaluate how many claims per insured person occur. Experience has shown that in recent years 80% ...
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### Finding average from uniformly distributed values

Let's say, I am sending network packets at the rate of 450 packets per second. The size of these packets is uniformly distributed between 100 to 500 bytes. I want to know what's the average packet ...
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### Mean of fractions or fraction of means? When to use mediant and when to use mean? [duplicate]

When would we use the mediant? Clarifying the problem: I was working on some numbers. De data had duration of a job, the number of steps to complete a job and the starting date of a job. All rows had ...
285 views

### Analyzing a definition of average which uses a variation of the Lebesgue integral and measure [closed]

Edit: Why was my post downvoted. Please explain how I can improve my post. Second Edit: I changed my Post Introduction Consider $f:A\to[a,b]$ where $A\subseteq[a,b]$ and $S\subseteq A$. I want to ...
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### compute cumulative average

I have below table which i compute the average in the end of the month. ...
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### Find median of a combination of tables.

Values in List $P$ are distinct from values in List $Q$. List $R$ consists of all the values in list $P$ and all the values in list $Q$. Find the median of list $R$. My logic: Here the total number ...
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### Interpreting the Weighted Pinball Loss

I am participating in a Kaggle competition and came across the Weighted Pinball Loss function for the first time and I don't quite understand it. Here is a screen shot of the definition provided by ...
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### How do I calculate average? and What does per 100 word mean?

- 295 letter(s) - 70 word(s) - 3 sentence(s) How do I calculate ? Average number of letters per 100 words. Average number of sentences per 100 words. I know ...
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### A variant of Jensen inequality when the function is not everywhere convex

Let $F:(0,\infty) \to [0,\infty)$ be a $C^1$ function satisfying $F(1)=0$, which is strictly increasing on $[1,\infty)$, and strictly decreasing on $(0,1]$. Suppose also that $F$ is convex on $(0,1]$...
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### How do prove this integral, defined on a countable set with infinite limit points, converges to zero?

Consider a continuous $f:A\to[0,1]$ where $A\subseteq[0,1]$. Edit: I did not use @Mathworker21's answer because I assumed it would not give the result I am looking for. Now I change my mind. Here is ...
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### What is the average value of x? [closed]

I came up with this math script x=0; x+=Ran#ⁿ, n=0…1000000000 Ran# is a random number generator that returns a uniform random real number from 0 (inclusive) to 1 (exclusive) ⁿ is to take the random ...
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### Measuring average time

I have a dataset of times (time to execute a task) and I'm now interested in calculating the average time. I might just be mixing stuff up and doing it more complicated than it is but.. The time's ...
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### weighted average with strictly positive weights

This is a terminological question: say $y$ is a weighted average of $x_1, \dots, x_n$ if $y=\sum_i w_i x_i$ for some set of weights $0\leq w_1, \dots, w_n\leq 1$ with $\sum_i w_i=1$. I am curious if ...
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### The Jensen gap $\mathbb{E}[|\overline X|] - |\mu|$

Let $X_1, X_2, \dots, X_n$ be a sequence of i.i.d. random variables with finite mean $\mu$ and variance $\sigma^2$. Let $\overline X = \frac{1}{n}\sum_{i=1}^n X_i$ denote the sample average. I ...
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### Dividing largest eigenvalue of distance matrix by number of coordinates

I am working with a set of vectors and I constructed a matrix that shows all pairwise Euclidean distances between them. Thus this distance matrix has zeros along the main diagonal. Part of the project ...
I have a data set containing both positive and negative numbers. Say, for example the following $10$ values: 11, 45, 68, -18, 29, 22, -8, -12, 54, 33 I have to ...