Mathematics Stack Exchange
Mathematics Stack Exchange

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.

In its most general definition, an average is a summary of a set of values. Normally it refers to the arithmetic mean, but other means may be employed (geometric, harmonic, etc.) or a transformation may be applied before and after taking a mean (e.g. root-mean-square).

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Averaging with a tolerance

I'm having some issues with trying to average some values. Lets say (for this example) that earthquakes are measured on a scale of 1-6. No earthquake can be stronger than a 6 and you want to calculate on average strength of the earthquakes in one…
Limbo
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Why is the average of the whole different to the average of the sum of the parts?

I'm a complete idiot when it comes to mathematics, so please bear with me. I have a problem. The average of the whole is different to the average of the sum of the parts. Why aren't they identical? Here are the numbers: Item A Bought: 233.4 Sold:…
The Yellow Jester
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Cumulative average of an average

I am trying to do a calculation for a stochastic oscillator on a series of stock prices in a database (SQL Server 2014). The calculation I am trying to do is as follows: Work out the lowest low for the last 14 periods (including the current…
Liam
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Why average until $n-1 \times n \simeq \sum^{n-1} + avg_{n-1}$?

I'm newbie in math and I want to understand it: let $A = \{a_1,...,a_n\}$ why $$(\frac{1}{n-1}\sum_{i=1}^{n-1}a_i)n \simeq (\sum_{i=1}^{n-1}a_i)+ (\frac{1}{n-1}\sum_{i=1}^{n-1}a_i)$$ Exists any theorem to help me to understand the average field in…
lucasoliveira
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Confusion (Averages)

I'm getting insanely frustrated with this. The average of $6$ numbers is $4$. A seventh number is added and the new average is $5$. What is the seventh number? How do I solve this algebraically? $6 \cdot 4 = 24$. $\dfrac{24 + x}{7} = 5$ Why am I…
John
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Equation for the average of a known quantity of numbers

How would one express this in the form of an equation? The average of 500 numbers, each of which are between 2 and 50, is 7.5 And can it be graphed?
acr015
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Incremental averaging (different case)

I've seen the integer version $$m_n = m_{n-1} + \frac{a_n-m_{n-1}}{n}.$$ But how do I calculate it where there are amounts, which is $$A=[3, 5, 4]$$ and the corresponding quantities $$Q=[1.5, 2.5, 1]$$ Below version doesn't work, I'm doing it like…
Dulguun Otgon
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How can I understand a formula written in this format. I am a beginner.

$$\bar{l}(\mathcal{P},\mathcal{L}) = \sum_{j=1}^n p_j l_j$$ I have just started studying this module and it describes the equation as the the average length of the code. Can you please break down what each part of the equation means? I am a beginner…
Usman
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Finding how many people rated

How would I find the number of people who rated a product by knowing that everyone rated $5$ stars and when I entered a rating of $1$ the average rating went down to $4.5$. Is there a way to find out how many people rated? I could do it manually…
Morel
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What is the best way to weigh multiple five-star ratings based on a signed integer from -1 to 1?

I have a certain amount of tuples, which contain a signed integer (between -1 and 1) and a five-star rating (where the higher the signed integer is, the more important the rating is). I want to get an "average" rating, and beforehand I would just…
Simayy
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Simple question about averages

I have got feedback from a survey where the range is 1-10, where: 10 = 0 total 9 = 0 total 8 = 0 total 7 = 3 total 6 = 5 total 5 = 2 total 4 = 3 total 3 = 1 total 2 = 0 total 1 = 0 total I would like to work out the average from the range, how can…
bobo2000
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How to determine the ranges if I want to divide a data set into N segments taking the average/frequency into account?

I have a data set of floating numbers such as follows: [0.01053, 0.00444, 0.00957, 0.04564, 0.00709, 0.01338, 0.02857, 0.02593, 0.01056, 0.05366, 0.02252, 0.0237, 0.01288, 0.02905, 0.0119, 0.04911, 0.01761, 0.02105, 0.01859, …
chell
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How to count average for most numbers excluding very big numbers?

I have such values: Video №1 = 277811 views = 2.4915% Video №2 = 980423 views = 8.7927% Video №3 = 33940 views = 0.3044% Video №4 = 177805 views = 1.5946% Video №5 = 71010 views = 0.6368% Video №6 = 224101 views = 2.0098% Video №7 = 64721 views =…
kostya572
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Average with sum of values equal to number of values

I have a list of numbers. Each number can be any amount above 0 but under 1 million. There are 1 million numbers. The numbers add up to 1 million. Is it possible to calculate an average (Mean)? Normally calculating the mean does not work as 1…
Neztore
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How can I get the average angle from a set of three points?

Please forgive me, but I'm not mathematically inclined and i'm trying to solve a problem for a video game i'm developing. My levels are composed of vector shapes and i want to find out what the average angle given three points. Please see this image…
gabrielcrowe
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