Mathematics Stack Exchange
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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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When the average will change?

I have a random number (eg 455,835). Starting from 615 downwards I would like to calculate when the two integers average changing. For example. I know that 603 and 755's average is 679. How can I calculate it with an equation that the next change…
Klorissz
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How would I calculate the weighted average including two different variables? (Categorical scoring)

Apologies if this is fairly straight forward. I'm looking to obtain a weighted average for categorical scores in a table based on two variables: 1) the number of users, 2) the number of transactions. So as an…
Pheonix
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Incremental window average

I am trying to calculate a windowed average where the newest value replaces the oldest value in a set of size 10. In this case, I have a real-time number stream and have access to current value, current average and the previous value. Is there any…
Cemre
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Find the value of each number which derives an average given a starting point, end point and total of numbers used.

Given an average, a low number, a high number and the total amount of numbers used (stated) to derive the average, is there a formula to determine what the value of each number was, that amounted to the average? Example: Average amount:…
userabuser
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Calculating weighted average between a number and a percentage

How do I calculate the weighted average between a percentage and a number? For $120\%$ and $88$, assuming that $120\%$ weighs $60\%$ and $88$ weighs $40\%$. For context for 120% it is based off this formula , 6/5 =1.2 which is 120% So basically in a…
Kcv
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What's the best way to calculate the average wind speed?

I am randomly generating wind speed for the X and Z axes. Let's say I have that the wind is blowing X MPH in the north direction and Y MPH in the east direction. I want one final value for the wind's speed, though. Is it accurate to just say that…
NateRob
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Average of middle number

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 to me i thought the number which is the middle…
Anshul Sharma
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Weighted mean with multiple weights per category?

Dear all I'm looking for some help and confirmation since it's been a while since I have done these types of calculations. I'm trying to calculate a few things with regards to populations. I want to have them weigthed on 2 or maybe 3 types of…
Bob van de Voort
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Daily to Annualized to Monthly Chargeable Amount Conversion

I am looking for conversion based on daily values to annualized values. However, these are NOT for returns, but for amounts. For returns based conversions, the standard formula to use is well-known: Annual returns = (1+Daily returns)^365 – 1 My…
Aquaholic
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Calculate Beats per Minute (BPM) without using average

TL;DR: My question is not about programming. Calculating BPM (beats per minute) using average is not working well. Any other ideas? I'm studying a programming language and decided to develop a simple "Tap Tempo" app. It basically get user mouse…
0d4n 0d1n
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Average calculation of last elements in a sequence

Assuming I need to sample the average of the last $n$ elements in a sequence each time a new element is added to the sequence. Is there a way to get the new average without saving all the $n$ elements?
Arik Malachi
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Average of points

I am teaching a year 8 class data, and they came across this question which they didn't know how to do. The question is: Annie averages 15 points per game for the first 3 games of the AFL season. Over the next two weeks she scores 18 and 22 points.…
Lola Lynch
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Average speed of train

Distance between two stations $A$ and $B$ is $778$km. A train covers the journey from $A$ to $B$ at a uniform speed of $84$km per hour and returns back to $A$ with a uniform speed of $56$km per hour. Find the average speed of the train during the…
Riya
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Is there another name for power mean, where p=1/2

What would you call this type of average? $\left(\frac{1}{n} \sum_{i=1}^n \sqrt x_i \right) ^ 2$
Andreas Jansson
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How to quantify relative difference between numbers when one of them is negative.

I'm trying to quantify the relative change between two items. First item goes from $15$ to $37$ in $2$ minutes and second item goes from $15$ to $10$ in the same time. The rate of change for first item is $37 - 15 = 22$ in $2$ minutes and for the…
Diwakar Jha
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