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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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Series of consecutive integers

A series of 10584 consecutive integers has a sum that is a perfect cube. What is the smallest possible average of this series?
Knight Dark
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Average number of work hours of a group of workers

I would like to calculate the average number of work hours of a group of 2 workers as the table below: Worker A has 2 days that he/she is working and Worker B has 1 day only. To calculate the average number of work hours, should it be: a) sum of…
mattkim
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Trying to weight some stats from a game for a custom scoring system

I recently made a Discord bot for a leaderboard around a game called PUBG. I made my own fun "score" to promote team-based stats (versus just win rate) but I believe I have a fatal flaw in my desired logic. My intention is to use three stats and…
Austin
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How to calculate the least number of set values needed that then summed up would be greater or equal to the half of sum of total values?

I have an array of numbers (a column in excel). I calculated the half of the set's total and now I need the minimum number of set's values that the sum of them would be greater or equal to the half of the total. Example: The set: 5, 5, 3, 3, 2, 1,…
PovilasID
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How would I generate a series of numbers based on an average?

I'm not too good with math so I'm struggling with this. Say I am given an average yearly temperature and I want to generate twelve random numbers to constitute the average for each month of the year within a certain limit so that I'm not getting…
Hrafn Fjǫðr
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Balancing merges of timed event

I'm making a game that can fuse few guns to create an equal gun and I need to compute the fused properties. First off I thought this was easy - I just took the inverse of the sum of the inverses of the times between shots and took the mean of the…
Daniel
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On Average Yield Per dollar

I want to answer the question: On average how many sticks of butter per dollar. Given the following Dollars Butter Butter/Dollars 1 2 2 1 2 2 1 2 2 …
ARs
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What difference between average of partial averages and the average should be expected?

I have a list of random numbers with unknown distribution. This list is divided in N chunks with equal length. Then I have the average of every chunk, and the average of these averages. Is it possible to derive the difference (min,max) between the…
IvanDi
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Calculating the old average with the mean change

Can you calculate the original average of some numbers by knowing how the average changes when you add numbers to it? For example: Let's say we have a class of some old students (we don't know their age or the average or the number of them). Then…
Pavol Komlos
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Calculate what % an average is of an average of a total of which the values that make up the first average are a part

Situation (example only): I have 10 steps that each have a start and end time, the steps occur in order. I'll refer to the steps as steps 1 through 10. I have between 1 and infinite (inclusive) records that each contain exactly 1 copy of each…
Brett Jeffreson
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How to calculate weighted average with a zero?

I've got zero that needs to be weighted at 40% I've then got a whole bunch of numbers let's say the average of 3,2,1,1,1 all weighted at 40% I've then got another set of numbers, let's say the average of 2,1,1,1 weighted at 20% Currently what I…
aofe1337
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Working with average numbers and finding unknown variables?

There is this question I was approached with and I am absolutely stumped on where to even begin to solve it. It goes like this: Based off the following 4 equations, find the average of $x_1$, $x_2$, $x_3$, and $x_4$. $$x_1 + \frac{x_2+x_3+x_4}{3} =…
Backslash
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Calculate average wind velocity

I've got an anemometer to measure wind speed. Its ratio is $50Hz = 15.5m/s$, so my Arduino counts pulses in 3100ms, which should give a count of $100 = 10m/s$. I can display this on a dashboard on the wall, but I'm more interested in an…
Lenne
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I'm having trouble calculating ratings

I'm not a wiz at math and this problem has me a little stumped. I need the average score out of 5 but it's a little different how I do it. I have 5 fields, field one is rating one, field two is rating two, all the way up to field 5. I need to grab…
user8997
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Averages...Numbers in a list

I have provided many submissions and all of them have been wrong. Not sure what else I can do so I am asking here. Give a formula that computes the number of operations required to find the average of any amount of numbers (Use variable n to…
Christopher M
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