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).

1629 questions
0
votes
1 answer

Most accurate mean for grouped/ranged data

I've got data in a range and frequency format e.g 0-5 : 3, 6-10 : 70 etc up to 31-35. How do I get the most accurate mean for such data?
Stephen Igwue
  • 1
0
votes
0 answers

Getting the average of a serie of values

I am trying to smooth out a serie of values that represents tempo values, depicted in blue. The data comes from a tempo detection algorithm that as you might have guessed is not the best in town, the expected tempo is 126 (depicted in red) but the…
Eric Cartman
  • 297
0
votes
3 answers

Should you average or add together daily bank balanace averages?

I work in the finance field and I am looking at average balances on bank statements balances. When I have more than 1 bank statement I need to reflect the overall average balance between the accounts. I am not clear on whether the average balance…
SJB
  • 1
0
votes
1 answer

Moving averages and crossovers in stock markets?

Suppose I take a two moving averages to analyse stock market prices - one $200$ day moving average, $m_{200}$, and another $50$ day moving average, $m_{50}$. How do you decide when to sell and when to buy a stock based on these moving averages so as…
Ashwin
  • 119
0
votes
2 answers

Average of percentage of 2 numbers.

If I have 24081 items sold at 45% off. and 11386 items sold at 60% off. What is the average percent off for all items sold? Thanks for your help in advance! Craig (This is not homework :) )
CRAIG
  • 103
0
votes
1 answer

cal average speed

the following table represents the number of miles traveled per day by a hiker on his week-long excursion. Find the hiker's average speed in miles per day in the latter half of the week(days 4-7) Day 0 1 2 3 4 5 6 7 Miles 0 15 10 12 7 12…
user108228
  • 3
0
votes
1 answer

Set of Points into Two Groups with Same Average?

What kind of algorithm using MATLAB or done by hand will allow someone, given a set of data points, to divide them into two groups with as close of an average as possible?
Sean
0
votes
1 answer

What is the average value of number-range along interval?

Given a finite range of real numbers $$x = x_0,x_1,x_2,...,x_n$$ and an interpolation function $f(c), c\in[0..1]$ (such that e.g. $c(0)=x_0$, $c(1)=x_n$), and an interval $$I =[u,v], u\in[0..1], v\in[0..1]$$ what would be the accurate way to get the…
phresnel
  • 143
0
votes
2 answers

Average Proofs, where $n\ge 2$ is greater than the average of real numbers

Prove that at least one of the real numbers $a_1; a_2;... a_n,$ where $n \ge 2$, is greater than or equal to the average of these numbers. I'm stuck on how I am supposed to prove this. Honestly proofs are my worst skill in all of my math classes.
Axxelsian
  • 135
0
votes
0 answers

How to report the accuracy of the average of multiple sensors?

I am measuring the temperature of a metal plate using 4 thermal sensors. The sensor used is specified to have an accuracy of ±0.1°C. If I have for example those readings: The average of all sensors is: 20.45°C. However how should I report the…
Francois
  • 133
  • 1
  • 4
0
votes
1 answer

Getting the right average rate of growth

I am trying to get the average rate of growth across a series of numbers that will lead to the same sum as the discrete rates of growth. For example, if I have 1 unit at $t=1$ that grows at 2%, then 3%, then 2% again the resulting sum of units would…
Shri
  • 11
  • 2
0
votes
1 answer

The relative difference of averages gives different result than the Average of relative differences

Say I have these values : Value 1 Value 2 Absolute difference (Value 1 - Value 2) Relative difference (Value 1 / Value 2 - 1) 0.80 0.30 0.50 167% 0.75 0.20 0.55 275% I'm interested in calculating the overall relative difference. I see…
pollytatouin
  • 1
0
votes
2 answers

Average value of a function over some given interval

I was learning about simple harmonic motion from YouTube and in one of the lectures the teacher introduced to the formula for the average value of a function I know that formula for the average value of a function $f(x)$ over an interval $[a,b]$…
Anshu Gupta
  • 147
0
votes
0 answers

Calculating weighted averages in ranking task

I have a set of eight principles and have been tasked with working out what the top five preferred principles are. In a series of interviews, participants were asked to rank their top five, with 1 being the most preferred, and 5 being the least…
atem634
  • 1
0
votes
0 answers

How do I get a realistic average when having a highly-segregated data groups.

I have an instrument that collects travel_angle, work_angle and speed as the user moves this instrument and this data is collected in constant delta T. Assuming counting starts at 0ms and the increment is…
Dimitar Veljanovski
  • 101
  • 1
1 2 3
…
20 21