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

Calculating future average

I have an average of 3,5 over 16 data points. If I wish to increase this average to, say, 6, how many future data points must be of a certain value? Assume all future data points are of the same value. If the current average of 16 data points is…
mhrvatin
  • 3
0
votes
0 answers

Mean of fractions or fraction of means? When to use mediant and when to use mean?

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 similar data. I wanted to know the average…
xpnerd
  • 119
0
votes
0 answers

Continuous Average vs Average with respect to arc length

Why do the lengths of the dθ segments change, while the lengths of dx do not. I can see that the x-axis is a straight line, and the half-circle is curved, but I thought the segments of dθ would be the same length -- like dividing a line or function…
Renzo M-Svartz
  • 23
  • 7
0
votes
0 answers

A sample of 210 sanitation workers for a city earns an average of $24,375 per year.

A sample of $210$ sanitation workers for a city earns an average of \$24,375 per year. A record also shows that the standard deviation of all city workers’ income is \$823. What is the average income of all sanitation workers in the city? Conduct an…
Samuel Cheung
  • 21
0
votes
1 answer

Calculating the average of all pairwise distances between individuals

Assume a population of four individuals T1, T2, T3, and T4. The Euclidean distance is calculated for each pair of the four individuals. I would like to calculate the average of all pairwise distances between all individuals. I found one paper…
Nasser
  • 125
0
votes
0 answers

How does one average complex exponents?

I have a huge equations system and in some of them I have to average < > some terms. Let's assume that I have terms like $$A(r, t) \mathrm{e}^{i \tau},$$ where $i$ is complex unit. Now I have to average it by $t$. How can I do it in general form…
John
  • 175
0
votes
1 answer

Calculating Average Cost per day to Travel to a City

I have a list of travelers, their total cost to travel per trip, and number of days traveled for each trip. Is this formula correct for the average cost per day to travel? Traveler's Total Trip Cost / Number of Travel Days = Cost per day Cost per…
TechWriterTen
  • 103
0
votes
1 answer

What is the proper way to calculate profit margin?

Let's assume here that I have made these 4 sales in the past: 1. Purchased for: $1,050; sold for: $1,200; profit $150, margin: 12.5% 2. $2,900; $3,150; $250; 7.94% 3. $3,800; $4,300; $500; 11.63% 4. $1,550; $1,500; -$50; -3.33% (or should…
user984621
  • 333
0
votes
2 answers

How to find the number in the set only with their average and with the other average when particular number is removed from the set?

Let N be a set of some positive integer numbers with an average of 20 and containing the number 80. The number may or may not be distinct. However if one number equal to 80 is removed, the average drops to 18. What is the largest number that can…
AzizStark
  • 103
  • 3
0
votes
0 answers

Average of individual growth vs Average of aggregate growth

I am trying to understand what drives differences between average individual consumption growth and average aggregate consumption growth. Let's assume there are $N$ agents and $T$ time periods and $K$ economies. There is a matrix $C_k$ which stores…
phdstudent
  • 175
  • 1
  • 2
  • 15
0
votes
1 answer

How to calculate avaerage of the average

I am having data of 10 schools, each school is having different no of sections. Each section students attended different no of computer classes. How to calculate the average no of computer classes attended by 10 school students. I tried to…
Pavi
  • 101
  • 1
0
votes
1 answer

Mean, Median, Mode,…, Sum?

Five test scores have a mean of $91$, a median of $93$, and a mode of $95$. The possible scores on the tests are from $0$ to $100$. a) What is the sum of the lowest two test scores? b) What are the possible values of the lowest two test scores? so…
Donald
  • 17
0
votes
1 answer

additional points to weighted average

Given a weighted average for a set of data points (weight, score) and additional information such as the sum of all the weights in the dataset - could you help me to determine what the new weighted average when incorporating an additional data…
Sach
  • 1
0
votes
1 answer

How would I add/subtract weight from ratings to get a weighted average rating?

What I'm looking for is basically a way to create a weighted average (of a $10$-point rating system) in which a rating gains or loses significance based on its distance from $7.$ Detailed explanation: (please excuse my non-math terminology) I…
Charles Herold
  • 1
  • 1
0
votes
0 answers

Product of numbers smaller than product of average

I have $k$ positive numbers (actually integers) $(x_1, \ldots, x_k)$, with average $\bar x$. I can't find a proof of the following, although I'm quite certain it is true: $$\prod_{i=1}^k x_i \leq \bar x^k$$ For $k=2$, for any $0<\delta\leq \bar x$,…
tarulen
  • 316
1 2 3
…
20 21