The sum of several numbers divided by their count nicely summarizes the overall size of the numbers involved in a single value.

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45 views

How do I “recalculate” a median number?

I'm not sure how to explain the question, so I'll do it by an example. The median age in some country is 41.7. 50% is younger than 41.7, 50% is older. How would I calculate the percentage of the ...
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1answer
46 views

How should I calculate weighted average in this case?

If there is a product, whose price depends on its quality, and these price values are: [0.6; 1.1; 1.3; 2.0; 4.2; 21.6] Lets assume that there is some kind of a lottery, and I can by a ticket for it ...
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2answers
70 views

average and total average

why is it when I get the average of the column "per hour", it's different from the total?
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22 views

Count if there are more smaller or larger number in a result made of multiple Xs?

Firstly, I am not a math pro or something. So far I was able to use math for my needs, but now I am at my wits' ends. Here is the deal. These things are known to me: ...
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2answers
46 views

Five members of a wrestling team are weighed and …

An average weight is calculated after each player is weighed. Of the average weight increases by 2 pounds after each player is weighed, how much is the last player than the first? My answer is 8 ...
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238 views

Average percentage formula

I have something like: Price Quantity Tax (%) 2.2 34 8 1.3 29 7 And so on... After that I get something like: ...
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67 views

Get N values between 0 and 1 AND control spacing of results.

So I need to get N number of values between 0 and 1. The values should be evenly spaced. Thats easy... However, I also want another variable X that will shift the resulting values closer to 0 or 1. ...
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144 views

Properties of weighted average ratio of weights

Suppose we have two sets of weights $w_i$ and $u_i$; i.e., $\sum w_i =\sum u_i = 1$, and $0 \le w_i \le 1$, $0 \le u_i \le 1$. Consider the weighted average ratio R of these weights: $R \equiv \sum ...
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1answer
184 views

Weighted mean from a set of average and standard deviation pairs

I'm trying to replicate some math a professor did related to Twitter sentiment analysis. Basically, there is a sentiment dictionary, called ANEW, that contains a mean and standard deviation for 3 ...
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2answers
43 views

What formula would you use to cast an average of several numbers into a smaller range?

Say I have four numbers ranging in value from 15-95. If I want to, for a simple example, say that if the average of the four numbers is 15 (lowest possible value), that would relate to 2 on a scale of ...
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45 views

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 ...
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36 views

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?
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94 views

Average amount needed for x number of months remaining

I'm trying to calculate the average amount of profit needed to hit a milestone based on the number of months remaining. So let's say the goal is £1,000 and there are 5 months left. If I have £400 ...
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1answer
44 views

Calculate the new average using standard deviation?

This is for a programming exercise. I have: the last average value the last standard deviation the total number of values I need to be able to add a new value to my average without knowing the ...
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2answers
80 views

Quadratic and geometric average

I'd like to find the find the quadratic average and the geometric average. To do this I have these informations : The standart deviation, the arithmetic average and the number of values. I know the ...
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1answer
85 views

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 ...
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1answer
592 views

Find out Average and Percentile from the Histogram

Below is my Histogram information- {178=18, 213=1, 114=76, 139=5, 131=10, 176=13, 95=229, 1444=1, 206=5, 192=4, 227=2, 185=12, 67=14, 199=4, 148=11, 124=21, 75=226, 1431=1, 123=29, 157=16, 96=...
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1answer
4k views

Average Slope of 4 Slopes

I want to calculate tha Average Slope of 4 Slopes, but Im not too sure if this will require me to calculate the Average error when I do calculate the average of the 4 slopes. Im obviously calculating ...
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1answer
102 views

Most Probable Average Marks

There is a class of 40 students. A professor conducted a quiz on which consisted of 10 Multiple Choice Questions. Each question had 4 options, out of which only one is correct. Each question carried 1 ...
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1answer
116 views

finding average price of two lots of shares

Sorry, not a math guy, this might be an overly simple question for the lot of you, but it's a calculation that I'll have to do a lot possibly, so please show me the best way to do it. If I have $1265$ ...
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2answers
472 views

How can i solve this problem about averages?

The average (arithmetic mean) bowling score of $n$ bowlers is $160$. The average of these $n$ scores together with a score of $170$ is $161$. What is the number of bowlers, $n$? I tried this: $$X'*n ...
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1answer
52 views

Formula for normalising with respect to average

I have a 5*5 grid (as in the figure). At each point there are 5 dishes of varying numbers of bacteria. I'd like to write a formula which calculates the average of these 5 and then divides by the ...
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1answer
434 views

Algorithm to Get a Product score based on rating

I am trying to device a algo for product score. Here are the inputs User rates a product on 5 different criteria out of 10 Each criteria has a different weightage with all adding up to 100% There ...
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1answer
1k views

Calculating Average Percent

I have two ways to calculate the average starting price of an auction item compared to it's actual value. ...
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1answer
719 views

Weighted mean properties when using angles

Consider a joint angle $j$, such that $-180^{\circ} \lt j \lt 180^{\circ}$, with the true value unknown. Given two estimates of $j$, I wish to combine them using a normalised weighted mean, such that ...
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2answers
217 views

Calculating Average…

I know its simple problem, but i want to know if it can be solved some other way around.Here goes the problem. Input: 234 , 54678 , 34987 Problem is to calculate how many of the numbers(by number i ...
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1answer
759 views

Taking the time average of the product of two waves

How might one go about calculating the time average of the product of two identical waves with different phases? For example, what would be the time average of: $$ \cos(k x-w t) \cdot \cos(kx-wt+a) $$...
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28 views

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 ...
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1answer
158 views

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 ...
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1answer
22 views

Detecting unusual activity

How would one go about detecting unusual order flow in an intelligent way. That's very broad, so let me narrow it down. I have a trading system with clients entering number of orders every day. At ...
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1answer
10 views

Calculating the average with Limited memory and without using the count

I am having a flow of numbers on an embedded device, and I cannot store the flow of numbers and would like to calculate the average. I have checked around and found one way was to do like this Avg= (...
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0answers
8 views

Weighted mean / average where you reward the lowest value - cost - distance

Best I've several weather-station (200), placed across the country (508 municipalities). Now, I would like to prescribe the weather info, e.g. temperature, to each of the municipalities of that ...
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2answers
28 views

Volume and Average Height

How do you calculate the average number of floors of buildings across a city block when all the buildings are varying heights. Followings in a listing of what the area looks like and the number of ...
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36 views

How can I calculate accuracy of an estimate based on a subset of data?

For example, say I'm trying to determine the average number of steps taken in a day for a population of 100M people. I know the exact number of steps for a random 25M subset of the 100M group (2500 ...
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10 views

Normalize and Average weighted

Everyday I receive a data of three variables (neutral, negative and positive). ...
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20 views

Boosting v. weighted average

I have been watching an MIT online Artificial Intelligence lecture by Prof. Winston about boosting. The boosting technique uses complicated maths to combine the results from several weak predictors to ...
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0answers
25 views

Anyone have any good ideas on how to average 2D directions?

Directions, being a cyclical quantity (i.e. if you keep increasing the value, you'll eventually end up back where you started) can't be averaged out like regular numbers. For example, say I have 2 ...
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0answers
17 views

The average value of f on region R (double integrals)

If I am given f(x,y) and I calculate the average of the region given by the formula in this image should the average always = (min of f(x,y) +max of f(x,y))/2. I think this is only the case if the ...
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33 views

How can I calculate my current average for my class?

I'm trying to do some what-if scenarios for one of my courses and I'd like someone to double check my work. The grade breakdown is as follows: ...
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0answers
21 views

How do you set the half-life of an exponential weight?

I'm trying to follow the process described in a paper, where they smooth a time series using exponential weights, for which I'm using the formula $z_i=\lambda \bar x_i + (1- \lambda) z_{i-1}$, as ...
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0answers
16 views

Can distributions scale to any given time scale?

I am working with some colleagues to set up alerts based on call center data, and I feel that something is wrong with how it is currently being done, but I'm not sure what exactly, or how to explain ...
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41 views

Bit increase when averaging?

I have a given number $N$ of binary numbers, that are stored using a given number $B$ of bits. $B$ is the same for all the numbers. For example, thease values where $N = 4, B = 4$. ...
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1answer
25 views

Applications of mean and standard deviation

If I have this set of numbers: [9,7,5,5,4,4,4,2] We know that: mean = 5 variance = 4 standard deviation = 2 But is there an application/formula of standard ...
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1answer
25 views

The average of 38,84,63,45,32 and n lies between 50 and 60.If n is an integer greater than the average of the above numbers, then n lies between?

The options are 53 < n <97 50 < n < 100 52 < n < 98 I added the values along with n to get 43.66 + n/6.I then tried plugging in values from the options and tried arriving at ...
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0answers
16 views

How to determine a formula for an index of compliancy

I hope you will be patient with the inarticulate question of a non-mathematician. It's hard to get an answer when you don't even know how to ask the question. Here the contest: Let's say that I have ...
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0answers
9 views

Average discount give for product line

I have been out of school for entirely too long to remember how to build this equation. I am trying to calculate the average discount given for our entire product line, that is sold over 4 distinct ...
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1answer
35 views

Average cost of units over time

I buy and sell units at varying price and I always have a varying stock of units bought in different batches at different prices. I always keep the current_price and the current_volume and I base my ...
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1answer
34 views

Function to determine a set of numbers are balanced

Given the following data, based on a 0-100 scale ...
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20 views

What is the appropriate way to average a set of slopes?

I have a set of line slopes (output from linear regressions) and I'd like to combine them to yield some measure of the 'slope' of the set. However, simply taking the mean of the numbers doesn't make ...
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8 views

Another name for mode frequency

Is there another term for the number of times the mode number occurs in a list/array of numbers or 'the frequency of the mode' in a list/array of numbers? Apologies if this has been asked before - I ...