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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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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1answer
43 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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1answer
35 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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1answer
92 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
79 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
84 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
577 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, ...
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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
112 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
437 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
425 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
688 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
215 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
744 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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1answer
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
157 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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13 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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2answers
40 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
21 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
12 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
5 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
34 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
31 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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0answers
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 ...
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9 views

Weighted Average Using Rankings

So I have this data and I've ranked each category for each person. The best being 1. I can average them , just add up and divide, but I need to weigh them. If I weigh them like normal: ...
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4answers
21 views

How do you calculate a rolling average speed?

I am making a speedometer for my bike with an arduino and I have got it to display speed now I want to display average speed. But I'm struggling to think of how to do it. The speed is checked 1000 ...
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1answer
17 views

Calculate new average from two other averages with its respective totals/counts

I have the next film named Blade Runner and it has two version (director cut and theatrical cut) and I rate the director cut with a 7 and the theatrical cut with a 8, so the average would be: (7 + 8) ...
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1answer
32 views

Midpoint between two real numbers

Well, it's quite clear that if I try to count mean average of any two numbers, I always get the midpoint. Is it really the whole intuition behind this concept? Or is there something hidden behind this ...
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19 views

Determine contribution percentage

I'm trying to determine the individual category percentages once their weights have been applied. The easiest way to describe what I'm asking is to show my workings: ...
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0answers
10 views

Does (messing up) FIFO affect average cycle time?

I'm currently in the midst of a corporate class on process improvement and ran into the following situation: Workflow process containing several steps. No step is skipped or done out of order. ...
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0answers
24 views

Average number of $5$-card draws before all $52$ cards in a deck are drawn.

So an interesting question was brought to me today and I'm not sure how to formulate the equation to answer it. A person draws $5$ cards from a deck, writes the cards down, puts the cards back in the ...
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0answers
9 views

Multiple server queuing model

I have come across the following problem in one of my courses: Let's suppose a patient in a hospital is waiting to be picked by one of the two doctors available. The time till a new pacient arrives ...
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1answer
15 views

Generalizing exponential moving average to n samples

Assume that we have a moving average like this: $E_t = a*S_{t-1}+(1-a)*E_{t-1}$ where $E$ would be an estimate we are interested in, and $S$ is a sample we take at each point in time. Now, if we ...
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0answers
22 views

Weighted average of unit vectors

I am trying to determine the yaw (z) axis of a vehicle given a bunch of sensors, each of them subject to different kinds of error. This means I get a bunch of unit vectors for the z axis, expressed ...
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1answer
31 views

Calculating a weighted average for different pay rates and different hours.

I'm trying to take the money earned over several days - each with unique hours worked and dollars earned per hour (hrs and $/hr). What I've done is multiply each days' # of hours by its rate to get ...
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1answer
25 views

If I subtract a number (from a sequence) from the average of all the numbers in that sequence - what do I have?

If I have a number (from a sequence) and I then subtract that number from the average of that sequence- what do I have? I would describe it as a 'deviation from the average' - but is there a better ...
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0answers
28 views

How to find the best-case and average-case number of comparisons performed by a comparison tree?

So I'm reviewing some material before a midterm tomorrow and I came across this question: ...
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0answers
53 views

Calculating the average case complexity for finding the maximum number in an array

Algorithm: Given a non empty array with $N$ Numerical values, the algorithm finds the location LOC and the maximum value MAX of the largest element of DATA. Initialize K:= 1, LOC:=1, ...
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124 views

Working out averages for goals scored per football game

If for example I had a sample set of 11 football games. Of those 11 games, there were a total of 8 goals. So I can work out the average goals per game by ...
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0answers
46 views

Time series analysis, moving-average model, ARMA model

I'm reading documents about time series analysis, including Autoregressive–moving-average model, Moving average model, Wold's theorem, etc. The notation MA(q) refers to the moving average model of ...
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0answers
44 views

Is exponential decay a moving average filter?

I learned that a moving average filter is an FIR filter that gives the average of $N$ previous inputs, like this: $y_n = \sum_{i=0}^{N-1}\frac{x_{n-i}}{N}$ As a simple extension, it might be some ...
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36 views

Calculating Average “Productivity”

Let me apologise in advance if my terminology is incorrect or if what seems logical to me is completely nonsensical. I am an analyst without a mathematical background and have tried to self teach off ...
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0answers
10 views

Probable minimun of a set having only Maximum, Average and the number of values

I have a data set in which I am given the number of values, the average and the max, how can i work out the probable min value? Thanks
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27 views

What type of function is F?

Suppose that $ X= \{(x_1,d_1),(x_2,d_2),...,(x_n,d_n)\}$ where $x_i$ for $i=1,...,n$ are variable and $d_i$ for $i=1,...,n$ have constant values, then we define: $$F(X)= \sum_{i=1}^{n}(\frac{ x_i} ...