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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7 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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2answers
15 views

Using double integration to compute an average yields a different result than computing it without integration

I'm self-learning multivariable calculus and am using double integration to compute the average value of $f(x,y)$ over some region. I'm trying to solve the following simple problem using two different ...
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1answer
12 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
26 views

Averaging speeds

I read the answer to this question: http://stackoverflow.com/questions/34794664/how-should-i-calculate-the-average-speed-by-road-segment-for-multiple-segments/34795821#34795821 Can anyone please ...
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2answers
22 views

Find the percent of boys and girls

I have a basic school academic question which despite of trying very hard I was unable to find a solution - Average score of girls is an exam is $67$ and that of boys is $62$. Find the percentage of ...
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3answers
33 views

Number of Likes and Dislikes to Star Rating system

I have a 5 star rating system that outputs a recommendation. A user inputs a rating based on a Like or Dislike. What I would like to know is how to convert the number of likes and dislikes into a ...
0
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0answers
8 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
20 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
31 views

Average velocity question? [duplicate]

I usually know how to do these but this one gives me trouble. If a ball is thrown into the air with a velocity of 46 ft/s, its height in feet t seconds later is given by $y = 46t − 16t_{2}$. (a) ...
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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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1answer
9 views

Weighted Averages from the world of GMAT..

I am really confused about how this question has been solved. I've given the question, author's approach and then mine. Can you help me figure out why/ why not I have gone wrong? Thanks in advance, ...
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1answer
22 views

Average case of element comparisons when searching for an element x with a specific probability

I just had a midterm, and unfortunately our professor has stated that he will neither discuss nor post any solutions to the midterm, so I'm posting a question that was on it here in hopes that someone ...
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1answer
65 views

How can I average two integers digit by digit?

I would like to take two integers of similar size (about the same number of digits) and average them, without having to first add them, and then divide the result by two. Let's say I have the ...
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0answers
15 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: ...
-1
votes
1answer
25 views

Specific average calculation [closed]

Suppose I have a set of weighted grades for a subject in high school. Like this: 8.4 (weight: 3), 7.2 (weight: 1), 3.4 (weight: 3). When I loop over that set like ...
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1answer
34 views

For all real a, b, order the averages.

I'm taking a proofs class and the textbook says to do this problem: For all real $ a, b > 0 $, show $ \dfrac{2ab}{a + b} \leq \sqrt{ab} \leq \dfrac{a + b}{2} \leq \sqrt{\dfrac{a^2 + b^2}{2}} $ ...
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0answers
31 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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0answers
49 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 ...
1
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1answer
30 views

Given the lengths of two sides of a triangle, is it possible to obtain (sharp) bounds for the average length of the sides of the triangle?

The title says it all. Given the lengths of two sides of a triangle, is it possible to obtain (sharp) bounds for the average length of the sides of the triangle? Let the lengths of two sides of ...
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1answer
14 views

What is the difference between the natures of finding average value using secant slope and integral?

To my knowledge, there are two ways of finding average (what average I am not too sure, forgot what my teacher said. But I think it has something to do with the mean value theorem) Say you have a ...
4
votes
1answer
36 views

What is the name of this type of “average”?

Given two variables $x$ and $y$, $$\frac{2}{1/x + 1/y} $$ looks like some kind of average of $x$ and $y$. Is there a name for it? Where can i look up more information (such as properties) of this ...
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1answer
26 views

formula to calculate average quiz score

I'm creating a Quiz web application for an assignment. There is a requirement to show a user the average score for a particular quiz (from pool of all users who have tried it before) upon successfully ...
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0answers
40 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
28 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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0answers
32 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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1answer
19 views

Generate exponential weights (sum of all = 1)

I have $500$ observations and I want to make exponential weighted average of them. I want the weights to be something like $w_i = 0.999^t$ when $t$ is from $1$ to $500$ (num of observations). ...
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5answers
287 views

Is the point of a shape with the greatest average ray length also the “centroid”?

By a shape I mean one with a enclosed area. One example can be with $x^2+y^2+\sin{4x}+\sin{4y}=4$. I am dealing with implicit relations on a 2-d plane. By the "ray length" I mean the length of the ...
3
votes
2answers
107 views

In what sense is the “average” of $sin(x)$ equal to 0?

I think it makes intuitive sense that if a phenomenon is described by simple sinusoidal oscillation, it is "on average" equal to its midrange, but I think I failed in trying to make that statement ...
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1answer
21 views

One number to represent the percent changes of multiple numbers

Question: Is there a way to represent the total percent change of multiple numbers (make it into one number that represents change) that isn't just the percent change between the first and last number ...
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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
0
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0answers
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} ...
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0answers
24 views

Calculating percentage of range of values given total set members and average (review ratings)

Given the total number of members in an unknown data set, with values ranging from a minimum of 1 to a maximum of 5, is it possible to determine the probable percentage of values that fall within a ...
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1answer
18 views

Weighted average of multiple angles

This answer has a good approach to calculating the average between multiple angles: simply convert each angle to its unit vector, add them up and convert the resulting sum vector back to an angle. The ...
3
votes
1answer
79 views

What about $\lim_{n\to\infty}\frac{\sum_{k=1}^n s_k\mu(k)}{n}$, for the zeros of Dirichlet eta function $s_k=1+\frac{2\pi k}{\log 2}i$ with $k\geq 1$?

Let for integers $k\geq 1$ the corresponding zeros of Dirichlet eta function of the form $$s_k=1+\frac{2\pi k}{\log 2}i,$$ then we can consider the following puzzle, when we multiply previous ...
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1answer
21 views

What is the proper notation for the “average of the last N elements of a sequence”?

I use sliding window average in my calculations: average for the last N elements and average for the N elements before that. What would be the correct mathematical notation to describe this?
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1answer
41 views

Aggregating standard deviation to a summary point

I have a range of data (server performance statistics) is formatted as follows, for each server: ...
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1answer
8 views

Finding the measured average angular velocities

Supposed I have a couple rows of data with recorded measured ratios $\omega_f/\omega_i$ and they ask me for the "Average Measured $\omega_f/\omega_i$ " This may seem like a really trivial solution but ...
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0answers
11 views

Calculate portfolio weighted averages - smoothing curve

I'll first off apologize for not knowing how to ask this question properly, but I just can't come up with the right words which is likely why I can't find an answer. I have a fairly simple portfolio ...
0
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1answer
10 views

the average growth rate/ Calculate the annualized return for the entire period

The returns from an investment are $2\%$ in Year $1$, $5\%$ in Year $2$, and $21.8\%$ in the first half of Year $3$. Calculate the annualized return for the entire period. I know the average growth ...
1
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1answer
28 views

Two player game about maximizing earnings subject to an interesting condition

Me and my friend had a bet. We each pick an integer between $1$ and $100$ inclusive and reveal it at the same time. Whoever picks the higher number has his number halved. Then the person whose number ...
0
votes
1answer
22 views

Factors that Impact a Weighted Average the Most

I am trying to determine how to calculate the factors that have the most significant impact on a weighted average. For example, let's say I am reviewing the number of patients that responded to a ...
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2answers
30 views

A mixture of two kinds of beef has a total fat content of 8%; find the ratio of the mixture

I am struggling a bit on weighted average problems on the GMAT. I'm a bit confused as to how they work and the best way to solve them. I'm kind of relying on intuition, but I'd like a more formal way ...
1
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1answer
27 views

Can you determine the average second derivative from a set of points?

Let us say we have a smooth function $f$. We can find the exact average of $f'$ on the interval $[a,b]$ via $$\bar{f'}=\frac{f(b)-f(a)}{b-a}$$ My question is, can you find the exact average of the ...
1
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1answer
36 views

Propagation of Uncertainties [closed]

I have five values for the volume of sodium hydroxide needed to neutralise a fixed quantity of hydrochloric acid, each trial with an uncertainty of 0.05 mL. If I take the average of these five values, ...
-1
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1answer
28 views

The average of 11 results in 50 [closed]

The average of 11 results in 50.If the average of first six results is 48 and that of last six 51,the sixth result is?
0
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0answers
20 views

Weighted average of slope

I'm trying to find the weighted average of a temperature increase in a vessel. So, essentially the weighted average of a temperature over time. I'd like some input if this equation gets me what I'm ...
1
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0answers
23 views

Advise on Weight Function for statistical analysis needed

I'm doing a statistical analysis of an experiment I'm conducting, and right now I'm trying to define a proper methods for data mining. Please take a look at my problem: I'm doing a user research ...
2
votes
1answer
31 views

Average velocity of fluid flow

Washburn equation for fluid flow in horizontal capillary is given by : $\frac{dL}{dt} = \frac{γR}{4µL}$ Find the time dependencies of length of travel, $L(T)$ and average velocity. I can find the ...
0
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0answers
12 views

Weighted rating value

I have a database consisting of clubs and its ratings people have provided them with. Currently, I am performing an average of the ratings based on a club and then sorting these averages ...
0
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0answers
25 views

Which is the default Standard Deviation Formula

I have to implement a test from research paper which says: As for testing criteria, standard deviation or min-to-90th percentile ( ) of large packets (1500 B) can be effectively used to find the ...