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Questions tagged [means]

In probability and statistics, mean and expected value are used synonymously to refer to one measure of the central tendency either of a probability distribution or of the random variable characterized by that distribution. For a data set, refers to a central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values.

In probability and statistics, mean and expected value are used synonymously to refer to one measure of the central tendency either of a probability distribution or of the random variable characterized by that distribution. For a data set, refers to a central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values. Reference: Wikipedia.

For a finite population, the population mean of a property is equal to the arithmetic mean of the given property while considering every member of the population.

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Is the harmonic mean directly proportional to the sum of the numbers?

Which of the following sentences is mathematically correct: The harmonic mean of a set of numbers is directly proportional to the sum of numbers. The arithmetic mean of a set of numbers is directly proportional to the sum of the numbers. In my…
Ami
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Sums of harmonic means?

This is my first post, so go easy on me if I've made some mistakes. I'm also not a mathematician, but rather an experimental physicist. Basically, I have a problem where I need to take the mean of a function given by a sum of two terms, $f(x) = A(x)…
Jason Rohr
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Is there any relationship between the geometric mean and the arithmetic mean?

Is there, at all any relationship between the geometric mean of a set and the arithmetic mean of a set? If I knew one, and I knew the number of terms in the set, how could I calculate the other?
4yl1n
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How to push mean of numbers twards largest one?

I have some numbers mostly less than 1, and a few of them are negative. How can I calculate mean of them so it will skew towards the largest number? for example my numbers are: $1.2, 0.01, 0.1, -0.2 $. so the mean of them is: $$…
Ali Majed HA
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Arithmetic mean for time series

I wonder if I can use arithmetic mean in this case: I have monthly indices from 2004 to 2010. I want to compute arithmetic mean for all this period to show which index has bigger or lower rate of change. Is this procedure correct? I have some doubts…
Azsb
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use geometric mean to calculate computer performance

how to use geometric mean to calculate computer performance? the 2.2 units The performance of computers COM A and COM B was compared by benchmark using three programs. When geometric mean is used as the evaluation scale, The performance of COM B…
vedss
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Is it correct to add $0.1$ to all values before calculating geometric mean?

I have RNA counts for $4$ biological replicates and I have to combine them for further analysis. e.g. File $$\begin{array}{c|c|c|c|c} RNA\enspace 1& 3.34 & 9.77&3.93& 1.01\\ \hline \text{RNA 2} & 0 & 38.95&0 &0 \\ \hline \text{RNA 3} & 5.99 & 3.11…
Kousalya Devi
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How to calculate or estimate the uncertainty of the mean without the knowledge of the standard deviation?

I have a radiation source and every particle emitted is registered. And the mean number of produced ionizations in a time interval T is recorded. Suppose N number of particles were emitted during the time interval T and the number of ionizations…
Fabi
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finding a value that keeps the difference between two means

I am using two exponential moving average(EMA) for stock trading. I use two EMAs, 5-day EMA and 10-day EMA and the formula for each EMA is as follow: multiplier = (2/time period+1) EMA = (current price - previous EMA) * multiplier + previous…
AmirX
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Inequality harmonic and geometric mean

I'm trying to understand the proof on the bottom: https://artofproblemsolving.com/wiki/index.php/Root-Mean_Square-Arithmetic_Mean-Geometric_Mean-Harmonic_mean_Inequality He uses the AM-GM inequality to prove the HG-GM-inequality, but I don't see how…
Julian
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How to show that the number of jobs is distributed equally

Sorry if I'm asking an obvious question. I have proposed a load balancing algorithm for a system of several devices. Suppose at first the number of tasks on each device is $device1 = 18$, $device2 = 8$ and $device3 = 2$. Now after load balancing the…
Pablo
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find sample for collection of samples

i have following problem, To estimate the average alcohol consumption of UCSD students, we take three random samples of 40, 45 and 50 students respectively, and their sample means turn out to be 3.15, 3.20 and 2.76 pints per week respectively. What…
Nour
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Division of a group of students based on Average Score

A class with $2N$ students took a quiz, on which the possible scores were $0,1,\dots,10$. Each of these scores occurred at least once, and the average score was exactly $7.4$. Show that the class can be divided into two groups of $N$ students in…
user567182
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Number of possible arrangements of n discrete data items, with a mean of x.

I was wondering if there is a formula for calculating the number of unique arrangements of a discrete data set of positive integers of size $n$, that result in a given mean of lets say $x$. I stress positive integers as I imagine if we allowed for…
Chris Wilson
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How to calculate weighted means when determining individual contribution to a goal

Not sure if I worded the question right. And I'm not particularly sure if I know the terms I am looking for. Please help me understand this better. I have a group of students who participate together in a fundraising event. The money raised will be…
Appleoddity
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