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Questions tagged [average]

Average most often refers to the arithmetic mean, but more generally to measures of central tendency that use most, or all, of the data values. Examples include trimmed mean, Winsorized mean, harmonic mean and geometric mean.

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Best Way to Aggregate further and Analyze a Data Point that is Already an Average

I want to understand how much time (on average) each Customer Service Agent (CSA) is taking to reply to messages that are sent by a Customer on a single chat. E.g., "Charles took on average, 22s to ...
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35 views

What happens with my variance if I multiply observations by 5?

Suppose a dataset with observation values: 2 3 4 4 2 Variance of this observation, assuming this is the entire population, would be: Where the average is: 3. ...
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20 views

Given a list of standard deviation values, how do I find the overall standard deviation of the whole set?

I have a program which takes a set of images and collects various types of information about the colours within each image. One of the things it collects is the mean of each RGB colour value (in a ...
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22 views

Comparing Likert Data

I have several 5-item likert scales and would like to compare the results between different surveys. Is there any logical way to score the likert results and compare? Averages don't seem to capture ...
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184 views

Can I use averages to improve the forecast of a multiple regression?

I have a cross-sectional multiple regression that I have estimated and now I would like to apply it to make a simple forecast of the dependent variable. Take the data generating process $$y_i =\...
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Can I compare daily averages using a T test?

Pretend you had a sales group that was required to perform a bunch of administrative work for every prospect they contacted. E.g., entering the prospect's contact info into a CRM, researching the ...
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23 views

Most “statistically sound” method for finding the average of multiple different metrics [duplicate]

If I have 3 different metrics and I wanted to find an "average" (not necessarily arithmetic mean) of the 3 metrics so that observations can be ranked, what would be the most "statistically sound" ...
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Correlating with average of independent but values of dependent variable?

I want to correlate reef health (independent variable) with fish biomass (dependent variable). I have six location and at each location I determined reef health only once, but fish biomass was ...
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14 views

From unsupervised clustering to a weighted average?

I am in the process of writing my master's thesis, and have stumbled (as one often do..) upon an area of statistics that I am not familiar with. My setup is, that I initially have 2 features which I ...
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60 views

On average of percents

I have read some pages about how to calculate the average of percents. However, still I don't understand something... Assume data points are organized in the following manner: We have two categories ...
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28 views

Which test applicable to compare means across time series?

I am currently writing my Master thesis and seek some advise how to best analyse my data and what the appropriate test for significance would be. To give you some background: I want to analyse ...
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117 views

Calculating the variance of sample, knowing the mean of population

Suppose that I somehow know the mean of the population. And I want to calculate the variance of a sample. Should I subtract population mean or sample mean? Is there any situation in which I should use ...
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Which mean to use to find the average of measurements given in the form of “per period”

Let's say I made several measurements on my gas consumption. 2m^3 per day 1m^3 per day 1.5m^2 per day 2m^3 per day What is the average daily consumption of gas? I can take arithmetic mean and it ...
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146 views

Calculate Median Value of Likert Scale data

I have a dataset in a Likert Scale: strongly agree, agree, neutral, disagree, strongly disagree (see attached). (i) Is there an online calculator that can used to calculate the Median for each item ...
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21 views

how to calculate average tenure of a worker in any factory

I have tenure data for workers who have left the factory and also who are still working in the factory. I need to calculate average time spent by worker in the factory?. what data should i consider ...
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Interpretation of the ratio of two estimated population means

I have two datasets. Lets say average of 1st dataset is 10, and average of second dataset is 12. Is it acceptable to divide 12/10 and say that the relationship between both datasets is 1.2? I am ...
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21 views

How do I weigh values by their relative frequency and then get an average?

Suppose I have three values that were measured repeatedly in a study. The conditions imply that the values should be close to each other, i.e. ideally three times the same value. The measured ...
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54 views

How to calculate the standard average of a set excluding outliers? [closed]

I have a set of numbers, and I need to calculate their average excluding outlier values (which I don't know a priori). It came to mind that many years ago I studied Standard Deviation. Could I apply ...
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20 views

Median versus Harmonic Mean As Log Normal Data Summary

I have a set of data that follows a lognormal distribution (it is fixed-distance, variable-speed situation https://stats.stackexchange.com/a/23130/55305). I am trying to summarize the data in a single ...
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2answers
52 views

Correct way to calculate an average

If I have the cost and number of days for several trips to Italy and I want to calculate how much an average trip costs to Italy per day. So my data would look like this: ...
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34 views

Name for (maximum+minimum)/2 and relationship to average?

Is there a common name for $c := \frac{max(X)+min(X)}{2}$? What is the relationship between $\tilde{x} := Avg(X)$ and $c$? What metrics or information can I derive from $\tilde{x}$ and $c$? If I ...
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47 views

Calculating mean of continuous time series

I'm calculating the arithmetic mean of values in a continuous time series, weighted by duration. Points in the time series are not guaranteed to be evenly spaced. Example data: ...
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1answer
52 views

How to compare sub-sample mean with the sample mean?

I have a dataset with 983 rows and two columns: Rent and Postcode. The mean Rent for the entire sample (983 rows) is 817.49. The mean Rent for the N1 postcode (23 rows) is 887.02. The N1 data is a ...
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59 views

What does “middle of the data” really mean?

I have some noisy time series data for different climate variables and I want to know overall if they are increasing or decreasing with time. From this Water Resources Statistics Guide, the LOWESS ...
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22 views

Robust estimator of a geometric average?

Is the geometric average of a sample the best robust estimator of the geometric average of a population, or is it something else like the median or trimmed mean or even the mode? Would it be correct ...
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39 views

Which data needs to be collected and what to do with it. I need step by step process with explanation for understanding.

I sell a given product through 1000 shops & average revenue for that product is 2400 dollars per week per shop, with a standard deviation of 3100 dollars. I want to analyze, the offer ' three for ...
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103 views

Is there a method to transform all z-scores into positive values?

During my calculations I need to use square roots but z-scores can be negative. Is there a trick to transform them into positive value without missing the usefulness of z-scores? What if I have not ...
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37 views

average number of tossing coins till 'Head-Tail-Head' series of observation comes up [duplicate]

I know that we use 'geometric distribution' to solve problems such as 'Expected number of tosses till first head comes up' or 'expected number of rolling dice till first 'number 6' comes up'. However,...
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Comparing averages of unequal population sizes

Imagine the following problem: I have 1000 plots of land. On each plot of land I plant 1000 Oak trees and 1 Elm tree. Each plot of land differs in multiple parameters (e.g. sunlight, soil type, ...
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41 views

Averaging Histograms

I am currently running experiments which include measuring concentrations throughout an environment, producing a histogram as such: Which shows the percentage of positions which have oxygen ...
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1answer
16 views

Error propagation in dividing the averages of two data sets

Let's say I have two data sets each containing 1000 points. I want to get the respective averages of both data sets, then divide the resulting averages. What is the best way to propagate the error (e....
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2answers
37 views

Effects of exclusion on averages

Given a set of data points, if a single point which is above/below the average is excluded, can it be said that the new average will surely decrease/increase? What if the average is the median instead ...
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67 views

What is the maximum entropy distribution given the median (instead of the mean)?

Given that the median seems to be a more robust statistic than the mean/average, I was wondering if there is a solution of the maximum entropy distribution given the median (or the median and some ...
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Problems with averages and NRMSD

I am looking at which weekdays are most like others over data across 24 hours, and I am comparing the data points by weekday. Graphing hourly averages by the day suggests one thing but the average ...
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55 views

Standard deviation useful for indicating the spread of data when there are few outliers?

I have the following data set: 340 1680 1490 140 56 188 177 15 99 5 31 160 67 10 140 35 105 67 34 150 77 20 122 19 250 59 9 144 199 I calculated the arithmetic ...
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22 views

Show that these two sums involving sample means are equivalent

Let $C_{ij}$ be observations with indices where $i=1, \cdots, M_j$, $j=1, \cdots, J$. That is, there are $J$ groups and each group $j$ has $M_j$ observations so that in total there are $N=\sum_{j=1}^{...
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92 views

In what sense did “average” ever come to mean a statistical quantity?

I was researching the etymology of "average" to enlighten the debate as to whether "average" can in fact mean a "median" (or if the presenter was merely trying to sweep up their tracks so to speak). I ...
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Comparing population averages while accounting for changes in composition

I have two populations (i.e., men / women) with different average measurements (let's say height). I observe the combined average of their height decreases. I also observe the proportion of women ...
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26 views

Raising average: organic approach vs outlier

I'm having trouble articulating a statistics concept concerning averages. As far as I know, there are two ways to raise the average: observation by observation (imagine adding +1 to all observations) ...
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12 views

How to Test if Average Percentage Is Significant

I have 2 datasets. One consists of all block groups in a county where the number of people living below the poverty level is higher than the statewide average. The other consists of all block groups ...
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156 views

Descriptive statistics for panel data with missing values

My question involves a panel dataset. I have a number of firms over 2001 to 2017 for various variables like total assets, net income, liabilities,…. Example of firm dataset which has some missing ...
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16 views

How to take the mean time of remission from multiple observations?

I would like to consider the average time of remission in a group of patients on some drug X and then compare this to another group on some drug Y. I have the problem that this is longitudinal data ...
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1answer
27 views

Average for year if some stores stop selling product

I am trying to calculate yearly sales averages per product across a number of stores. The average should only include those stores which carry a product. So if I have stores A, B, and C and products ...
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30 views

Which statistical figures should be used to describe my data set [closed]

I apologize if this question has been asked before. I am looking for the best way to describe my data set. A little background - I am a algorithmic programmer with a physics/mathematics background. ...
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15 views

Confidence Interval for averaged estimates from multiple models

I have 10 datasets, all containing the same featureset $X$ (5 variables, all discrete non negative), and response variable $Y$ (1 variable discrete non negative). I have to train 10 linear models ($Y$...
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3answers
323 views

distribution VS average [closed]

Can anyone give me more details why is it always better to work with the distribution of a variable than with its average? I know that by taking the average we take into account the outliers but is it ...
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1answer
23 views

Perfomance Evaluation of Servers

I'm testing ceveral configurations of a server. At each run there is a script that is making hunderds of curl request. After running the tests per each configuration I have the following output: ...
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How to properly ignore results with high variance

I'm trying to estimate performance results of different configurations. In each test one machine is generating requests to a server for x minutes. The output is: 1. Number of attempts 2. Number of ...
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245 views

Calculate classifier accuracy from per label accuracy

I would like to have a per Label accuracy and classifier level accuracy, but my calculations seem incorrect. Here is my full example. Let's say I have a multilabel classifier which predicted in the ...
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1answer
248 views

Is a weighted average unambiguously superior to an unweighted average?

I want to describe a statistic on my data. For example, I have data on firms (companies), and I have a measure of $x$ for each of them. Now, firms differ in size, which could be understood in terms of ...