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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38 views

Comparing two populations [Beginner]

I have sampled from two separate populations, and I want to figure out which population is better. Population 1 has an average score of 84.1 and a standard deviation of 11.8. Population 2 has an ...
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1answer
26 views

Average of values, their standard deviations and ranges

After reading for hours, I am still swimming. I have a set of plasma concentration results from different labs: ...
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0answers
11 views

Is it advisable to average quarterly benefit claimants rate to an annual claimants rate, and if so how?

I had a discussion with colleague whether would it be sensible to average quarterly unemployment benefit rate to an annual rate? Is it better to refrain from averaging the quarterly ...
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0answers
8 views

Calculating daily mean for whole year through temporally varying samples

I have really basic statistical question about calculating the mean of two temporally different datasets. Let's say that we have two spatially and temporally varying datasets from the same measurment ...
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0answers
26 views

Panel data - industry average calculation in R

I have panel data with many observations of companies' financial indicators that could be grouped by year and industry. What should I do if I need to adjust each observation by the yearly industry ...
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3answers
551 views

Can percentages be averaged?

I've been sent two sets of timings for a task as carried out by several subjects: first using Method A, and the other using Method B. The experimenter has taken the mean timing for each method, ...
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1answer
53 views

How to determine if a weighted average is accurate?

I have the following problem. Consider that there is an election where n persons are voting. The goal of the election is to estimate the weight of a bag. Each person can vote for an integer value : ...
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0answers
12 views

About S/N and averaging

It is well known that Thus, in the ideal case S/N increases with the square root of the number of measurements that are averaged. (Wikipedia) The assumptions are that (1) signal and noise are ...
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0answers
25 views

ranking based of number of items and value

How to avoid the issue of an item with a single 5-star rating getting a higher average rating than one with (99 5-star ratings and one 4-star rating). How to properly rank based on average star and ...
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1answer
27 views

Finding an accurate average with the least number of samples

For the process I am testing, if I run 1000 trials I get an average score of 84.2 with a standard deviation of 11.35. So my question is, is it possible to run this less than 1000 times and still get ...
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1answer
15 views

Technical term for special case of averaging

The special case I'm considering is the following. Suppose that from a population of size n, we add together only the non-zero values. Now, to find the average, suppose we divide the sum of the ...
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1answer
31 views

How to calculate the average age of a subgroup

Just to confirm my findings to a group of data scientists... I have a data set with patients visits and among others the death age of deceased patients. If I then look up all diagnoses the patients ...
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1answer
40 views

SPSS ANOVA or MANOVA or huh?

Me again asking the silly questions - this might belong here as I've been told it may belong in a software section somewhere..? Which I have still been unable to find. Here is a screenshot of my ...
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1answer
110 views

SPSS - making percentage variables

I need to transform a fairly large data set in order to analyse a certain variable as a percentage. I have seconds that I want to convert to their percentage value but by grouping variables. ie. ...
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0answers
13 views

Why is my average CTR different from my overall CTR?

Here's some sample data: ...
3
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1answer
213 views

How to find average and median age from an aggregated frequency table

I am using excel and I am trying to find both the average age and median age. I have two columns. 1 for the category and the other for the number of people in each category. ...
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1answer
99 views

When would we use tantiles and the medial, rather than quantiles and the median?

I can't find definitions for either tantile or medial on Wikipedia or Wolfram Mathworld, but the following explanation is given in Bílková, D. and Mala, I. (2012), "Application of the L-moment method ...
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0answers
10 views

Calculating average fuel consumption with no complete data

Background I just answered a question about SQL on StackOverflow, but think there's a more important question about statistics which I'm unqualified to answer. The asker has 3 fields: f - Fuel ...
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6answers
549 views

Is the median a type of mean, for some generalization of “mean”?

The concept of "mean" roams far wider than the traditional arithmetic mean; does it stretch so far as to include the median? By analogy, $$ \text{raw data} \overset{\text{id}}{\longrightarrow} ...
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0answers
29 views

How do I correctly calculate the average and standard deviation of three samples with varying number of data points?

An example: I have three data sets, measured in triplicate: 1, 4, 3, 2, 4, 3 4, 5, 3, 6 6, 4, 3, 5, 7 I want to take the average and standard deviation of the ...
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0answers
27 views

Weighted mean: Inverse of individual values's confidence interval as weight?

This seems to be a very basic question, however I could not find a satisfactory answer throughout the web, yet. I have, say, N values, whose I know the N respectives 95% confidence intervals (said ...
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0answers
17 views

Standard deviaiton for mean of an already averaged data

I was wondering how to set the standard deviations for average of an already averaged data! The following example shows 2 countries, each with 3 districts. From each district samples (n) were ...
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0answers
5 views

OOV “frequency”

I'm writing an algorithm to split twitter hashtags into their component words. I'm splitting the tags into all possible substrings, and then looking up each substring's frequency in a dictionary. I ...
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1answer
45 views

combining subjective probability estimates and statistical estimates for forecasting

At the end of the year forecasters usually struggle year to predict landing estimate for the financial year due to variety of reasons including volatility, unreliable demand projections, inventory ...
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0answers
45 views

Stolen base success vs Independent catcher and average catcher

I would like to know if my thinking on this is correct. Note: This is not a homework or work question, I am just interested in learning about comparing averages and how it applies to the problem set ...
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2answers
39 views

Predict Seasonal Variations

I am developing an application related to pharmaceutical industry. Certain items are sold in significantly higher quantities during specific periods of the year. For example, here in my country, ...
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0answers
8 views

Average of a list of data using two characteristic

Problem: I want the "average demand of all resources" including priorities. Something like an average demand which still has a priority. What I have...so far: I know I could get an average of each ...
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3answers
54 views

Distribution of the average of a sample of standard deviations

I have a sample of standard deviations. How is its average distributed? The sample is not big so normality is hardly possible. A.B.
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1answer
45 views

Correlation Coefficient for 20-year Average

I have 20 years of corn yields data from five neighboring fields. I transform them into year over year yield increase. I want to get the correlation between these areas. But instead of correlation out ...
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1answer
116 views

Convert a 1-9 scale average to a 1-5 scale average

I am new at this and could use some help with a conversion. Survey participants were given the answer choices on a ranking scale of 1-9 for each question. We then averaged the results for each ...
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0answers
52 views

Which kind of mean (harmonic, geometric, arithmetic) is best suited for averaging probability ratios?

There are a bunch of examples around on how harmonic mean is more suitable for averaging rates, e.g. speed (when the distance is fixed). But what about probability ratios (p(A)/p(B), i.e. how much ...
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0answers
72 views

Comparison of average variances between groups of different size

I have 3 groups, split by highest degree of education. For each individual in a group, i calculate the variance of her income in a five year window. Let's for simplicity assume that i only do this ...
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1answer
17 views

When there are sub populations within a large population how is it treated?

say I sample 1000 people, 750 of them have a distribution similar to the result produced for all 1000, but 250 produce a distribution which fits entirely into the bottom quartile of the total 1000. ...
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2answers
43 views

Large data set, need PROPER way to calculate averages

I'm working on an excel sheet with 26k lines and need to calculate average costs per KG. I'm not sure which method of calculation to use as each is giving me different results. For example: ...
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0answers
10 views

Estimate average of a dataset when thresholded

Suppose I have a dataset $x_i$ (with $x_i >= 0$) of N samples. I would like to determine the average of the data when the data is limited to some theshold c: $limitedaverage(x,c) = \frac{1}{N} ...
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2answers
281 views

Average and standard deviation of timestamps (time wraps around at midnight)

I have lots of sensor data with timestamps like "2014-09-09 16:10:45" and accompanying sensor readings. To get some insight into these I want to find "unusual" events by looking at the average and ...
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2answers
144 views

Cross tabulation of two variables with resulting average and SD

I am beginner of R software. I am looking for two variables and result cross tabulated but not in the form of frequencies. Could I get help on how to get result as average and standard deviation ...
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4answers
815 views

Good form to remove outliers?

I'm working on statistics for software builds. I have data for each build on pass/fail and elapsed time and we generate ~200 of these/week. The success rate is easy to aggregate, I can say that 45% ...
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1answer
32 views

Calculating Average Waiting Time

I am trying to calculate average wait time for one of the projects that I am working on. The way the project works is that there are pathways that students follow and each pathway has several steps. ...
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0answers
40 views

Average Growth Rate for Year 1 across 5 groups

I have a question that pertains to time series or more likely pertains just to simple math. Lets suppose that I am measuring the number of online visitors to 5 websites on a monthly basis, so I have ...
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0answers
34 views

web analytic: average session length based on visits numbers per minute

At hand, I only have the number of visits per minute for one web page (one day period), is it possible to generate the average session length of such page based on these numbers? Or and references I ...
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0answers
17 views

Local median and local average

I have two pictures representing two laboratory experiments. The idea is that every black band represent one sample. Now I need to use special application to measure the bands intensity, which tell me ...
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1answer
74 views

How to tell which recipe rating is better?

Comparing ratings for recipes I have often wondered is, say, 50 reviews of average 4.5 better than 31 reviews of average 4.8? Orbiting these considerations has been some idea of statistical ...
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0answers
240 views

Calculate the average of hourly data of three sensors

I am trying to calculate the average of hourly data of three sensors but the hourly timestamps of all three sensors are different. How is it possible to measure the average of hourly data of all three ...
2
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0answers
119 views

Averaging z scores when doing a “group by”

I have a dataset where each row is an hourly measurement of certain fields (columns). For each column I then add another column that is its respective z score relative to the entire population. If I ...
2
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0answers
52 views

How do I measure a speedup?

I have two versions of the same program. I apply a number of performance tests to both and measure their response time, for instance https://gist.github.com/valtih1978/d2cc2fe96fbbe1987ada ...
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1answer
14 views

Appropriate weighting for averages

What is the appropriate (or the advantages of disadvantages for each) measure for weighting mortality rates across countries: total population or total number of deaths? For example, if you have ...
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0answers
16 views

Web page scoring function based on readability (LIX)

I'm creating a scoring system for web pages based on their level of readability using LIX. A selection of pages from a web site are crawled and given a score. Besides average and median, what ...
7
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3answers
216 views

Top scoring students across a series of tests

I have a number of students and their scores across a series of tests, all of which have equal importance in my model. I would like to identify the top scoring students (e.g. top 10%). My first idea ...
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0answers
59 views

Is one-way ANOVA appropriate for comparing differences in (calendar) monthly means?

I have data for solute export by month (monthly mean values with year aggregated so that n=12), in one-way ANOVA the groups should be independent. A month of high solute export will probably lead to ...