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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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### Summarizing “percent error” for several data points

this is a pretty simple question, but ive never taken a stats class in my life. i have a series of measurements, e.g., 4.5, 6.7, and 8.2, and the "correct" values, e.g., 4.6, 6.5, 8.0. I want to ...
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### Calculating an average

Hi I’ve got a quick question. On statistics. I ran a survey in which I asked respondents how many hours of quality time they spend with their family per week . I also asked them what percentage of ...
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### PCA as scaled average of original variables

Let $X_i=(x_{i1},...,x_{ip})$ be a vector of $p$-dimensional $n$ observations. Suppose that we apply principal component analysis and find the $p$ principal components. Also, suppose that the $p$ ...
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### Average of marks in examinations

Is it statistically correct to find out final marks of a student in a paper by taking arithmetic mean only of 4 valuations of a single paper without an answer key, or any rectification measures for ...
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### Estimating the population median from a kernel density estimator

I have a 1-d kernel density estimate in the form of two vectors: x_grid is a vector of x-values at which the density function was sampled ...
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### How to penalize for empty fields in DataFrame?

I have to calculate the consistency of racing car drivers during the whole season. My DataFrame consists of 10 columns (10 circuit names) and for each of those columns I have the standard deviation in ...
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### Statistical methods for assigning weights based on rank differences?

I have encountered methodological problem in my pursuit of my master's degree, and I hope you can help! I know exactly what I want to do, but I do not know which statistical area this is related to. I ...
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### Assumption testing for a large amount of individual regression models and averaging R-squared?

I am running the following model for my thesis, a simple regression: \begin{equation} y_{i,t} = \alpha_t+\beta_tx_{p,t}+\varepsilon_{i,t} \end{equation} where Y is an observed variable (...
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### Statistical uncertainty in average of continuous variable, where values are not expected to be the same

I have been trying to understand statistical uncertainties on measurements made, I have found many partial sources, but they seem to either deal with simply counting whether something happened or not ...
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### How to weight values for a weighted average

I have 100 answers regarding production times in minutes of a certain product from 100 manufacturers around the country. I also know if these companies have met any of the 3 quality standards relating ...
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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 ...