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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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7 views

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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16 views

What's the variance for values with probabilities?

Given some values, we can get the mean and variance using: $\mu =\frac{\sum x_i}{n}$ $\sigma^2=\frac{\sum (x_i-\mu)^2}{n}$ However, if each value $x_i$ has a probability $p_i$, the mean will be: $\...
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37 views

What does X²(1, N=100) =6.83, p =0.009 mean?

I am reading scientific research (Link) and stumbled upon the following notation: X²(1, N=100)=6.83, p =0.009. An explanation is given as follows: ...
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6 views

Statistical measure for the experiment(Siri vs keyboard)

I would like to ask about statistic measures in my experiment. I'm stuck on deciding measures for a few days, so I would really appreciate it if you help me with this. I did an usability experiment ...
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14 views

Method for Calculating Average Square Footage of Single Floor for Homes in US

I am working on a project that requires me to estimate the average square footage of a single floor for houses in the US. I am interesting in profiling the 95th percentile and what square footage this ...
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5 views

ROA and ROE calculation

I am performing a regression in Python, and I tried to perform a formula using the following variables: Net_income,Total_equity ...
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1answer
59 views

Should I delete rows or take average of it?

So I got 2 data files. First one is energy intake (in watts) for every minute in a household and the other contains the average temperature in the house for every 5 minutes. Each file is from the ...
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31 views

Binomial Distribution:equivalency between the average and proportion?

Another user and I are having a debate regarding properties of a binomial distribution, most notably the relationship between the proportion and the mean. The central prompt is in quotations: “I ...
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9 views

Calculating average: can you use a selective process?

Our city has 33 reporting districts that they use to report crime for any given year. When issuing an alcohol license, the business address is considered to be in a "high crime" area if the crime ...
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84 views

Defining Average treatment effect (ATE) & Average treatment effect on the treated (ATT)

I have some questions regarding the following theoretical model and finding the average treatment effect (ATE) and average treatment effect of the treated (ATT). I'm not sure if I'm defining them ...
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14 views

Calculating employee performance via standard deviations from the mean per day, averaged to larger timeframes

I have a dataset that includes performance of employees on various projects, day by day. The dataset has hours worked for the day, and number of widgets created that day. We're interested in looking ...
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39 views

Which average to use to summarise multiple MAPE values?

Suppose you have a model, evaluated using mean absolute percentage error (MAPE), that has made predictions on 1000 different examples. Each example will have an associated MAPE that reflects how well ...
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5 views

Weighted average based of incoming volume and AHT per case in seconds

I want o calculate the weighted average for the AHT column in the below data Date Volume AHT per case in sec 1/2/2019 7188 44 sec 2/2/2019 453 123 sec 3/2/2019 345 563 sec Like this i ...
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19 views

Survey Question Validity

I have a survey that asks the user to report their debt from their undergraduate education and their debt from their graduate education. I intend to add these two averages to measure their average ...
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9 views

Predict with average values of dependent features

I created linear regression model to predict story points by individual team member (in sprint). Since story points are relative by sprint team, I trained my model after scaling story points to 0 - 1 ...
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2answers
43 views

Expressing Confidence Intervals as a percentage for simplicity

I am running some stats on a feeding experiment where 6 rodents were given the choice between control seeds and treated seeds for 12 hours. seed count consumed was the response variable. I've analyzed ...
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26 views

How to combine multiple (facial recognition) feature vectors into one feature vector

I am writing a facial recognition library in C++ which performs inference to generate feature vectors. When I provide my machine learning model with image data, I receive a features vector of length ...
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1answer
19 views

Two formulas giving slightly different output

I am struggling to find a proper explanation why the two methods that I use for finding the difference in EXCEL are giving me two slightly different numbers. The idea behind the task is that we have ...
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33 views

Average of correlations over time

I currently work on my bachelor's thesis and analyse the correlation between 13 countries over a time period of 117 years. I built a correlation table and now want to say somethin about the average ...
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24 views

Choosing the best aggregation location measure

I'm trying to analyze a granular dataset that is composed as follows: ...
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1answer
26 views

Proof that covariance of RV and group average is less than variance of RV

I have a random variable $X_i$ and a group of $N_j$ other random variables that includes $X_i$. Let's just call this group $J$. There are no distributional assumptions made on these RVs (other than ...
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1k views

What is the name for the average of the largest and the smallest values in a given data set?

What do you call a statistical mean that is calculated from upper and lower extremes in any given dataset? For example, if you have a set: ...
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29 views

calculate the average visits and running days

What do I've got? I have received a huge data from a real estate portal. It contains more than 50 million rows and data for over 10 years. In addition to the rental prices and other parameters (...
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12 views

Average with ability to configure importance of peak values

I have list of numbers (about 200 numbers), where almost all numbers are in range of 100 - 10000, but some numbers (very few, ...
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2answers
36 views

two ways to compute average prices

I am doing some simple math computation. I have three variables: Goods, total price, and total unit (See below). All I wanted to do is to compute the average price per unit. Method 1 I computed ...
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61 views

Minimum number of observations in order to trust a difference?

I'm doing an experiment to measure a very small number. For example, first I expect a measurement to be 10.0005 and then after introducing a variable, I expect the next measurement to be 10.0007 ...
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1answer
30 views

Calculating Average trend with possible missing data

I am conducting a research on a group of subjects with population about 90. For each of them I have a time-serial datapoints such as: ...
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3answers
22 views

Determining which methods to use to find how close a day is from the average pattern

Would anyone have advice on how to determine how close a day is to matching the average pattern of all days? I would like to take each day of the year and evaluate how close that day is from the ...
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38 views

Is the weighted average of growth rates equal to the growth rate of a weighted average?

More formally, is the following statement true? Let $\alpha$ be between 0 and 1. \begin{equation} \alpha\frac{(A_t - A_{t-1})}{A_{t-1}}\ + (1-\alpha)\frac{(B_t - B_{t-1})}{B_{t-1}}= \frac{(\alpha ...
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53 views

How to calculate weighted average of hourly sales in a day

I have hourly sales data & want to aggregate it to a day level. Out of 24 hours, we are classifying 6 hrs as peak hours and 18 hrs as non-peak. Assume peak hr sales for a day as: $X_1,X_2,\ldots,...
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26 views

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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45 views

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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34 views

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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1answer
193 views

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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15 views

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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50 views

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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18 views

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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1answer
40 views

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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15 views

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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84 views

Weighted average of averages or average of weighted samples?

I have to estimate the average amount of goods that will be produced by machines per resource unit. Each machine will be working in one of two modes (A or B) and I know their proportions ($p_A$ and $...
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2answers
75 views

The correct formula for weighted average

The formula for a weighted average is: sum of values, multiplied by respective weights, divided by count of values. Right? That’s what I thought it was until I saw other variations, which are ...
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21 views

Given an average and a maximum, how determine the minimum range

Suppose that we have $k$ non-negative values. We know the average $A \in \mathbb{N}$ of these values and we know that the maximum value is $M$ (not necessarily $\in \mathbb{N}$) we don't know the ...
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13 views

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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117 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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39 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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1answer
35 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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266 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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28 views

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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24 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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35 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 ...