# Questions tagged [central-tendency]

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### Descriptive Statistics for Zero-Inflated Dataset

Just as titled, I'm curious as to what should you choose to represent a measure of central tendency for a zero-inflated vector or such. My background says go "mean" if normally distributed, &...
• 295
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### How do I minimize the difference between development and production data after normalization relative to measures of central tendency?

I think that normalization of data is performed assuming that the samples you train on are "representative" of real-world or "production" data. This means I have to constantly ...
13 views

### What is the best way to average a data set that mostly lies in extremes

I apologise that the question in the title is a little ambiguous but it is hard to word in a single sentence. Say I have a set of data, but it is found that a data point is either quite low or quite ...
437 views

### Is winsorizing limited to the usage of a certain percentile cutoff?

The Context My dataset consists of 68 groups, each with 4 data points inside it. As means of a robustness test, I am looking to see how the type of average/mean I use impacts the analysis that I will ...
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2k views

### Statistics to use on Bimodal data

What summary statistics, mean, median, standard deviation, etc. should be used on a skewed, bimodal, dataset and why? These are almost U shaped in a histogram layout with a slight preference for lower ...
• 17
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### If we numerically code the categories of an ordinal variable, then can we determine its mean as in Likert scale?

Can anyone clear my doubts about 2 things. Doubt1)A dataset of Ordinal type having 2 modes, then does it mean that such dataset have 2 central locations ? Doubt2)As We know that we can not determine ...
24 views

### finding central tendency

The following table presents frequency distribution of teachers of 1 year: Rank ----------Frequency Professor ------------7 Assoc Professor ------4 Asst Professor--------3 Instructor -----------5 ...
932 views

### Adding Cumulative Means and Variances

I would like to get cumulative data about opioid use after surgery on day 2 of use. I have the mean, SD for day 1 and for day 2. My understanding for the means is I can add them together. When it ...
• 101
48 views

### "Media" as a measure of central tendency

I've just read a meta-analysis that used 'media' as a measure of central tendency: "The media of skin side events related to PPE was 75.13%". I've never come across the use of "media&...
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1 vote
62 views

### Mode for equal consecutive frequencies

I'd like to calculate the mode for the frequency distribution table: ...
• 11
1 vote
276 views

### Calculating the trimmed mean as an estimator

My book provides the following steps to calculate the $100 \alpha$ percent trimmed mean for a sample data of $n$ measurments: 1-Order the measurments. 2-Discard the smallest $100\alpha$ percent and ...
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### Central Tendency of Cauchy distribution

How do you measure the central tendency of a cauchy distribution? I'm aware that the mean is not a good measure of the central location for cauchy. Can I use median? I've been searching with the key ...
• 1,041
214 views

### Highest Density Interval for the measure of central tendency

When samples are skewed, mean is not a good estimation of central tendency. But instead, median is a better choice. For cauchy distribution, I heard that there's a completely different estimator (...
• 1,041
2k views

### What is the relationship between: the first raw moment, location, expected value, mean in general, arithmetic mean for any sensible distribution? [closed]

I am a bit confused by the several sources telling that: the first raw moment is by definition the arithmetic mean expected value of any random variable is exactly the arithmetic mean The expected ...
73 views

### Measures of central tendency for right-skewed size distributions

Suppose we are looking at a right-skewed size distribution such as the distributions of income, casualty losses, or flood sizes, and we want to look at some alternative measures to jointly represent ...
• 3,127
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### Is there a term to refer to a weighted mean that's weighted by a function of percentile (using a kernel)?

I came-up with a type of central tendency which is a weighted mean. The weighting is based on percentile, with values closer to the median having a higher weight. It's similar to the idea of a ...
1 vote
726 views

### Distribution of the inverse square of a non-standard normal random variable multiplied by a constant

It's a somewhat complicated situation and sorry about my phrasing, but it's my first time here. Suppose I have random normal variable $X$ ~ $N( \mu, \sigma^2)$, which represents some true effect(s). ...
• 13
988 views

### Measure of dispersion around the mode

I usually associate the standard deviation with the mean and the IQR with the median. Is there a measure of dispersion typically associated with the mode?
91 views

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