# Questions tagged [central-tendency]

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### Central Tendency Examples?

Can someone give me separate cases of empirical distributions where: mean does not accurately describe the central tendency. median does not accurately describe the central tendency. mode does not ...
7 views

### What is a term to describe data where the mode represents a large proportion of all observations?

Below are some histograms of continuous variables, where 20-50% of all observations fall on the mode. Are there any terms to describe data that exhibit this unusual concentration of observations on ...
24 views

### Is mode a measure of central tendency?

I am just starting out with my stat basics and that’s where I came across measures of central tendency. In one of the books measure of central tendency is defined as a measure which yield information ...
33 views

### Ratio of median to mean

Is the ratio of the median to the mean of a distribution used for any descriptors e.g. measure of skewness?
22 views

### Checking of Measurement in Grouped Data

My teacher uses the formula below when looking for the median and mode of a grouped data.  median = L_m + c\frac{\frac{n}{2} - F_{m-1}}{f_m} \\ mode = L_m +c\frac{f_m - f_{m-1}}{2f_m-f_{m-1}-f_{m+1}...
29 views

### 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 ...
78 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 (...
28 views

### What are the different ways to measure dispersion in a binary data?

I am working on a research project which requires finding dispersion from a bunch of 0/1 (binary numbers). The idea is to get several different measures and see whether different measures pick up ...
101 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 ...
52 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 ...
24 views

### 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 ...
145 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). ...
49 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?
37 views