# Questions tagged [mode]

The mode is the most frequently occurring value in the data and can be used as a measure of central tendency for categorical data.

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### Data mining for categorical variables that correspond to modes of a continuous variable

Is there a good method or test to find categorical variables associated with modes of a continuous variable? Take the velocity of a car as an example. You would expect there to be at least two modes ...
1 vote
39 views

### Game of guessing or is it! [closed]

I am trying to learn coding and want to create a simple game. The idea is that there are 20 different animals, and you have 5 rooms, each round 5 out of the 20 animals hide in the room, where behind ...
1 vote
23 views

### Predict colours [closed]

I have very basic knowledge in statistical science and appreciate your patience. My problem is if you have a bag with seven differently coloured balls, you are allowed to blindly pick 3 balls every ...
81 views

### Fitting an arbitrary distribution to a given mean/mode/median

Given some combination of mean/mode/median, how would I go about generating a distribution that can fit an arbitrary combination? For cases where mean = mode = median, I would just use a normal ...
94 views

### For log-concave densities, are joint and marginal modes consistent?

Suppose I have a probability density function $\pi(x_1, \ldots, x_n)$, which is the density of a vector-valued random variable $X$ in $\mathbb{R}^n$. Assume that $\pi$ is strongly log-concave, i.e., ...
61 views

### What is the difference between mode and local minima/maxima?

Here are two definitions: In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the ...
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### How to normalize the mode and respective bounds of the confidence intervals (percentages)

I have a dataset of the diet of a species, with the percentages that each individual ate of each prey. My goal is to describe its diet and retrieve the percentage that the species eats of each prey (...
1 vote
190 views

### Most probable value vs maximum of the distribution

Given a distribution p(x), there are two things that can be calculated. Value of x for which p(x) is maximum. Most probable value of x weighted over p(x). Would these two values of x be the same?
56 views

### Verification of proof that a point of symmetry is mode (Casella-Berger 2.27)

I was solving the following problem 2.27 from Statistical Inference by Casella-Berger. 2.27 Let $f(x)$ be a pdf, and let $a$ be a number such that if $a\geq x\geq y$, then $f(a)\geq f(x) \geq f(y)$, ...
178 views

### Most likely counts of outcomes of a multinomial after N trials (mode of multinomial)

Given a categorical random variable $X = \{x_1,x_2,...,x_k\}$ with corresponding probabilities of each outcome $P = \{p_1, p_2,...,p_k\}$ (i.e. a multinomial): What are the most likely counts of ...
1 vote
27 views

1 vote