# Questions tagged [descriptive-statistics]

The area of statistics that provides descriptions of data, may it be samples or the population. This includes graphical representations and numerical indicators. No information is inferred from samples about the population, as in inferential statistics.

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### Statistical methods to compare 21 theoretical values to experiments

I am testing a theoretical model to compute an entity called the g-shift of diatomic molecules (the g-shift for a given diatomic molecule is expressed as a simple scalar value). I have calculated the ...
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### Uncertainties in measurements widen the normal distribution.

In redistricting (gerrymandering) analysis, a state is divided into districts where district vote shares are written in terms of one of two parties, so if district #1 has a vote share of 40%, it means ...
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### Calculate contributions to the change of ratio a/b when be is the sum of a plus other variables

I would like to know how to calculate the change contribution to a ratio a/b where b is equal to a plus other variables: ...
1 vote
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### Average customer value

I have a table with customer purchase data. |customer | month | Purchase amount | number of days shopped | |A | jan | 200 | 5| |A | feb | 250 | 7| | A |...
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### Unclear about the definition of "mutually exclusive"

Google says, "mutually exclusive is a statistical term describing two or more events that cannot happen simultaneously." But when we say that $n$ events are mutually exclusive, we mean that ...
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### distribution of sample mean to sample standard deviation

Noting this question, it is known that the sum of squares of independent identically distributed gaussian random variables is a Noncentral chi-squared distribution. That is great and all, but what ...
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### Converting a multivariate linear correlation into a univariate one (predicting real estate prices in NY)

I am building a prediction model of real estate properties in New York based on a few inputs: Area (size) of the property Year it was built Number of bedrooms Number of parking spots The data is ...
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### Weighted average value for five-point scale survey question

I have a survey question which has response choices on a 5-point scale. The response choices are: Not at all, Barely, A bit, Almost always, Completely. We've assigned a value to each response, ranging ...
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### How to estimate the best variance-proxy of a sub-Gaussian distribution from data?

Suppose we have $N$ independently identically distributed (i.i.d.) samples $X_1,\cdots,X_N$ generated from a sub-Gaussian random variable $X \sim \mathbb{P}$. Then by definition there exists the ...
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### Fitting a line to the outermost plot on a graph

I am plotting the nonlinear regression on some fatigue data. My goal is to create a line that adheres to the slope line (in red). This line should sit beneath the lowest point on the left side of the ...
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### Comparing statistical features extracted from time series using correct distance metrics

I would like to cluster 400 car rental demand time series (small positive valued) based on the following 7 statistical features: entropy, number of mean crossings, 95th percentile, root mean squared, ...
2k views

### Strange distribution of movie ratings

I like math but I also like movies. I have been collecting movies all my life. My collection is rather huge: almost 25.000 movies. Being also a developer I was able to create my own online catalogue ...
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### How did the concept of quartile and Inter-quartile Range came into existence?

What is the sequence of historical events that led to the creation of the concept of quartile and Inter-quartile Range? And while calculating IQR, why do we consider the 75th percentile as the upper ...
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### Is the following definition of Inter-quartile Range or IQR correct? If yes, then is there any published literature to support it?

It is the difference between the upper and lower quartiles; hence, it does not include extreme values present in the data. To calculate IQR, first, the data should be arranged in ascending order. Now ...
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### Statistical indexes order in an asymmetrical distribution

I was wondering what's the order between mode, median, arithmetic mean, geometric mean and harmonic mean in a distribution with positive skewness and in another with negative skewness. Which are the ...
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### Difference between forecast, estimation, projection, prediction?

Could someone explain me the difference between those terms. For me all of them are somehow synonymous. Thanks in advance!
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### Median definition

Definition 6.1.1 (Median): We say that $c$ is a median of a random variable $X$ if $\mathbb{P}(X≥m)≥ 1/2$ and $\mathbb{P}(X≤m)≥ 1/2$. (The simplest way this can happen is if the CDF of $X$ hits $1=2$ ...
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### How do I use a chi squared test for homogeneity/other statistical method for this situation?

I am performing analysis on data of ~8,000 patients who have COVID. This is my scenario. I have information of each patient being classified as either severe or non-severe in how COVID-19 affected ...
1 vote
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### Median:Mean::Percentile:?

Here is a simple question that I am hoping has a simple answer. The median and mean are both estimates of the central tendency of a random variable. They both have different advantages in different ...
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### By comparing boxplots, how to tell which sample is more likely to have outliers?

For example, from three boxplots, like these how could I tell which one is more likely to have outliers? By outliers, I mean values below $Q1 - 1.5 * (Q3-Q1)$ or above $Q3 + 1.5 * (Q3-Q1)$
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