# 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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### Using Chebyshev inequality

Supposing $X \sim \mathcal{N}(\mu=9,\sigma^2 = 4)$ use Chebyshev inequality to approximate the maximum value of $\mathbb{P}((X\le6) \cup (X>12))$ and compare with exact value.
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### How to discern between results with and without defects using statistics?

I need advice on the statistical method, and I've included some preliminary findings from my dataset, which includes mean, standard deviation, and variance. To distinguish between artifact-related and ...
22 views

### Calculating the first and second moments for the sum of functions of random variables

I am trying to calculate the first and second moments of a sum of $M$ functions, where each function $f(x_{m})$ takes a random variable $x_{m}$ as an argument. I would like to compare the calculations ...
36 views

### Distribution of a double-sum

I have some random variables $X_1, X_2, X_3, ...$ that are normally distributed with mean 0 and standard deviation $\sigma$. I am trying to model a function of these variables that includes a double-...
8 views

### Power Analysis for multiple distributions

I have 3 groups I want to study using a single independent variable. In particular, I wish to know the sample size needed for each group. In the case of having 2 groups, it seems power analysis ...
13 views

### Percentile of a discrete distribution with degenerate scores

I have a ranked dataset of 100 entries, where 10 entries have score 1 and 90 have score 0. How to interpret the first percentile of this dataset? Does this consist of the 10 entries with score 1? If ...
1 vote
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### Is it possible for most (all?) items in a list to lie within one standard deviation of the mean of that list?

Question. Is it possible for most (all?) items of a list to lie within one standard deviation of the mean of that list? Motivation. Fast computations of approximate medians of lists of integers is ...