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Questions tagged [statistics]

For questions that relate to probability or measurements, either outputting or parsing.

14
votes
25answers
1k views

Standardize the Samples (Compute the z-Score)

Given a list of floating point numbers, standardize it. Details A list \$x_1,x_2,\ldots,x_n\$ is standardized if the mean of all values is 0, and the standard deviation is 1. One way to compute this ...
5
votes
3answers
444 views

Ordinary Least Squares Regression

I am quite surprised that a variant of linear regression has been proposed for a challenge, whereas an estimation via ordinary least squares regression has not, despite the fact the this is arguably ...
17
votes
4answers
390 views

Cross-Alphabetic Characters

Background I saw this very interesting Venn Diagram on wikipedia: https://simple.wikipedia.org/wiki/Alphabet#/media/File:Venn_diagram_gr_la_ru.svg It shows the letters (physical shapes) in different ...
23
votes
22answers
2k views

Frequency Distribution of Mixed Dice Rolls

A follow-up to this challenge Given a set of mixed dice, output the frequency distribution of rolling all of them and summing the rolled numbers on each die. For example, consider ...
7
votes
4answers
254 views

Find the smallest number of participants with resulting percentages

Programs often list outcome statistics, such as this: 54% of participants received an award 69% of participants got a promotion 85% of participants increased their salary These percentages are the ...
16
votes
32answers
2k views

An Array of Challenges #3: Moving Averages

Note: This is #3 in a series of array-manipulation challenges. For the previous challenge, click here. Moving Average of a List The moving average of a list is a calculation resulting in a new, ...
13
votes
17answers
1k views

Ten-row bar chart

This is Hole-1 from The Autumn Tournament of APL CodeGolf. I am the original author of the problem there, and thus allowed to re-post it here. Given a list of numbers, produce a horizontal bar chart ...
23
votes
22answers
2k views

Frequency Distribution of Multiple Dice Rolls

Given two positive integers a and b, output the frequency distribution of rolling a b-sided ...
13
votes
5answers
354 views

Rank Correlation Coefficient

The usual correlation coefficient (in 2d) measures how well a set of points can be described by a line, and if yes, its sign tells us whether we have a positive or negative correlation. But this ...
7
votes
4answers
569 views

Let's play POKE!

Poke is a really simple incomplete-information game. It's like "Poker", but simpler. At the start of every round, each player is dealt a hand. To simplify things, a hand is a uniformly distributed ...
27
votes
5answers
2k views

Fake Statistics

If you're going to invent some fake news, you'll want to fabricate some data to back it up. You must already have some preconceived conclusions and you want some statistics to strengthen the argument ...
32
votes
54answers
3k views

Compute the Median

Challenge Given a nonempty list of real numbers, compute its median. Definitions The median is computed as follows: First sort the list, if the number of entries is odd, the median is the value in ...
16
votes
16answers
515 views

Compute the Wilson score interval

The Wilson score interval is a confidence interval of the probability of success, based on the proportion of successes in a set of Bernoulli trials (a Bernoulli trial is a trial in which exactly two ...
3
votes
3answers
167 views

Correlation Coefficient of Words [closed]

This is going to be relatively quick... Challenge Given a lower-case word as input, calculate the Pearson's Correlation Coefficient between the letter position of the word (nth letter within the ...
7
votes
5answers
469 views

Fun with strings and string lengths

Introduction Inspired by Dyalog Ltd.'s 2016 student competition. The challenge there is to write good APL code, but this is a code-golf and it is open to all languages. Derived from this closed ...
26
votes
22answers
1k views

Interquartile Mean

Task Given (by any means) a sorted floating point dataset, return (by any means and within 1‰ of the correct value) the interquartile mean. One possible algorithm Discard the lowest and highest ...
30
votes
42answers
3k views

Mean bits: an average challenge

Given an integer N >= 1, output the mean number of bits in an integer from 0 to N - 1 Specification The output can be calculated as the sum of the number of bits in the binary representation of each ...
-2
votes
2answers
195 views

Restricted average (arithmetic mean) – i.e. without obvious built-ins [closed]

Introduction The arithmetic mean is defined as being equal to the sum of the numerical values of each and every observation divided by the total number of observations. Symbolically, if we have a ...
13
votes
1answer
278 views

Iterated Moving Average

If we have a list, say the list [9, 2, 4, 4, 5, 5, 7], we can do a moving average across it. Taking a window of say, 3 elements, each element is replaced by a ...
11
votes
6answers
913 views

A Free Sample of Autocorrelation

Consider a 1-dimensional, real-valued vector x that represents observations of some process measured at equally spaced intervals over time. We call x a time series. Let n denote the length of x and ...
34
votes
2answers
1k views

The PPCG Handicap System

As we all know, meta is overflowing with complaints about scoring code-golf between languages (yes, each word is a seperate link, and these may be just the tip of the iceberg). With so much jealousy ...
7
votes
1answer
1k views

Calculate the average and standard deviation, rubiks cube style

Introduction When solving a rubiks cube, one often write down the times like this 11.91, (11.28), (12.32) This is called a average of 3, while a average of 5 ...
19
votes
26answers
3k views

Calculate Standard Deviation

Challenge Given a list of numbers, calculate the population standard deviation of the list. Use the following equation to calculate population standard deviation: Input The input will a list of ...
9
votes
9answers
649 views

Calculate the correlation coefficient

Given a series of numbers for events X and Y, calculate Pearson's correlation coefficient. The probability of each event is equal, so expected values can be calculated by simply summing each series ...