# Questions tagged [statistics]

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

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6 votes
6 answers
963 views

### Critical Calculations

Background In the game stick ranger, there is an item which grants the character the ability to get critical hits. Each time a projectile hits an enemy, it has some probability to be a critical hit (...
• 4,107
12 votes
6 answers
610 views

• 43.8k
7 votes
4 answers
690 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 ...
• 1,440
11 votes
28 answers
2k views

### Weighted average - the pressup trend problem

Let's say that this array is how many press-ups I've achieved each day in the last 28 days: ...
• 11.8k
17 votes
4 answers
464 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 ...
• 1,597
24 votes
22 answers
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
4 answers
336 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 ...
17 votes
36 answers
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, ...
• 14.6k
13 votes
17 answers
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 ...
• 30.1k
23 votes
22 answers
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
4 answers
413 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 ...
• 43.8k
7 votes
4 answers
720 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 ...
• 1,582
29 votes
7 answers
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 ...
• 71.9k
41 votes
66 answers
4k 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 ...
• 43.8k
15 votes
16 answers
681 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
3 answers
204 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 ...
• 7,501
8 votes
5 answers
524 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 ...
• 30.1k
26 votes
25 answers
2k 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 ...
• 30.1k
31 votes
44 answers
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
2 answers
243 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 ...
• 30.1k
13 votes
1 answer
480 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 ...
• 25.7k
11 votes
4 answers
530 views

### Cause maximal disruption to a Straw Poll

Context Straw Poll is a website that is meant for the creation of simple/informal polls. Provided with a list of options, the user can select their choice(s), and the votes are tallied up. There's ...
• 29k
12 votes
6 answers
1k 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 ...
• 24.6k
36 votes
2 answers
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 separate link, and these may be just the tip of the iceberg). With so much jealousy ...
• 9,466
10 votes
2 answers
6k 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 ...
21 votes
34 answers
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 ...
• 23.3k
8 votes
9 answers
727 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 ...
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