# UK Data: Maths and statistics

> Averages, spread, chi-square, regression, primes, factorials, probability, areas and distances

- name: uk.co.reliness/maths-statistics
- version: 1.5.0
- connection class: R0 (autonomous)
- trust: 82/100 flags: no-repository
- quality: 89/100 (new)
- owner: not claimed
- descriptor: https://api.protogrid.dev/v1/servers/uk.co.reliness%2Fmaths-statistics
- tools: https://api.protogrid.dev/v1/servers/uk.co.reliness%2Fmaths-statistics/tools

**An agent can connect right now, no human step.** Remote endpoint, no authentication, reachable on the last probe.

## Connection (mcpServers)

```json
{
  "mcpServers": {
    "maths-statistics": {
      "type": "http",
      "url": "https://ukdata.reliness.co.uk/mcp/maths-statistics",
      "headers": {
        "Authorization": "Bearer ${MATHS_STATISTICS_TOKEN}"
      }
    }
  }
}
```

Placeholders to fill: `${MATHS_STATISTICS_TOKEN}`.

## Trust

- hygiene: 80
- liveness: 99
- freshness: 100
- provenance: 55
- drivers: +dns-namespace +website +reachable +uptime-96% +updated-7d-ago -no-repository
- Derived from observable signals (official registry feed and our own credential-free probes); no code audit performed.

## Quality 89/100 (new)

### protocol: 75 (weight 25)

- warn `protocol.modern`: newest supported version is 2025-11-25; 2026-07-28 not supported, older versions are deprecated until 2027-07-28
- n/a `protocol.stateless`: only applies to 2026-07-28 servers
- pass `protocol.transport`: streamable HTTP
- n/a `protocol.list_ttl`: only applies to 2026-07-28 servers

### authorization: n/a (weight 15)

- n/a `auth.prm`, `auth.as_metadata`, `auth.cimd`: no remote uses OAuth
- n/a `auth.secret_in_url`: no templated URL

### tool hygiene: 100 (weight 30)

- pass `tools.descriptions`: every tool has a description
- pass `tools.description_length`: descriptions are concise
- pass `tools.schemas`: every tool has an object input schema
- pass `tools.annotations`: 22 of 22 tools declare readOnlyHint or destructiveHint
- pass `tools.directory_hints`: every tool declares readOnlyHint, destructiveHint, idempotentHint and openWorldHint
- pass `tools.token_cost`: about 3,373 tokens to load every tool
- pass `tools.api_dump`: tools are not a one-to-one API dump
- pass `tools.hidden_text`: no hidden text in tool names, descriptions, schemas or annotations

### stability: n/a (weight 15)

- n/a `stability.changes`, `stability.rug_pull`, `stability.new_links`: tool history recorded for 6 of the 7 days needed

### dependencies: n/a (weight 15)

- n/a `deps.known_vulns`, `deps.mcp_sdk_version`, `deps.resolvable`: no npm or PyPI package

- tools: 22, about 3,373 tokens to load them all
- tool set hash: 548f5085ee4eafa596a4ad8d98875768
- badge: [![protogrid quality](https://protogrid.dev/badge/uk.co.reliness/maths-statistics.svg)](https://protogrid.dev/servers/uk.co.reliness/maths-statistics)
- Checks run on what our credential-free, read-only probes observe; tools are never called and no code audit is performed.

### Tool changes

_No tool definition changes recorded._

## Remotes

- https://ukdata.reliness.co.uk/mcp/maths-statistics (streamable-http, auth none, reachable true, uptime30d 0.962963)

## Packages

_none_

## Tools (22)

- `average`: Calculates the arithmetic mean (average) of a list of numbers by summing all values and dividing by the count. (cost: 1 credit)
- `calculate_area`: Calculates the area of geometric shapes including circle (πr²), triangle (½×base×height), rectangle (length×width), and square (side²). Returns area in square units. (cost: 1 credit)
- `calculate_clock_angle`: Calculates the smaller angle in degrees between the hour and minute hands of an analog clock given the time. Returns angle between 0 and 180 degrees. (cost: 1 credit)
- `calculate_distance`: Calculates the great-circle distance between two geographic points using the Haversine formula. Returns distance in kilometers, miles, or nautical miles. (cost: 1 credit)
- `calculate_median`: Calculates the median (middle value) of a list of numbers. For even-length lists, returns the average of the two middle values. (cost: 1 credit)
- `calculate_standard_deviation`: Calculates the population standard deviation of a list of numbers using the standard formula: sqrt(Σ(x - μ)² / N). (cost: 1 credit)
- `chi_square_independence_test`: Performs a Chi-Square test for independence on a 2x2 contingency table. Returns the chi-square statistic, p-value, and whether to reject the null hypothesis at the given significance level. (cost: 1 credit)
- `cosine_similarity`: Calculates the cosine similarity between two vectors, returning a value between -1 and 1 where 1 indicates identical direction. (cost: 1 credit)
- `create_histogram`: Creates a histogram by counting the frequency of data points falling into specified bins or ranges. Returns the frequency count for each bin. (cost: 1 credit)
- `dice_roll_probability`: Calculates the probability of rolling a specific sum with a given number of dice, each with a specified number of faces. (cost: 1 credit)
- `euclidean_distance`: Computes the Euclidean distance between two points in a 2D plane using the formula: sqrt((x2-x1)² + (y2-y1)²). (cost: 1 credit)
- `factorial`: Calculates the factorial of a non-negative integer n, which is the product of all positive integers less than or equal to n. Returns n! = n × (n-1) × ... × 1. (cost: 1 credit)
- `fibonacci`: Generates the first n numbers in the Fibonacci sequence, where each number is the sum of the two preceding ones, starting with 0 and 1. (cost: 1 credit)
- `greatest_common_divisor`: Computes the greatest common divisor (GCD) of two non-negative integers using the Euclidean algorithm. (cost: 1 credit)
- `is_power_of_two`: Checks if a number is a power of two (2^n for some non-negative integer n). (cost: 1 credit)
- `is_prime`: Checks if a positive integer is a prime number (only divisible by 1 and itself). Returns false for numbers less than 2. (cost: 1 credit)
- `least_common_multiple`: Computes the least common multiple (LCM) of two positive integers using the relationship LCM(a,b) = (a × b) / GCD(a,b). (cost: 1 credit)
- `linear_regression_prediction`: Predicts the y-value for a given x-value using simple linear regression (least squares method) fitted to the provided data points. (cost: 1 credit)
- `permutation_count`: Calculates the number of permutations P(n,k) = n!/(n-k)! representing ordered arrangements of k elements selected from n elements. Returns the count as an integer. (cost: 1 credit)
- `polygon_area_shoelace`: Calculates the area of a polygon given its vertices using the shoelace formula (also known as the surveyor's formula). (cost: 1 credit)
- `probability_consecutive_rolls`: Calculates the probability of rolling a specific value consecutively for a given number of rolls on a die with specified sides using the formula (1/num_sides)^num_rolls. Returns probability as a decimal between 0 and 1. (cost: 1 credit)
- `solve_quadratic`: Computes the real and complex roots of a quadratic equation ax² + bx + c = 0 using the quadratic formula. Returns both roots or indicates if no real solutions exist. (cost: 1 credit)