# Analyzing Homicide Rates Across New York State Cities: A Population-Based Study

September 22, 2023
Dorothy Harris
🇺🇸 United States
Statistics
Dorothy Harris, a distinguished Statistics Assignment expert, holds a PhD in Statistics from Illinois State University. With her robust academic background, she boasts unparalleled skills and extensive experience in solving complex statistical problems.
Key Topics
• Assignment: Analyzing Homicide Rates in New York State Cities
• Problem Description:
• Solution
• Report:
• Discussion:
Tip of the day
News

In our comprehensive study, we meticulously investigate the distribution of homicide rates per 100,000 residents. Through quartile-based population grouping, we reveal intriguing patterns in cities of varying sizes. Our analysis, which includes detailed tables for each group, provides valuable insights into how homicide rates fluctuate in correlation with population. This study offers a profound understanding of the dynamics of crime in diverse urban settings, shedding light on the challenges and opportunities for crime prevention.

## Problem Description:

In this statistics analysis assignment, we delve into the distribution of homicide rates per 100,000 inhabitants across various cities in New York State. Our objective is to explore how these rates are distributed across different population groups and analyze the statistical characteristics of each group.

## Report:

Table 1: Quartiles of the Population of New York State Cities

To initiate our analysis, we first divided the dataset into four population groups using quartiles. The quartiles for the population of New York State cities are as follows:

 Quartiles Population Q1 2,765 Q2 6,595 Q3 17,470

This table shows that:

• 25% of the cities have populations less than or equal to 2,765 people.
• 50% of the cities have populations less than or equal to 6,595 people.
• 75% of the cities have populations less than or equal to 17,470 people.

Table 2: Distribution of Groups

We then categorized the cities into four groups based on these quartiles:

 Group Population 1 <=2,765 2 2,766 to 6,595 3 6,596 to 17,470 4 >=17,471

Now, let's analyze the homicide rates for each group:

Descriptive Statistics of Rate of Murder per 100k for Group 1

Group 1: Cities with Population <= 2,765

• The mean rate of murder per 100,000 is 0.
• The standard error is 0.
• The median, mode, and standard deviation are also 0.
• There is no variance, kurtosis, or skewness, indicating that the rates are constant.

Descriptive Statistics of Rate of Murder per 100k for Group 2

Group 2: Cities with Population 2,766 to 6,595

• The mean rate of murder per 100,000 is 0.68.
• The standard error is 0.39.
• The median is 0.00, indicating that 50% of the cities have a rate of 0.00.
• The most frequent rate is 0.00.
• The standard deviation is 3.85, suggesting some variation.
• The skewness coefficient is 5.69, indicating a right-skewed distribution.

Descriptive Statistics of Rate of Murder per 100k for Group 3

Group 3: Cities with Population 6,596 to 17,470

• The mean rate of murder per 100,000 is 1.11.
• The standard error is 0.33.
• The median is 0.00, indicating that 50% of the cities have a rate of 0.00.
• The most frequent rate is 0.00.
• The standard deviation is 3.22, suggesting some variation.
• The skewness coefficient is 2.88, indicating a right-skewed distribution.

Descriptive Statistics of Rate of Murder per 100k for Group 4

Group 4: Cities with Population >= 17,471

• The mean rate of murder per 100,000 is 2.59.
• The standard error is 0.46.
• The median is 0.00, indicating that 50% of the cities have a rate of 0.00.
• The most frequent rate is 0.00.
• The standard deviation is 4.47, suggesting some variation.
• The skewness coefficient is 2.58, indicating a right-skewed distribution.

## Discussion:

For Group 1, the homicide rate per 100,000 is a constant value of zero, leading to zero dispersion measures. Skewness and kurtosis coefficients are undefined due to the constant values.

In Group 2, most cities have a murder rate of zero, with only three cities showing rates different from zero, ranging from 18.09 to 26.44.

In Group 3, eleven cities have non-zero rates, ranging from 6.32 to 15.00.

In Group 4, forty cities have non-zero rates, ranging from 1.29 to 24.19.

This analysis provides insights into how homicide rates vary across different population groups within New York State cities, showing distinct patterns and variations in the data.

## Related Sample

Explore our comprehensive sample section tailored for Statistics assignments, providing an array of illustrative examples on various topics. Dive into practical demonstrations, elucidating concepts from probability theory to regression analysis, enriching your understanding and refining your skills. Delve into our extensive collection, offering clarity and guidance for tackling statistical challenges with confidence. Elevate your comprehension through diverse samples meticulously curated to facilitate your learning journey.