---
title: "Homework 1"
author: "Your Name"
date: "Date"
output: html_document
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = TRUE) ## set code chunk defaults. Right now, echo=TRUE by default!

## Code to load data here

```

This basic R markdown file has some text, inline code, and code chunks! 

# Example Section

## Code Chunks


```{r}
set.seed(1)
norm <- rnorm(100)
hist(x=norm,xlab="X Axis Name",ylab="Count",main="Histogram of 100 observations from a Standard Normal")
```


## Text and Inline Text 

The sample mean of the data plotted above (rounded to 3 decimal points) is `r round(mean(norm),3)` and the variance is `r round(var(norm),3)`. 

What's the relationship between standard deviation and variance?

$$ \text{Standard Deviation}(X) = \sqrt{\text{Variance}(X)} $$

The standard deviation of the data plotted above is `r round(sd(norm),3)`.