Add second year
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title: "Assignment 2"
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author: "Andrew Hayes, id = 21321503"
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date: "`r format(Sys.time(), '%d %B, %Y')`"
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output:
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word_document: default
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pdf_document: default
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---
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## Starting with R-Markdown
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In the following R-Markdown document some data are created followed by calculation of some summary statistics and display of graphical summaries. All the results are embedded for you in the report when you `knit` the document into a report.
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The following `R` chunk creates a dataset in a vector and stores it in `R`'s memory using the name `x`. You will have been given some directions in how to adapt this dataset on Blackboard.
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```{r}
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x = c(10, 23, 14, 12, 34, 26, 28, 24)
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```
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The mean of this data is
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```{r}
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mean(x)
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```
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The summary statistics (minimum, maximum, $Q_1$, median, mean and $Q_3$) obtained from the `summary()` function are:
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```{r}
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# Insert your code here
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summary(x)
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```
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The five number summary which uses Tukey's method to estimate the lower and upper quartiles ($Q_1$ and $Q_3$) is given below. Notice the small differences in these quartiles.
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```{r}
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# Insert your code here
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fivenum(x)
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```
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The boxplot of the data below also uses Tukey's method. I would describe the shape of the distribution using the boxplot as right-skewed, as the tail on the right is significantly longer than the tail on the left. However, the median is offset to the right of the box, which would normally indicate a left-skew. One possible reason for this inconsistency is the small size of the dataset used for this boxplot, as boxplots are not very accurate for small data sets.
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```{r}
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boxplot(x)
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```
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A histogram is given below. I would describe the shape of the distribution using the histogram as right-skewed, as it peaks on the left, and decreases as it goes to the right.
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```{r}
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hist(x)
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```
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Use the help system in `R` to learn how to use the `breaks` argument in the `hist` function to include around 10 breakpoints. To use the help system type `help(hist)`
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```{r}
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hist(x, breaks = 10)
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```
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