Chapter 5 Histogram

Quantitative variables often take so many values that a graph of the distribution is clearer if nearby values are group together. The most common graph of the distribution of one quantitative variable is a histogram. (Used for continious type of data)

Histogram can be used for continious type of random variables

  • to find out the shape of the distribution of the variable of interest.

  • to detect the outlier.

5.1 How to draw a histogram in base R?

Let’s consider mtcars data set being available in R.

hist(mtcars$mpg)

hist(mtcars$mpg, breaks=10)#Specify approximate number of bins with breaks

5.2 How can we draw histogram in ggplot2?

qplot(mtcars$mpg)
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

If the vector is in a data frame, you can use the following syntax:

qplot(mpg, data=mtcars, binwidth=4)

This is equivalent to:

ggplot(mtcars, aes(x=mpg)) + geom_histogram(binwidth=4)#geom_histogram converts your plot into histogram

ggplot(mtcars,aes(x=mpg))+geom_histogram(binwidth = 4,colour="red",fill="yellow")#with color

#fill fills inside of histogram
#colour defines the color of frame

This way is the better one.

5.3 Drawing Multiple Histogram

By using facet_wrap command, you can easily produce multiple histogram.

ggplot(mtcars,aes(x=mpg))+geom_histogram(binwidth = 4,colour="red",fill="yellow")+facet_wrap("cyl")