title: Removing outliers easily in R
body: <p>I have data with discrete x-values, such as</p>
  
  <pre><code>x = c(3,8,13,8,13,3,3,8,13,8,3,8,8,13,8,13,8,3,3,8,13,8,13,3,3)
  y = c(4,5,4,6,7,20,1,4,6,2,6,8,2,6,7,3,2,5,7,3,2,5,7,3,2);
  </code></pre>
  
  <p>How can I generate a new dataset of x and y values where I eliminate pairs of values where the y-value is 2 standard deviations above the mean for that bin. For example, in the x=3 bin, 20 is more than 2 SDs above the mean, so that data point should be removed.</p>