I am trying to have the name show up with the score that relates to that name. So if the highest score is 98 I want Joels name to show up in the display where is says name here.
As names and scores arrays have same .length, you can use same i variable to select item within names array as is used to select item in scores. 
Declare name variable
var name = "";
set name variable
if (scores[i] > highestScore) {
  highestScore = scores[i];
  name = names[i];
}
display name variable
document.getElementById("results")
.innerHTML = "\nAverage score  is " 
          + average 
          + "\nHigh score = " 
          + name 
          + " here with a score of " 
          + highestScore;