Strictly voting

I wanted to make sense of why some of the dancers on Strictly Come Dancing ended up in the dance off when they were in the middle of the leaderboard after the judges scores. 

The final scoring combines the judges decision with the public vote. It seems, the important numbers are the rankings (in this case 1 to15). The rankings of the judges are added to the rankings by the public to give the final ranking and the last two on the list face elimination. 

The public are fickle and will vote on popularity rather than the quality of performance which explains why middle of the list dancers get into the dance off whilst ones at the bottom with the judges survive. 

The other thing I've noticed is the judges scoring. Three of the four judges gave out mostly 6s and 7s this week making the scores close (only 2 points between 10th and 15th places and the bottom 3 on the same score). Only the top 3 received consistent 8s across the board. 

More importantly, apart from one 5 from Shirley Ballas, it was only Craig Revel Horwood that dared to hand out realistic 4s and 5s to those who were off the mark this week. Without Horwood's 4s and 5s there would nothing to separate the bottom five on the leaderboard from the rest in the middle. 

Tony Adams lies in 15th place but will he go? We shall see.

UPDATE

For Tony Adams to avoid the dance off, he must have been placed at most 13th by the public to give him a position above the bottom two.