you are more likely to find the word "Chav" in the left wing press than the right.
Instead of making stuff up, why not do some research? It's easy using Google.
I've just done a quick check to see how they compare:
The Daily Mail website has 2,240 pages in Google containing the word 'chav', out of a total of 1.8 million.
The Mirror: 615/780,000
The Guardian: 5,230/8.18 Million
Telegraph 798/3.51 million.
So you're right about the Guardian having the most mentions of the word 'chav', but they also have far more pages than the other newspaper websites. And much of the content on their site is generated by users, and is not part of the editorial content, so the result may not represent the newspaper.
Another left wing paper, the Mirror, has the fewest mentions.
Looking at it as a proportion of the paper's pages that contain the word chav, this is what we get:
The Mail - 1 page in 803 mentions 'chav'
The Mirror - 1 in 1,268
The Guardian - 1 in 1,564
The Telegraph - 1 in 4.398
So the worst offender is a right wing paper.