According to our fence installation cost estimator, the average price to install a fence is $2,388. No matter your preferred type, most homeowners choose a six-foot privacy fence. The average minimum cost to install a six-foot privacy fence is $3 per linear foot, with the maximum coming in at $13 per linear foot.Security gates, for those looking for extra protection, on average, cost around $5,000.ccording to our fence installation cost estimator, the average price to install a fence is $2,388. No matter your preferred type, most homeowners choose a six-foot privacy fence. The average minimum cost to install a six-foot privacy fence is $3 per linear foot, with the maximum coming in at $13 per linear foot.