While a wooden fence offers more privacy and security, the costs of labor and materials will be more. 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.o 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.