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No, it isn’t less expensive to install carpet compared to vinyl floors. The cost of installing carpet can range between $3 and $11 per square foot, so it falls just over the cost of installing vinyl flooring, at an average of $3 to $7 per square foot. High-quality carpeting can also range much higher, even up to $20 per square foot.

The cost to install carpet is $1,780 on average for 330 square feet, the size of an average living room. This cost could range from $200 to $5,000, depending on the amount of carpet, material, and type of carpet. 

If you need 500 square feet of carpet, it’ll cost $1,500 to $5,500, while 1,000 square feet of carpet costs $3,000 to $11,000. Polyester is one of the more affordable options, ranging from $1 to $3 per square foot. Wool is a more luxurious option, ranging from $4 to $20 per square foot. 

Yes, carpeted stairs are generally considered safer than stairs with hard surfaces like wood, vinyl, or tile. Carpet provides more traction, which helps reduce the chances of slips and falls, and its cushioning can lessen the severity of an injury if a fall does occur. Hard surfaces often lack the friction needed for a secure tread and can be quite slippery.

However, it's worth noting that some carpets can also be slick, particularly if they are brand new, dirty, or made from certain materials. If any stair surface feels too slippery, traction treads can be added to most materials to increase grip and improve safety.

The average cost to install new flooring is around $3,162, with a typical price range between $1,530 and $4,860. On a per-square-foot basis, you can expect to pay an average of $3 to $22, including installation. Several factors influence the total price, including the flooring material, project size, geographic location, and any special features. Material choice is a significant cost driver; vinyl plank, linoleum, and carpet are on the lower end ($3 to $7 per square foot), while stone, tile, and hardwood are more expensive, with hardwood reaching up to $22 per square foot. Prices can also vary by region, and installing flooring on stairs will add to the cost, typically ranging from $11 to $160 per step.