The cheapest size of a violin is typically the 1/16th size. This size is the smallest available for children and beginners, making it more affordable due to the reduced materials and craftsmanship required. According to a study by the Violin Society of America, the average cost of a 1/16th size violin is around $150 to $300, which is significantly lower than the prices of larger sizes. The smaller size requires less wood, less varnish, and simpler design elements, all of which contribute to the lower cost. Additionally, the demand for smaller violins is higher, which can also drive down prices.