A display system comprising: a display apparatus; and a wireless terminal configured to: receive a recognition signal of the display apparatus from the display apparatus; compare a strength of the recognition signal received from the display apparatus to a threshold value; in response to determining that the strength of the recognition signal is greater than or equal to the threshold value, output a probe request comprising Wi-Fi Protected Setup product identification number information of the wireless terminal to the display apparatus; and in response to determining that the strength of the recognition signal is less than or equal to the threshold value, display that strength of the recognition signal is weak, wherein the display apparatus is configured to: receive the probe request from the wireless terminal; compare a strength of the probe request received from the wireless terminal to the threshold value; in response to determining that the strength of the probe request signal is greater than or equal to the threshold value, establish the connection to the wireless terminal based on the WPS PIN information of the wireless terminal included in the probe request; and in response to determining that the strength of the probe request signal is less than the threshold value, display that the strength of the probe request signal is weak. a display apparatus; and a wireless terminal configured to: receive a recognition signal of the display apparatus from the display apparatus; compare a strength of the recognition signal received from the display apparatus to a threshold value; in response to determining that the strength of the recognition signal is greater than or equal to the threshold value, output a probe request comprising Wi-Fi Protected Setup product identification number information of the wireless terminal to the display apparatus; and in response to determining that the strength of the recognition signal is less than or equal to the threshold value, display that strength of the recognition signal is weak, wherein the display apparatus is configured to: receive the probe request from the wireless terminal; compare a strength of the probe request received from the wireless terminal to the threshold value; in response to determining that the strength of the probe request signal is greater than or equal to the threshold value, establish the connection to the wireless terminal based on the WPS PIN information of the wireless terminal included in the probe request; and in response to determining that the strength of the probe request signal is less than the threshold value, display that the strength of the probe request signal is weak. receive a recognition signal of the display apparatus from the display apparatus; compare a strength of the recognition signal received from the display apparatus to a threshold value; in response to determining that the strength of the recognition signal is greater than or equal to the threshold value, output a probe request comprising Wi-Fi Protected Setup product identification number information of the wireless terminal to the display apparatus; and in response to determining that the strength of the recognition signal is less than or equal to the threshold value, display that strength of the recognition signal is weak, wherein the display apparatus is configured to: receive the probe request from the wireless terminal; compare a strength of the probe request received from the wireless terminal to the threshold value; in response to determining that the strength of the probe request signal is greater than or equal to the threshold value, establish the connection to the wireless terminal based on the WPS PIN information of the wireless terminal included in the probe request; and in response to determining that the strength of the probe request signal is less than the threshold value, display that the strength of the probe request signal is weak. receive the probe request from the wireless terminal; compare a strength of the probe request received from the wireless terminal to the threshold value; in response to determining that the strength of the probe request signal is greater than or equal to the threshold value, establish the connection to the wireless terminal based on the WPS PIN information of the wireless terminal included in the probe request; and in response to determining that the strength of the probe request signal is less than the threshold value, display that the strength of the probe request signal is weak.