A medium conveying apparatus includes a floating sensor located on an upstream side of a first roller in the medium conveying direction to detect a floating of the medium placed on a medium tray, a skew sensor located on a downstream side of a second roller in the medium conveying direction to detect a skew of the medium conveyed by the second roller, and a processor to determine whether the floating of the medium has occurred based on an output signal from the floating sensor, determine whether the skew of the medium has occurred based on an output signal from the skew sensor, and determine that a conveyance abnormality of the medium has occurred when the processor determines that the floating of the medium has occurred and the processor determines that the skew of the medium has occurred.