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In this paper a minimum deviation of fidelity based data embedding technique (STMDF) has been proposed where two bits per byte have been replaced by choosing the position randomly between LSB and up to fourth bit towards MSB. This technique also optimized the intensity value of pixel after embedding by comparing it with original pixel value. STMDF technique has been compared with existing Wu-Tsai's Method and H.C. Wu Method techniques, where proposed technique shows better performance in terms of PSNR and fidelity of the stego images.