The Mughal School dominates the scene from the sixteenth century through the courts of Delhi, Agra, Fatehpur Sikri and Lahore. Provincial Mughal Schools prospered in many parts of the country, which were under the Mughals but headed by powerful and wealthy governors appointed by Mughal emperors, where pictorial language evolved through an amalgamation of Mughal and eccentric local elements. The Deccani School flourished in different centres from the sixteenth century. The Rajasthani Schools came into prominence in the late sixteenth and early seventeenth century, with the Pahari School following in the late seventeenth and early eighteenth centuries.

During which century did the Mughal School dominate the artistic scene in India?

16th century

Answer:  16th century
The Mughal School dominated the scene from the sixteenth century.

The Mughal School dominates the scene from the sixteenth century through the courts of Delhi, Agra, Fatehpur Sikri and Lahore. Provincial Mughal Schools prospered in many parts of the country, which were under the Mughals but headed by powerful and wealthy governors appointed by Mughal emperors, where pictorial language evolved through an amalgamation of Mughal and eccentric local elements. The Deccani School flourished in centres, such as Ahmednagar, Bijapur, Golconda and Hyderabad from the sixteenth century. The Rajasthani Schools came into prominence in the late sixteenth and early seventeenth century, with the Pahari School following in the late seventeenth and early eighteenth centuries.