A thermometer is calibrated with standard references from $50\backslash$deg c to $90\backslash$deg c$.$ The calliberation data for output to input temperature is given below.

Input $\backslash$deg c$.$ : $50,60,70,80,90$

Output,cm:$5\mathrm{.}9,6\mathrm{.}2,7\mathrm{.}6,8\mathrm{.}1,9\mathrm{.}2$

What is the range and span of thermometer?

Evaluate the static sensitivity at $75\backslash$deg c$.$