JAMIA 2021 — Mathematics PYQ

1. Temperature Conversion Formula

The relationship between Fahrenheit ($F$) and Celsius ($C$) is:

2. Effect on Standard Deviation

If $Y=aX+b$, the standard deviation of $Y$ is given by:

Here, $a=\frac{9}{5}$ and ${\sigma }_C=5$:

3. Calculation of Variance

Variance ($V$) is the square of the standard deviation (${\sigma }^2$):

Final Result

The variance in ${}^{\circ }\mathrm{F}$ is $81$.