$(20$ points$)$ In a vibrant city, there are two renowned beauty salons, Salon Serenity and

Glamour Glow, each known for their unique approach to beauty treatments. The salon owners,

Bella and Veronica, are in friendly competition, always looking for ways to enhance their

services. Bella, the owner of Salon Serenity, decides to introduce a new line of facials using

special organic products. The weights of $10$ facial masks from her collection are meticulously

measured: $19\mathrm{.}8,12\mathrm{.}7,13\mathrm{.}2,16\mathrm{.}9,10\mathrm{.}6,18\mathrm{.}8,11\mathrm{.}1,14\mathrm{.}3,17\mathrm{.}0,12\mathrm{.}5.$ Meanwhile, Veronica, the

creative force behind Glamour Glow, unveils a revolutionary skincare treatment involving

unique blends of essential oils. She crafts $8$ special oils, and their weights are recorded as

follows: $24\mathrm{.}9,22\mathrm{.}8,23\mathrm{.}6,22\mathrm{.}1,20\mathrm{.}4,21\mathrm{.}6,21\mathrm{.}8,22\mathrm{.}5.$ Are the variances of the facial mask weights

at Salon Serenity and the essential oil weights at Glamour Glow equal? Explain it$!$