$1-$ You are given a dataset with $25$ samples, each belonging to one of three classes: Class A$,$

Class B$,$ or Class C$.$ The samples are described by two features. The table below

summarizes the data: $(30$p$)$

A new sample is presented with X$1=6\mathrm{.}5,$ X$2=3\mathrm{.}2.$

Tasks:

$1.$ Classify the new sample using KNN with k$=5.$ Use Euclidean distance as the distance

metric.

$2.$ Determine the predicted class for the new sample.

Sample X$1$ X$2$ Class

S$13\mathrm{.}04\mathrm{.}2$ A

S$27\mathrm{.}07\mathrm{.}0$ B

S$31\mathrm{.}73\mathrm{.}0$ C

S$42\mathrm{.}74\mathrm{.}0$ A

S$58\mathrm{.}29\mathrm{.}5$ C

S$64\mathrm{.}05\mathrm{.}2$ A

S$76\mathrm{.}76\mathrm{.}8$ B

S$83\mathrm{.}24\mathrm{.}5$ A

S$99\mathrm{.}010\mathrm{.}2$ C

S$102\mathrm{.}23\mathrm{.}5$ A

S$116\mathrm{.}36\mathrm{.}5$ B

S$124\mathrm{.}25\mathrm{.}5$ A

S$138\mathrm{.}710\mathrm{.}0$ C

S$141\mathrm{.}12\mathrm{.}2$ A

S$158\mathrm{.}59\mathrm{.}7$ C

S$163\mathrm{.}75\mathrm{.}0$ A

S$178\mathrm{.}09\mathrm{.}2$ C

S$181\mathrm{.}42\mathrm{.}8$ A

S$196\mathrm{.}06\mathrm{.}2$ B

S$204\mathrm{.}55\mathrm{.}7$ C

S$211\mathrm{.}32\mathrm{.}5$ A

S$227\mathrm{.}27\mathrm{.}3$ B

S$232\mathrm{.}53\mathrm{.}7$ A

S$245\mathrm{.}03\mathrm{.}2$ C

S$252\mathrm{.}03\mathrm{.}2$ A