In a boys$$ school, there are $40$ students in grade $9.$ The weight of the students was measured.

The mean weight of the students was $55$ kg and the standard deviation was $2\mathrm{.}5$ kg$.$ Peter$$s weight

was $64$kg$.$ Would his weight be considered an outlier, if the weight of the students were

normally distributed? Explain your answer.

Define a Random Variable as a Normally distributed Random Variable.

Example: X$-$ The weight of the students in the class

f $-$ Mean of the weight of the students in the class g$?-$ Variance of the weight of the students in the

class :

Variance $=($Standard Deviation$)2$

X ~ Normal$($u$,02)$

$$ Draw the Normal Curve for the random variable X$.$

$$ Define what is an outlier.

$$ Using the graph identify whether the given value is an outlier or not.