Question

draw a normal curve with $mu = 67$ and $sigma = 16$. label the mean and the inflection points

choose the correct graph of the normal curve below

a
b
c

Explanation:

Step1: Recall the properties of normal curve

The normal curve is symmetric about the mean \(\mu\). The inflection points of a normal curve are at \(\mu-\sigma\) and \(\mu + \sigma\).
Given \(\mu=67\) and \(\sigma = 16\).

Step2: Calculate the inflection points

For the left - hand inflection point: \(\mu-\sigma=67 - 16=51\)
For the right - hand inflection point: \(\mu+\sigma=67 + 16=83\)

Answer:

C.