Question

the heights of the same variety of pine tree are also normally distributed. the mean height is $mu = 33$ m and the standard deviation is $sigma = 3$ m. which normal distribution below best summarizes the data?

Explanation:

Answer:

The normal - distribution with mean \( \mu = 33\) and standard - deviation \( \sigma = 3\) has the peak at \(x = 33\), and the inflection points at \(x=33 - 3=30\) and \(x = 33+3 = 36\). The first graph (with values 21, 24, 27, 30, 33, 36, 39 on the x - axis) best summarizes the data since it has a mean of 33 and a standard deviation of 3 (the values at the inflection points are 30 and 36). So the answer is the first graph.