Question

in the distributions shown, state the mean and standard deviation for each. hint: the vertical lines are 1 standard deviation apart.
part: 0 / 2
part 1 of 2
(a)
mean =
standard deviation =

Explanation:

Step1: Find the mean

In a normal distribution, the mean is at the center of the curve. Looking at the graph, the center value is \(76.1\). So, the mean \(\mu=76.1\).

Step2: Find the standard deviation

The vertical lines are 1 standard deviation apart. We can calculate the standard deviation \(\sigma\) using the formula \(\sigma=\text{distance between two adjacent vertical lines}\). For example, \(76.1 - 68.8=7.3\) or \(83.4 - 76.1 = 7.3\). So, the standard deviation \(\sigma = 7.3\)

Answer:

Mean = \(76.1\), Standard deviation = \(7.3\)