Question

which normal distribution curve represents the data with a mean of $56,000 and a standard deviation of $7,250?

Explanation:

Step1: Calculate values using mean and standard deviation

The mean \(\mu = 56000\) and standard deviation \(\sigma=7250\).
For one - standard - deviation intervals:
\(\mu-\sigma=56000 - 7250=48750\)
\(\mu+\sigma=56000 + 7250=63250\)
For two - standard - deviation intervals:
\(\mu - 2\sigma=56000-2\times7250=56000 - 14500=41500\)
\(\mu+2\sigma=56000 + 2\times7250=56000+14500 = 70500\)

Step2: Check each graph

We need to find the graph where the center (mean) is at \(56000\), and the values \(41500\), \(48750\), \(63250\), \(70500\) are marked on the horizontal axis.

Answer:

The second graph (the one with values \(41500\), \(48750\), \(56000\), \(63250\), \(70500\) on the horizontal axis)