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problem 3 in the distribution shown, state the mean and standard deviat…

Question

problem 3
in the distribution shown, state the mean and standard deviation. hint: the vertical lines are 1
standard deviation apart.
189 209 229 249 269

Explanation:

Step1: Determine the mean

The mean of a normal distribution is at the center of the curve. Looking at the values, the center value is \(229\).

Step2: Calculate the standard deviation

The vertical lines are 1 standard deviation apart. The distance between \(229\) and \(209\) (or \(249\) and \(229\)) is \(229 - 209=20\). So the standard deviation \(\sigma = 20\)

Answer:

The mean is \(229\) and the standard deviation is \(20\)