Problem

Researchers at UC Irvine were interested in how males rated their sexual satisfaction in their marriage. Researchers report an average of 5 . These were the scores they obtained; $4,4,4,6,8,3,3,8,9,2,4,2,2$
What is
\[
\bar{X}=\frac{\Sigma X}{N}
\]

Answer

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Answer

Final Answer: The mean (average) of the scores is \(\boxed{4.54}\).

Steps

Step 1 :The given scores are 4, 4, 4, 6, 8, 3, 3, 8, 9, 2, 4, 2, 2.

Step 2 :The formula for calculating the mean is \(\bar{X}=\frac{\Sigma X}{N}\), where \(\Sigma X\) is the sum of all the scores and \(N\) is the total number of scores.

Step 3 :Summing up all the scores, we get \(\Sigma X = 59\).

Step 4 :The total number of scores, \(N\), is 13.

Step 5 :Substituting these values into the formula, we get \(\bar{X}=\frac{59}{13}\).

Step 6 :Calculating the above expression, we find that the mean is approximately 4.54.

Step 7 :Final Answer: The mean (average) of the scores is \(\boxed{4.54}\).

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