Question

question 3 of 10, step 1 of 1
find the mean of the following set of data. round your answer to the nearest hundredth, if necessary.
33, 74, 60, 64, 85, 71, 35
answer
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Explanation:

Step1: Sum the data values

The data set is \(33, 74, 60, 64, 85, 71, 35\). First, we find the sum of these values.

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Step2: Count the number of data points

There are \(n = 7\) data points in the set.

Step3: Calculate the mean

The formula for the mean \(\bar{x}\) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(\sum_{i = 1}^{n}x_{i}\) is the sum of the data and \(n\) is the number of data points.
Substituting the sum (\(422\)) and \(n = 7\) into the formula:

$$ \bar{x}=\frac{422}{7}\approx60.29 $$

Answer:

\(60.29\)