Question

consider the following data set represented by a dot plot. round your answers to two decimal places, if needed. what is the mean of the data set? what is the median of the data set?

Explanation:

Step1: Count the frequency of each data point

• \(6\): \(1\)
• \(7\): \(2\)
• \(8\): \(3\)
• \(9\): \(4\)
• \(10\): \(4\)
• \(11\): \(3\)
• \(12\): \(2\)
• \(13\): \(1\)

Step2: Calculate the sum of the data set

$$
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$$

Step3: Calculate the total number of data points

$$1 + 2+3 + 4+4+3+2+1=20$$

Step4: Calculate the mean

$$ \text{Mean}=\frac{190}{20}=9.5 $$

Answer:

The mean of the data set is \(9.5\).