To find the balancing point (mean) of the given dataset, we first need to calculate the mean of the numbers provided.
The dataset is: 6, 3, 1, 3, 6, 1, 2, 3, 4, 5
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Sum the numbers: \[ 6 + 3 + 1 + 3 + 6 + 1 + 2 + 3 + 4 + 5 = 34 \]
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Count the numbers in the dataset: There are 10 numbers.
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Calculate the mean: \[ \text{Mean} = \frac{\text{sum of the numbers}}{\text{count of the numbers}} = \frac{34}{10} = 3.4 \]
Therefore, the balancing point of the dataset is 3.4.