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In the 2018 season, Alex Ovechkin led the NHL in goals scored. Here is a dot plot showing the distribution of goals scored by Ovechkin

In the 2018 season, Alex Ovechkin led the NHL in goals scored. Here is a dot plot showing the distribution of goals scored by Ovechkin during this season. The mean for these 81 games is 0.58 goals and the standard is 0.80 goals.

Describe the shape.
Calculate the percentage of games where points scored were within 1, 2, and 3 standard deviations of the mean.
Based on your answers to part a and b, is the distribution roughly normal? Explain your reasoning.

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