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A survey asked respondents how many close friends they had. Of 1467 people, the mean was 9.8 and the standard deviation was 11.2. The distribution

A survey asked respondents how many close friends they had. Of 1467 people, the mean was 9.8 and the standard deviation was 11.2. The distribution had a median of 7.

Based on these statistics, what would you surmise about the shape of the distribution? Why?

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This distribution is probably skewed to the right because the mean is smaller than the median, and the highest possible value is less than 1 standard deviation above the mean.

This distribution is probably skewed to the right because the mean is larger than the median, and the lowest possible value is less than 1 standard deviation below the mean.

This distribution is probably skewed to the left because the mean is larger than the median, and the lowest possible value is less than 1 standard deviation below the mean.

This distribution is probably bell-shaped because the number of responses is large and the distributions of large data sets always have a bell shape.

This distribution is probably skewed to the left because the mean is smaller than the median, and the highest possible value is less than 1 standard deviation above the mean.

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