Answer :
In a normally distributed data set with a mean of 35 and a standard deviation of 4.1, the percentage of the data that would be between 30.9 and 39.1 is 68%. The reason why is that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.
So first, we need to find the z-scores for 30.9 and 39.1:z-score for 30.9: (30.9 - 35) / 4.1 = -1.10z-score for 39.1: (39.1 - 35) / 4.1 = 1.10Then, we can use a standard normal distribution table or calculator to find the area between these two z-scores.
The area between -1.10 and 1.10 is approximately 0.68 or 68%. Therefore, approximately 68% of the data would be between 30.9 and 39.1 in a normally distributed data set with a mean of 35 and a standard deviation of 4.1.
To know more about percentage of data,refer here:
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