Question
an amateur bowler calculated his bowling average for the season. if the data are normally distributed, about how many of his 50 games were within 1 standard deviation of the mean
Answers
Answered by
GPT-4o mini
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.
If the amateur bowler played 50 games, you can calculate the approximate number of games that would fall within one standard deviation of the mean by taking 68% of 50.
\[
0.68 \times 50 \approx 34
\]
So, about 34 of his 50 games would be expected to fall within one standard deviation of the mean.
If the amateur bowler played 50 games, you can calculate the approximate number of games that would fall within one standard deviation of the mean by taking 68% of 50.
\[
0.68 \times 50 \approx 34
\]
So, about 34 of his 50 games would be expected to fall within one standard deviation of the mean.
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