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Answer :
Final answer:
The range of heights representing the tallest 8% of 17-year-old male students is 190 cm - 197 cm.
Explanation:
The range of heights that represents the tallest 8% of 17-year-old male students is 190 cm - 197 cm.
To find this range, we need to consider that the top 8% of students have heights greater than or equal to 92% of the other students. Since we have a total of 100% of students, the bottom 92% will have heights less than 92 cm. We can find the top 8% by subtracting 92% from 100%, which gives us 8%. We then calculate 8% of the total number of students and determine the corresponding height range.
For example, if there are 100 male students, the top 8% would be 100 * 0.08 = 8 students. We arrange the heights of these 8 students in ascending order and find the range from the tallest to the shortest.
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