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Answer :
The five numbers that go across the X-axis for this problem are -1.5, 10.5, 14, 17.5, and 23.5.
The given problem states that college students' weekly time spent on the internet is normally distributed with a mean of 14 hours and a standard deviation of 3.5 hours. In a normal distribution, the mean represents the center of the distribution, and the standard deviation determines the spread or variability of the data.
To find the five numbers that go across the X-axis, we can use the concept of standard deviations from the mean. The first number, -1.5, represents one standard deviation below the mean. By subtracting 3.5 (one standard deviation) from the mean of 14, we get 10.5.
The second number, 10.5, represents the lower limit of the average range. It indicates the point where about 16% of the data lies below. This is obtained by subtracting another 3.5 (one standard deviation) from 10.5.
The third number, 14, represents the mean itself. This is the midpoint of the distribution, and about 50% of the data lies below and 50% lies above this value.
The fourth number, 17.5, represents the upper limit of the average range. It indicates the point where about 84% of the data lies below. This is obtained by adding 3.5 (one standard deviation) to 14.
The fifth number, 23.5, represents one standard deviation above the mean. By adding 3.5 (one standard deviation) to the mean of 14, we get 17.5.
In summary, the five numbers -1.5, 10.5, 14, 17.5, and 23.5 give us a range across the X-axis that helps us understand the distribution of college students' weekly time spent on the internet.
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