Praxis 5511 Practice Question
If the range of the average annual earthquake frequencies in the table shown is 9.7, which of the following could be the value of x? (The range of a set of numbers is the difference between the greatest and the least numbers.)
Correct Answer: D
Rationale: To determine the possible value of x, we need to understand that the range is calculated as the difference between the highest and lowest values in a set. If the range is 9.7, we can express this mathematically as: highest value - lowest value = 9.7.
Option A (1.3) is too low to create a range of 9.7 when combined with typical earthquake frequencies. Option B (9.7) would mean the lowest value is 0, which is not realistic in this context. Option C (12.7) would create a range of 12.7 - 3 = 9.7, which is not consistent with the requirement. Option D (15) works because it allows for a lowest value of 5.3, resulting in a range of 15 - 5.3 = 9.7, fitting the criteria perfectly.
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