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Answer :
The average price of the wrenches sold on Monday and Tuesday is 0.84x. The number of measurements of r in the distribution such that 26.5 ≤ x ≤ 37.1 is approximately 1,850.
For the first problem, the total money obtained from selling the wrenches on Monday and Tuesday can be computed as 17x + 8(0.5x) which simplifies to 21x dollars. The average price of the 25 wrenches will be the total price divided by the number of wrenches sold, which is 21x/25 = 0.84x. So, the correct answer is E.0.84x.
For the second problem, the difference between the 78th and 56th percentiles represents 22% of the measurements in the distribution. So, the number of measurements of r that are in the distribution such that 26.5 ≤ x ≤ 37.1 can be obtained by multiplying 0.22 by the total number of measurements, 8500. This gives us 1870. So, the answer closest to this is A. 1,850.
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