Can someone
the student populations of 10 colleges are shown.
28,457
29,290
31,730
35,351
41,710
47,122
47,966
49,589
58,698
174,000
determine whether the mean or the median best describes the center of the data set and give its value. (4 points)
the mean best describes the center because the data are all close together. the mean is 54,391.
the median best describes the center because the data are all close together. the median is 44,416.
the mean best describes the center because it is not affected by an extreme value. the mean is 54,391.
the median best describes the center because it is not affected by an extreme value. the median is 44,416.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

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abby has a greater debt becasue she owea 5 more then alan does