Use the stem and leaf plots to answer questions #7-12. As people walked into a mall, a surveyor asked their age. She did this on a Tuesday and again on a Saturday from 1p. m. - 3p. m.
7. How do the shapes compare?
Tuesday
Stem Leaf
8. How do the peaks compare?
|
2.
3
4
5
6
9. How do the centers compare?
0,2,2,3,4,4
3,5
2, 6
I, 3
0,1,3,5,5
10. Did the surveyor leave an age range out? Do you think this
affected the data sets?
II. True or False: The ages of people who attended the mall
on Saturday were evenly distributed.
Saturday
Stem Leaf
1 1, 3, 5, 7, 7,9
2 0, 2, 4, 8, 8, 9,9
3 1, 3, 4, 5, 7, 7, 8, 9,9
4 2, 3, 4, 5, 6, 7, 8
5 1, 3, 4, 5, 7,7
6 0, 1, 5,6
12. Glve one possible reason for the shape of Tuesday's data.
Lindsay Bowden, 2020

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