8-51.
ALDEN’S SODA
Alden created a box plot for the calories in 11 different brands of sodas, as shown
below.
0
8-52.
8-53.
50
100
150
a.
How do you think Alden collected the data for his box plot?
[ He probably went to the store and read labels for
different brands of soda. ]
b.
According to this graph, give as complete a description
about the calories of the 11 brands of soda as you can.
Consider the center, shape, spread, and outliers. [ Sample
responses: There is at least one diet soda (with zero calories) that is an
outlier, the maximum calories are 160, half the sodas have between 100 and
140 calories, the IQR is 40; the median soda is 120 calories; the distribution
is not symmetric. ]
Simplify each of the following expressions.
a.
(4 + 8) ÷ 12 + 2
c.
49 ÷ 7 ! 5 + 4 !(3.13 + 2.12) [ 56 ]
3
4
[ 3 43 ]
b.
3!(8 " 5) + 6 + 2 ! 7 [ 29 ]
Maciel and Alejandro were trying to figure out the answer to
8.42 + 0.3 . Maciel thinks the answer is 8.72, but Alejandro got
8.45. Who is correct? Why? What did the other person do wrong?
[ Maciel is correct. Alejandro did not add like parts, he instead
combined tenths with hundredths. ]
6 cm
8-54.
Find the area of the shape at right.
All angles are right angles.
[ 216 square centimeters ]
15 cm
18 cm
9 cm
9 cm
24 cm
780
Core Connections, Course 1
8-55.
8-56.
Use the Distributive Property to rewrite each expression below. Then evaluate each
expression for y = 3 and z = 4.
a.
2y 2 ! 5y
[ y(2 y ! 5) " 3 ]
d.
4y + 6z [ 2(2 y + 3z) ! 36 ]
b.
3(8 ! 2z)
[ 24 ! 6z " 0 ]
c.
5z 2 !15z
[ 5z(z ! 3) " 20 ]
How do box plots help compare data? Think about this question as you compare the
data below that shows the ages of students at three schools.
School A
School B
School C
5
8-57.
6
7
8 9 10 11 12 13 14
Age (in years)
a.
Which school is a K-8 school? How do you know? Does that school have more
students in grades K-2, 3-5, or 6-8? Why? [ School A; because of the age
range (from 5 to 14). School A has more students in K-2 because half of the
students are less than 8 years old according to the median. ]
b.
What does the box plot for School C tell you about 11-year-old students at that
school? [ 11 year-olds make up about 50% of the school. ]
c.
How many students attend School C? [ It cannot be determined from the box
plot. ]
d.
Make a conjecture about how the data for these plots was collected. [ All three
schools would have to be visited; the registration records at the schools give
students birth dates; from these, the ages of students could be determined
and recorded. ]
e.
What statements can you make about the students at School B based on its box
plot? Consider the center, shape, spread, and outliers. [ School B has about the
same number of students in of each age; median is 11 years, the distribution
is symmetric, IQR is two years, and there are no apparent outliers. ]
Complete the following division problems.
a.
5 23 ÷1 15
[
85
18
= 4 13
18 ]
b.
14.76 ÷ 3.28
[ 4.5 ]
Chapter 8: Statistics and Multiplication Equations
c.
9 ÷8 4
7 10
5
[
79
88
]
781