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1
2
Ms. Newton's mathematics class took
John walked 117 miles, beginning on
the same test as Mr. Euclid's students.
Sunday morning and finishing on
What is the mean (average) of the first Ms. Newton's class has 20 students,
Monday evening of the following
and the average (mean) test score
300 terms in the following sequence:
week. Each day, he walked 1 mile
was 90. The average of Mr. Euclid's
farther than the day before. How many
class was 80. If you combine both
miles did he walk each day?
classes, the average score on the test
1, –2, 3, –4, 5, –6, 7,...
was 84. How many students did Mr.
Euclid have in his mathematics class?
3
According to Census 2000, 41.1
million children, ages 5 to 14, live in
the United States. A national survey
found that 93% of this age group go
trick-or-treating on Halloween. An
informal survey found that the median
amount of candy collected by each
trick-or-treater was 68 pieces. From
these data, estimate how many pieces
of candy might be collected
throughout the United States on
Halloween 2002.
4
Twenty-three basketball fans are at a
game. Four fans like the Bulls, Knicks,
and Lakers; five fans like the Knicks
only; six fans like the Bulls only; and
three fans like the Lakers only. Three
fans like both the Bulls and Lakers
only, and two fans like the Bulls and
Knicks only. How many of these fans
like both the Knicks and Lakers only?
5
In terms of area in square miles,
Alaska at 656,425 square miles is the
largest state in the United States.
Texas at 268,601 square miles is the
next largest state.
1.What are the third and fourth largest
states on the list?
2. Which state east of the Mississippi
River has the largest area?
3. What is its rank among the fifty
states?
4. Which is the average state using
the median?
8A player's batting average is
7
6
In the story Lemonade for Sale,
children are selling lemonade to raise
money to fix up their clubhouse. To
keep track, they record the amount of
lemonade they sell each day and then
create a bar graph with this
information. Search through
magazines and newspapers to find
one example of a bar graph. Turn it in
with the answers to the following
questions: What does the bar graph
represent? Who would use the bar
graph?
9
The box plot below represents the
grams of sugar per serving in 15
boxes of cereal. Mean grams of sugar
per serving is 14, and mode grams of
sugar per serving is 18. What is a
possible data set? Explain your
choice.
Suppose you purchased a $60 pair of
shoes that is on sale for 40% off and a
$40 shirt that is 20% off. What percent
of discount did you get on the total
purchase?
Chico and his brother Ralph
Note that you must add all the hits and at-bats
for the three weeks before finding the threeweek batting average.
10
11Juan wants a part-time job when
The average age of the 40 members of
a computer science camp is 17 years.
Of those attending, 20 are girls, 15 are
boys, and 5 are adults. If the average
age of the girls is 15 and the average
age of the boys is 16, what is the
average age of the adults?
he goes to college and has been
offered jobs by two different firms.
Both jobs are the same, and each
requires him to work 50 20-hour
weeks per year with no overtime. Firm
A would pay $130 per week and a
$500 bonus at the end of each year
for the first 3 years. Firm B would pay
$6.25 per hour and a 50-cent-per-hour
raise each year for 3 years. Which job
should Juan take, and why?
13
12
determined by dividing his or her
number of hits by the number of times
at bat.
1.Calculate each player's batting
average for each week,
2. Calculate each player's batting
average for the three-week period.
14
start at opposite ends of a 90-foot
swimming pool. They swim back and
forth for 12 minutes. Chico swims at
the rate of 3 ft./sec., and Ralph swims
at 2 ft./sec. Assuming no loss of time
for turns, find the number of times that
Chico and Ralph meet each other
during their swim.
According to 1992 data from the United
States, the mean number of children in
a family was 2.1. Since no family can
actually have 2.1 children, how can this
figure be correct? Make up a set of ten
families such that the mean number of
children is 2.1.
15
16In NCAA softball, statistics are
17At what point on the number line
kept on who is the hardest player to
strike out. The top 5 in 2001 in
alphabetical order are listed below.
should we draw a vertical line so that
the vertical line cuts the region (shown
below) into two parts of equal area?
Describe a situation that can be
modeled by the following graph.
What number should be removed from
the list
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
so that the average of the remaining
numbers is 6.1?
Rank these players from first to fifth in
order of toughest to strike out. What is
the fewest at bats needed for someone
with 3 strikeouts to be in the top 2?
18
19
Shaq loves to play basketball and is
Men in Black II grossed $19,821,658
20
active on his local YMCA team.
Midway through the season, Shaq
calculates that he has made 42.8
percent of his 306 free-throw
attempts. How many more free throws
would he have to make in a row,
without missing, to raise his average
to 50 percent?
on 3557 screens on the opening
Friday. If theaters are open from noon
to midnight, have 15 minutes in
between showings, and average $6 a
ticket for the 82 minute movie, find the
average number of people who
attended each showing.
Construct a set of ten numbers with a
mean of 7, a median of 6, and a mode
of 3.
21
22Describe a situation, and add
23
labels that would be appropriate for
this bar graph.
Find three numbers whose mean is 10
times as large as their median.
24
When 5 new girls joined a class, the
percent of girls increased from 40% to
50%. What is the number of boys in
the class?
25
26
Nine consecutive odd whole numbers
Find three numbers with a median of
30 and a mean that is 10 more than
the median.
Find the values of a and b so that 8 is
both the mean and median of this set
of numbers:
sum to 243. Find the sum of the first
and last odd whole numbers in this
nine-addend set.
{a, b, 10, 7, 11}
27
Fill in the blanks in the list of numbers
such that the only mode for the list will
be 8 and the median will be 13.
30
Explain which problem you worked on
28
29
What is the average of all the
numbers from 1 to 100 that are
divisible by 4? Round your answer to
the nearest tenth.?
To become the largest ethnic group in
the United States, a population has to
reach approximately 13 percent of the
total. Using data from the U.S Census
Bureau, predict when Latino
Americans will become the largest
ethnic group in the United States.
this month was the easiest to figure
out. Why was it the easiest? Which
one did you struggle with the most
and yet were able to figure it out in the
end? What helped you figure it out in
the end?