Data
Graph Theory
Voting
Probability
100

Find the mean of the data set:

20 50 30 40 40 100 50

47.1

100

Is this an Euler circuit, Euler path or neither?

euler circuit

100

Who won the plurality vote? How many votes did they get?

John


100

What are the chances you guess on a multiple choice question (4 answers) and get it wrong. Write your answer as a percent.

75%

200

Find the median of the data set:

20 50 30 40 40 100 50

40

200

Is this an Euler circuit, Euler path or neither?

neither

200

Did the winner get a majority of the vote?

If not find the winner using plurality with elimination and find their total number of votes.

no majority

Roger with 57 voets

200

What are the chances you guess on two multiple choice question in a row (4 answers each) and get them both right?


6.2%

300

These numbers were used to make a boxplot of the number states that 50 different students had visited.

min   q1   med   q3   max

0       5       10    20     22

What percent of the students have visited between 0 to 5 states?

25%

300

Find a Hamilton circuit using the nearest neighbor method and find the total length. Start at point A.


ADCBA

26 units

300

Find the winner using the borda count point system method.

John wins with 221 points

300
A bag has 5 red marbles, 3 blue, and 4 yellow. What are the chances you randomly draw a red or blue marble?

66.6%

400

These numbers were used to make a boxplot of the number states that 50 different students had visited.

min   q1   med   q3   max

0       5       10    20     22

How many students have visited between 5 to 20 states?

25 students

400

Find the best/optimal Hamilton circuit by making a tree diagram and finding the length of each circuit.

23 units

ABDCA

ACDBA

400

What percentage of the voters chose Roger as their first choice?

35%

400
There are 16 teams in a soccer tournament. How many different ways are there for them to finish in 1st, 2nd, and 3rd place?

3360 ways