Additional Investigations
Comparing the Arithmetic Mean, Geometric Mean, and Harmonic Mean: Using a graphs, what can you say about how the arithmetic mean compares to the geometric mean and the harmonic mean?
Arithmetic and Geometric Means: Visualize the arithmetic and the geometric means.
Ten Apart: Find a data set with measures of central tendencies that vary by ten.
A Different Method: Determine if a student's method of computing averages always works.
Averages and Midpoints: Determine if a student's method of computing averages using midpoints always works.
Presenting Peanut Butter: Using data about different brands of peanut butter, decide how to best graphically represent the data.
New Nummies: Analyze data on a new product and present the findings to the president of your company.
Organizing M&M's: Describe the distribution of colors in a bag of m&m's.
The Road to 3000 Hits: What can you conclude from the baseball data displayed in a bar graph?
The Best Baseball Team: Determine who is the "best" team in modern history.
Movie Popularity: How does 1) the weekend total for the top ten movies at the theater, and 2) the total gross for the top ten movies at the theater compare?
Large, Larger, Largest: Find a data set that has a median larger than its mean, and a mean larger than its mode.
Home Run Kings: Determine which baseball player has the best chance to break the all time home run record set by Hank Aaron.
Favorite Dessert: Determine the number of people that could have taken the survey.
Modeling Temperature: Use the sine curve to model temperature.
Basketball Performance: Determine the number of baskets you think you will make in the next game.
The Deep Freeze: Find the missing temperatures.
Predicting Deer Population: Respond to rumors about overpopulation of deer in the forest.
How Much is that Car?: Predict the price of a new automobile of that same make and model.
Missing Numbers: Find two missing numbers in a set given information such as the other eleven numbers and the mean and median of the set.
Larry's Score: How does Larry's final test score relate to the total number of tests?
Final Score: What score does a student need on the fifth contest to finish with an average score of 4 on the five contests?
Dividing Oranges: How many oranges were in a fifth basket?
Resulting Means: Determine the new mean of a list of numbers when two more numbers are added to the list.
Removing the Ends: Determine Jonathon's scores in a diving competition knowing that to calculate his final score for the dive, the highest and lowest scores were removed and the average was then taken of the remaining scores.
Unlucky 13: Determine the new mean of a set of integers after two more integers are added to the list.
High Score: Find the lowest and highest scores Johnny could have received on one test.
Average Patterns: Use the average of four 26's and four 34's to determine the average of four of another number.
Means of 1000: Finding averages of natural numbers.
How is the Weather?: Determine which of the locations has the most consistent temperatures.
Oil Consumption: Determine which countries has more consistent oil consumption.
Burning Candle: Determine which brand of candle would you buy among three different brands.
Missing Test Scores: Given the standard deviation for a set of data, find the missing test score.
Movie Budgets: Choose the correct graph to display data about movie budgets to Warner Brothers.
Computer Usage: Design a survey about computer ownership and type of usage among the students in your school and report your results.
Heavy Traffic: Observe the road in front of the school and record the number of cars passing each way at different times. Which day and time of the day has the heaviest traffic on the road.
Taking Classes:How many students are in each class?
Submit your idea for an investigation to InterMath.
