Geometric Mean in Real Life: Plants, Scores, and Profits

A gardener wants to find the average height of two plants that are 4 feet and 16 feet tall. What is the geometric mean of their heights?

• 6 feet

• 8 feet

• 12 feet

• 10 feet

A student scored 80 and 90 on two tests. What is the geometric mean of their scores?

• 78.00

• 84.85

• 85.00

• 90.00

A bank offers two investment options: one with a return of 5% and another with a return of 15%. What is the geometric mean return of these two options?

• 20%

• 12%

• 10%

• 14.44%

A car travels 60 miles in one hour and 90 miles in the next hour. What is the geometric mean speed of the car over the two hours?

• 80 miles/hour

• 75 miles/hour

• 73.48 miles/hour

• 70 miles/hour

A recipe requires two types of flour: one with a weight of 2 kg and another with a weight of 8 kg. What is the geometric mean weight of the flours used?

• 3 kg

• 4 kg

• 6 kg

• 5 kg

An investor has two stocks: one increased by 10% and the other by 40%. What is the geometric mean of the percentage increases?

• 24.1%

• 50%

• 30%

• 15%

A student has grades of 70, 80, and 90 in three subjects. What is the geometric mean of these grades?

• 82.50

• 85.00

• 79.37

• 75.00

A company’s profits increased by 20% one year and decreased by 25% the next year. What is the geometric mean of the profit changes?

• -5.13%

• 15%

• 10%

• -10%

A cyclist rides 12 miles in one hour and 48 miles in the next hour. What is the geometric mean speed of the cyclist?

• 20 mph

• 30 mph

• 24 mph

• 18 mph

A farmer harvested 100 bushels of corn in one field and 400 bushels in another. What is the geometric mean of the bushels harvested?

• 350

• 200

• 250

• 150