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WorksheetsGeometric Mean vs Arithmetic Mean: Real-Life Applications
Total questions: 10
Worksheet time: 5mins
A gardener wants to find the average height of two types of plants. Type A plants are 4 feet tall and Type B plants are 16 feet tall. What is the geometric mean of their heights?
8 feet
12 feet
6 feet
10 feet
In a class, the scores of two students in a math test are 25 and 100. Calculate the geometric mean of their scores and compare it to the arithmetic mean.
Geometric mean: 50, Arithmetic mean: 62.5
Geometric mean: 100, Arithmetic mean: 62.5
Geometric mean: 75, Arithmetic mean: 80
Geometric mean: 25, Arithmetic mean: 50
A car travels 60 miles per hour for 2 hours and then 90 miles per hour for 1 hour. What is the geometric mean speed of the car during the trip?
80 miles per hour
70 miles per hour
75 miles per hour
65 miles per hour
A student recorded the number of books read over three months: 2, 8, and 32. What is the geometric mean of the number of books read?
10
8
24
16
Two friends are comparing their weekly earnings. One earns $200 and the other earns $800. What is the geometric mean of their earnings, and how does it compare to the arithmetic mean?
The geometric mean is 400, which is less than the arithmetic mean of 500.
The geometric mean is 300, which is less than the arithmetic mean of 400.
The geometric mean is 500, which is equal to the arithmetic mean of 500.
The geometric mean is 600, which is greater than the arithmetic mean of 500.
A researcher measures the growth of bacteria in two different environments: 10 and 90 bacteria. What is the geometric mean of the bacteria counts?
100
30
50
20
A cyclist rides 12 miles in the first hour and 48 miles in the second hour. What is the geometric mean of the distances covered in each hour?
18
36
24
30
In a science experiment, the weights of two samples are 3 kg and 27 kg. Calculate the geometric mean of the weights and compare it to the arithmetic mean.
Geometric mean: 10 kg; Arithmetic mean: 18 kg. Geometric mean is greater than arithmetic mean.
Geometric mean: 15 kg; Arithmetic mean: 9 kg. Geometric mean is greater than arithmetic mean.
Geometric mean: 9 kg; Arithmetic mean: 15 kg. Geometric mean is less than arithmetic mean.
Geometric mean: 12 kg; Arithmetic mean: 20 kg. Geometric mean is equal to arithmetic mean.
A store sells two types of shoes: one for $30 and another for $90. What is the geometric mean price of the shoes?
75.00
60.00
51.96
45.00
A student wants to find the average of two test scores: 50 and 200. What is the geometric mean of the scores, and how does it compare to the arithmetic mean?
The geometric mean is 125, which is greater than the arithmetic mean of 100.
The geometric mean is 75, which is equal to the arithmetic mean of 125.
The geometric mean is 150, which is less than the arithmetic mean of 200.
The geometric mean is 100, which is less than the arithmetic mean of 125.
