An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Count the number of countries with fewer reactors than France: 22.
Divide this number by the total number of countries (23) and multiply by 100 to find the percentile: 23 22 ∗ 100 .
Calculate the percentile: approximately 95.65.
Round the percentile to the nearest whole number: 96 .
Explanation
Understand the problem We are given the number of nuclear reactors in 23 countries and need to find the percentile of France's number of reactors (58) within this dataset. The percentile represents the percentage of countries with fewer reactors than France.
List the data First, we need to count how many countries have fewer nuclear reactors than France (58). The numbers of reactors for each country are: 2, 1, 7, 2, 2, 19, 18, 6, 4, 58, 9, 4, 20, 50, 23, 2, 1, 3, 2, 33, 4, 1, 2.
Count countries with fewer reactors Now, let's count the countries with fewer reactors than France:
2, 1, 7, 2, 2, 19, 18, 6, 4, 9, 4, 20, 50, 23, 2, 1, 3, 2, 33, 4, 1, 2. There are 22 countries with fewer reactors than France.
Calculate the percentile Next, we calculate the percentile using the formula: P erce n t i l e = T o t a l n u mb er o f v a l u es N u mb er o f v a l u es b e l o w t h e g i v e n v a l u e ∗ 100 In our case: P erce n t i l e = 23 22 ∗ 100
Perform the calculation Calculating the percentile: P erce n t i l e = 23 22 ∗ 100 ≈ 95.65
Round to the nearest whole number Finally, we round the percentile to the nearest whole number: 96.
State the final answer The percentile of France's number of nuclear reactors is approximately 96.
Examples
Understanding percentiles can help in many real-world scenarios. For example, if you score in the 90th percentile on a standardized test, it means you performed better than 90% of the test takers. Similarly, in economics, percentiles can be used to understand income distribution, showing what percentage of the population earns less than a certain amount. In environmental science, you might use percentiles to compare pollution levels in different cities, understanding which cities have lower pollution levels than a certain percentage of other cities.
