Mistborn Trilogy - Brandon Sanderson [739]
Vin frowned. “Did you include the men who died in your calculations?”
“Actually, no,” Noorden said.
“And which total did you use?” Vin asked. “The total number of men in the army, or the total number who hadn’t been in the mists before?”
“The first.”
“Do you have a count for the second number?” Vin asked.
“Yes, my lady,” Noorden said. “The emperor wanted an accurate count of which soldiers would be affected.”
“Use that number instead,” Vin said, glancing at Elend. He seemed interested.
“What is this about, Vin?” he asked as Noorden and his men worked.
“I’m . . . not sure,” Vin said.
“Numbers are important for generalizations,” Elend said. “But I don’t see how . . .” He trailed off as Noorden looked up from his calculations, then cocked his head, saying something softly to himself.
“What?” Vin asked.
“I’m sorry, my lady,” Noorden said. “I was just a bit surprised. The calculation came out to be exact—precisely sixteen percent of the soldiers fell sick. To the man.”
“A coincidence, Noorden,” Elend said. “It isn’t that remarkable for calculations to come out exact.”
Ash blew across the deck. “No,” Noorden said, “no, you are right, Your Excellency. A simple coincidence.”
“Check your ledgers,” Vin said. “Find percentages based on other groups of people who have caught this disease.”
“Vin,” Elend said, “I’m no statistician, but I have worked with numbers in my research. Sometimes, natural phenomena produce seemingly odd results, but the chaos of statistics actually results in normalization. It might appear strange that our numbers broke down to an exact percentage, but that’s just the way that statistics work.”
“Sixteen,” Noorden said. He looked up. “Another exact percentage.”
Elend frowned, stepping over to the ledger.
“This third one here isn’t exact,” Noorden said, “but that’s only because the base number isn’t a multiple of twenty-five. A fraction of a person can’t really become sick, after all. Yet, the sickness in this population here is within a single person of being exactly sixteen percent.”
Elend knelt down, heedless of the ash that had dusted the deck since it had last been swept. Vin looked over his shoulder, scanning the numbers.
“It doesn’t matter how old the average member of the population is,” Noorden said, scribbling. “Nor does it matter where they live. Each one shows the exact same percentage of people falling sick.”
“How could we have not noticed this before?” Elend asked.
“Well, we did, after a fashion,” Noorden said. “We knew that about four in twenty-five caught the sickness. However, I hadn’t realized how exact the numbers were. This is indeed odd, Your Excellency. I know of no other disease that works this way. Look, here’s an entry where a hundred scouts were sent into the mists, and precisely sixteen of them fell sick!”
Elend looked troubled.
“What?” Vin asked.
“This is wrong, Vin,” Elend said. “Very wrong.”
“It’s like the chaos of normal random statistics has broken down,” Noorden said. “A population should never react this precisely—there should be a curve of probability, with smaller populations reflecting the expected percentages least accurately.”
“At the very least,” Elend said, “the sickness should affect the elderly in different ratios from the healthy.”
“In a way, it does,” Noorden said as one of his assistants handed him a paper with further calculations. “The deaths respond that way, as we would expect. But, the total number who fall sick is always sixteen percent! We’ve been paying so much attention to how many died, we didn’t notice how unnatural the percentages of those stricken were.”
Elend stood. “Check on this, Noorden,” he said, gesturing toward the ledger. “Do interviews, make certain the data hasn’t been changed by Ruin, and find out if this trend holds. We can’t jump to conclusions with only four or five examples. It could all just be a large coincidence.”
“Yes, Your Excellency,” Noorden said, looking a bit shaken. “But . . . what if