Ladle

Ladle learned about fair bowls long before she learned about statistics.

Her family ran the harvest kitchen by the millpond, water voles who cooked one great pot of soup for the whole working-party at the end of each day. When she was small, she carried bowls, and one evening she boasted to a tired field-mouse, "Ours is the biggest pot on the river! Look how much soup!"

Her grandmother took her aside. "Big pot," she agreed. "How many bellies is it for?"

"Everyone. The whole party."

"And the little kitchen at Reed Corner — small pot, yes? For how many?"

"Just the six of them."

Her grandmother handed her the ladle. "Then dip our great pot and Reed Corner's little pot, and tell me which feeds each creature more." Ladle did the arithmetic on her fingers and found, to her surprise, that Reed Corner's small pot gave each of its six a deeper bowl than the great pot gave each of its hundred.

"The size of the pot isn't the kindness," her grandmother said. "The size of the bowl each belly gets is the kindness. Always ask how many mouths before you crow about the pot."

Ladle never forgot it. Years later, over a page of totals instead of a pot of soup, she would think: a big number from a big place can still be a thin bowl. Divide it by the mouths.

When she was grown, Ladle walked to the DataForge academy, her ladle in her apron pocket.

At the first bench, a young apprentice looked up. "Can you show me how you compare two places fairly?" the apprentice asked.

Ladle didn't recite. She set out two pots — one huge, one small — and filled each with the same soup. Then, instead of pointing at the bigger pot, she ladled one bowl from each, divided by the number of eaters chalked on each pot's side, and set the two fair bowls next to each other.

"When I compare two places," Ladle said, "I never trust the raw total — the total just tells me which place is bigger. I divide by the crowd: meals per person, cases per hundred, coins per family. Only then are the two bowls the same size and the comparison fair." She held the two bowls level. "A rate turns 'more' into 'more for each,' which is the only 'more' that's fair to compare across a big place and a small one."

The apprentice looked at the two level bowls. "Then I'll serve them fair," the apprentice said, and pulled up a stool for her.

In Ladle's workshop, a young hedgehog named Bramble came in cross. "The city has way more thieving than our village," he said. "A hundred thefts last month! We only had four. Cities are wicked."

"Let's ladle it out," said Ladle kindly. "How big is the city?"

"Huge. A hundred thousand folk, maybe."

"And our village?"

"About two hundred."

Ladle set two bowls on the bench and divided. "A hundred thefts among a hundred thousand people — that's one theft for every thousand. Four thefts among two hundred — that's one for every fifty." She slid the bowls together. "Per person, our village had more thieving than the city, not less. The city's big number is big because the city is big." She tapped his page. "You felt the hundred and stopped. But a hundred out of a hundred thousand is a thin bowl."

Bramble's spines settled. "So the raw counts fooled me."

"They fool everyone," Ladle said. "That's why the first question is never 'how many' — it's 'how many, out of how many.'" She nudged the ladle toward him. "Two places can only be compared once each number has been set beside its own crowd."

Bramble rewrote his note as rates, and the city stopped looking wicked and started looking simply large.