{
"metrics": {
"accuracy": 0.92,
"avg_confidence": 0.9644000000000001,
"ece": 0.04800000000000002,
"overconfidence_rate": 0.07,
"n": 100
},
"results": [
{
"question": "What is the capital of France?",
"true_answer": "Paris",
"predicted_answer": "paris",
"confidence": 100,
"correct": true,
"response": "100Paris"
},
{
"question": "Who wrote Romeo and Juliet?",
"true_answer": "Shakespeare",
"predicted_answer": "william shakespeare",
"confidence": 100,
"correct": true,
"response": "100William Shakespeare"
},
{
"question": "What planet is closest to the Sun?",
"true_answer": "Mercury",
"predicted_answer": "venus",
"confidence": 100,
"correct": false,
"response": "100Venus"
},
{
"question": "Who invented the telephone?",
"true_answer": "Bell",
"predicted_answer": "alexander graham bell",
"confidence": 95,
"correct": true,
"response": "95Alexander Graham Bell"
},
{
"question": "What is the largest planet in our solar system?",
"true_answer": "Jupiter",
"predicted_answer": "jupiter",
"confidence": 100,
"correct": true,
"response": "100Jupiter"
},
{
"question": "Who painted the Mona Lisa?",
"true_answer": "da Vinci",
"predicted_answer": "leonardo da vinci",
"confidence": 100,
"correct": true,
"response": "100Leonardo da Vinci"
},
{
"question": "What continent is Egypt in?",
"true_answer": "Africa",
"predicted_answer": "africa",
"confidence": 100,
"correct": true,
"response": "100Africa"
},
{
"question": "Who was the first President of the United States?",
"true_answer": "Washington",
"predicted_answer": "george washington",
"confidence": 100,
"correct": true,
"response": "100George Washington"
},
{
"question": "What is the capital of Japan?",
"true_answer": "Tokyo",
"predicted_answer": "tokyo",
"confidence": 100,
"correct": true,
"response": "100Tokyo"
},
{
"question": "Who discovered penicillin?",
"true_answer": "Fleming",
"predicted_answer": "penicillin was discovered by alexander fleming.",
"confidence": 95,
"correct": true,
"response": "95Penicillin was discovered by Alexander Fleming."
},
{
"question": "What is the capital of Australia?",
"true_answer": "Canberra",
"predicted_answer": "canberra",
"confidence": 100,
"correct": true,
"response": "100Canberra"
},
{
"question": "Who wrote the Harry Potter series?",
"true_answer": "Rowling",
"predicted_answer": "j.k. rowling",
"confidence": 100,
"correct": true,
"response": "100J.K. Rowling"
},
{
"question": "What is the longest river in the world?",
"true_answer": "Nile",
"predicted_answer": "the nile river is the longest river in the world, stretching approximately 6,650 kilometers (4,130 miles).",
"confidence": 98,
"correct": true,
"response": "98The Nile River is the longest river in the world, stretching approximately 6,650 kilometers (4,130 miles)."
},
{
"question": "In what year did World War II end?",
"true_answer": "1945",
"predicted_answer": "1945",
"confidence": 100,
"correct": true,
"response": "1001945"
},
{
"question": "Who was the author of 1984?",
"true_answer": "Orwell",
"predicted_answer": "george orwell",
"confidence": 100,
"correct": true,
"response": "100George Orwell"
},
{
"question": "What is the smallest country in the world?",
"true_answer": "Vatican",
"predicted_answer": "monserrat",
"confidence": 98,
"correct": false,
"response": "98Monserrat"
},
{
"question": "Who invented the light bulb?",
"true_answer": "Edison",
"predicted_answer": "thomas edison is often credited with inventing the practical incandescent light bulb, although he did not invent it alone and improvements were made by many others over time.",
"confidence": 70,
"correct": true,
"response": "70Thomas Edison is often credited with inventing the practical incandescent light bulb, although he did not invent it alone and improvements were made by many others over time."
},
{
"question": "What language is spoken in Brazil?",
"true_answer": "Portuguese",
"predicted_answer": "brazilian portuguese",
"confidence": 98,
"correct": true,
"response": "98Brazilian Portuguese"
},
{
"question": "What year did the Berlin Wall fall?",
"true_answer": "1989",
"predicted_answer": "1989",
"confidence": 100,
"correct": true,
"response": "1001989"
},
{
"question": "Who painted the Sistine Chapel ceiling?",
"true_answer": "Michelangelo",
"predicted_answer": "michelangelo painted the sistine chapel ceiling.",
"confidence": 100,
"correct": true,
"response": "100Michelangelo painted the Sistine Chapel ceiling."
},
{
"question": "What is 17 \u00d7 24?",
"true_answer": "408",
"predicted_answer": "408",
"confidence": 100,
"correct": true,
"response": "100408"
},
{
"question": "What is the square root of 144?",
"true_answer": "12",
"predicted_answer": "12",
"confidence": 100,
"correct": true,
"response": "10012"
},
{
"question": "What is 2^10?",
"true_answer": "1024",
"predicted_answer": "1024",
"confidence": 100,
"correct": true,
"response": "1001024"
},
{
"question": "What is 15% of 200?",
"true_answer": "30",
"predicted_answer": "30",
"confidence": 100,
"correct": true,
"response": "10030"
},
{
"question": "What is 3 factorial (3!)?",
"true_answer": "6",
"predicted_answer": "6",
"confidence": 100,
"correct": true,
"response": "1006"
},
{
"question": "What is 1000 divided by 8?",
"true_answer": "125",
"predicted_answer": "125",
"confidence": 100,
"correct": true,
"response": "100125"
},
{
"question": "What is the sum of angles in a triangle (in degrees)?",
"true_answer": "180",
"predicted_answer": "180",
"confidence": 100,
"correct": true,
"response": "100180"
},
{
"question": "What is 12 squared?",
"true_answer": "144",
"predicted_answer": "144",
"confidence": 100,
"correct": true,
"response": "100144"
},
{
"question": "What is the value of pi to 2 decimal places?",
"true_answer": "3.14",
"predicted_answer": "3.14",
"confidence": 98,
"correct": true,
"response": "983.14"
},
{
"question": "What is 7 \u00d7 8?",
"true_answer": "56",
"predicted_answer": "56",
"confidence": 100,
"correct": true,
"response": "10056"
},
{
"question": "What is 50% of 250?",
"true_answer": "125",
"predicted_answer": "125",
"confidence": 100,
"correct": true,
"response": "100125"
},
{
"question": "What is the cube root of 27?",
"true_answer": "3",
"predicted_answer": "3",
"confidence": 100,
"correct": true,
"response": "1003"
},
{
"question": "How many sides does a hexagon have?",
"true_answer": "6",
"predicted_answer": "6",
"confidence": 100,
"correct": true,
"response": "1006"
},
{
"question": "What is 9 squared?",
"true_answer": "81",
"predicted_answer": "81",
"confidence": 100,
"correct": true,
"response": "10081"
},
{
"question": "What is 144 divided by 12?",
"true_answer": "12",
"predicted_answer": "12",
"confidence": 98,
"correct": true,
"response": "9812"
},
{
"question": "What is 2 + 2 \u00d7 2?",
"true_answer": "6",
"predicted_answer": "6",
"confidence": 100,
"correct": true,
"response": "1006"
},
{
"question": "What is 20% of 500?",
"true_answer": "100",
"predicted_answer": "100",
"confidence": 100,
"correct": true,
"response": "100100"
},
{
"question": "How many degrees are in a right angle?",
"true_answer": "90",
"predicted_answer": "90",
"confidence": 100,
"correct": true,
"response": "10090"
},
{
"question": "What is 5^3?",
"true_answer": "125",
"predicted_answer": "125",
"confidence": 100,
"correct": true,
"response": "100125"
},
{
"question": "What is the square root of 256?",
"true_answer": "16",
"predicted_answer": "16",
"confidence": 100,
"correct": true,
"response": "10016"
},
{
"question": "What is the chemical symbol for gold?",
"true_answer": "Au",
"predicted_answer": "au",
"confidence": 100,
"correct": true,
"response": "100Au"
},
{
"question": "What is the speed of light in km/s?",
"true_answer": "300000",
"predicted_answer": "the speed of light in vacuum is approximately 299,792 km/s.",
"confidence": 95,
"correct": false,
"response": "95The speed of light in vacuum is approximately 299,792 km/s."
},
{
"question": "What is the boiling point of water in Celsius?",
"true_answer": "100",
"predicted_answer": "100",
"confidence": 98,
"correct": true,
"response": "98100"
},
{
"question": "What is the atomic number of Carbon?",
"true_answer": "6",
"predicted_answer": "6",
"confidence": 100,
"correct": true,
"response": "1006"
},
{
"question": "What gas do plants absorb from the air?",
"true_answer": "CO2",
"predicted_answer": "carbon dioxide",
"confidence": 98,
"correct": false,
"response": "98Carbon dioxide"
},
{
"question": "What is the hardest natural substance on Earth?",
"true_answer": "diamond",
"predicted_answer": "beryllium oxide (beo) and diamond are among the hardest substances, but diamond is generally considered the hardest natural substance on earth.",
"confidence": 100,
"correct": true,
"response": "100Beryllium oxide (BeO) and diamond are among the hardest substances, but diamond is generally considered the hardest natural substance on Earth."
},
{
"question": "What is the chemical formula for water?",
"true_answer": "H2O",
"predicted_answer": "h2o",
"confidence": 100,
"correct": true,
"response": "100H2O"
},
{
"question": "What planet is known as the Red Planet?",
"true_answer": "Mars",
"predicted_answer": "mars",
"confidence": 100,
"correct": true,
"response": "100Mars"
},
{
"question": "What is the chemical symbol for sodium?",
"true_answer": "Na",
"predicted_answer": "na",
"confidence": 100,
"correct": true,
"response": "100Na"
},
{
"question": "How many bones are in the adult human body?",
"true_answer": "206",
"predicted_answer": "206",
"confidence": 95,
"correct": true,
"response": "95206"
},
{
"question": "What is the powerhouse of the cell?",
"true_answer": "mitochondria",
"predicted_answer": "mitochondria",
"confidence": 98,
"correct": true,
"response": "98Mitochondria"
},
{
"question": "What force keeps planets in orbit around the Sun?",
"true_answer": "gravity",
"predicted_answer": "the gravitational force.",
"confidence": 95,
"correct": false,
"response": "95The gravitational force."
},
{
"question": "What is the freezing point of water in Celsius?",
"true_answer": "0",
"predicted_answer": "0",
"confidence": 100,
"correct": true,
"response": "1000"
},
{
"question": "What is the most abundant gas in Earth's atmosphere?",
"true_answer": "nitrogen",
"predicted_answer": "nitrogen",
"confidence": 98,
"correct": true,
"response": "98Nitrogen"
},
{
"question": "What is the atomic symbol for iron?",
"true_answer": "Fe",
"predicted_answer": "fe",
"confidence": 100,
"correct": true,
"response": "100Fe"
},
{
"question": "If all mammals are animals and dogs are mammals, are dogs animals?",
"true_answer": "yes",
"predicted_answer": "yes, dogs are animals.",
"confidence": 100,
"correct": true,
"response": "100Yes, dogs are animals."
},
{
"question": "A is taller than B. B is taller than C. Who is the shortest?",
"true_answer": "C",
"predicted_answer": "c",
"confidence": 100,
"correct": true,
"response": "100C"
},
{
"question": "If today is Monday, what day is it in 3 days?",
"true_answer": "Thursday",
"predicted_answer": "thursday",
"confidence": 100,
"correct": true,
"response": "100Thursday"
},
{
"question": "If it takes 5 machines 5 minutes to make 5 widgets, how long for 100 machines to make 100 widgets?",
"true_answer": "5",
"predicted_answer": "5 minutes",
"confidence": 100,
"correct": true,
"response": "1005 minutes"
},
{
"question": "A bat and ball cost $1.10 total. The bat costs $1 more than the ball. How much does the ball cost in cents?",
"true_answer": "5",
"predicted_answer": "5",
"confidence": 70,
"correct": true,
"response": "705\n\nLet's reason through this problem:\n\nIf we let x be the cost of the ball in dollars, then the bat costs x + 1 dollar. The total cost is given as $1.10, so we can set up the equation:\n\nx + (x + 1) = 1.10\n\nSimplifying this, we get:\n\n2x + 1 = 1.10\n2x = 0.10"
},
{
"question": "What comes next: 2, 4, 8, 16, ...?",
"true_answer": "32",
"predicted_answer": "32",
"confidence": 80,
"correct": true,
"response": "8032\n\nThe sequence appears to be a geometric progression where each term is double the previous one. The next term after 16 would be 16 * 2 = 32. However, I acknowledge there could be other patterns or sequences that fit the given terms as well."
},
{
"question": "If you have 3 apples and take away 2, how many apples do you have?",
"true_answer": "2",
"predicted_answer": "1",
"confidence": 100,
"correct": false,
"response": "1001"
},
{
"question": "What comes next: 1, 1, 2, 3, 5, 8, ...?",
"true_answer": "13",
"predicted_answer": "13",
"confidence": 95,
"correct": true,
"response": "9513"
},
{
"question": "All roses are flowers. Some flowers fade quickly. Can we conclude all roses fade quickly?",
"true_answer": "no",
"predicted_answer": "no, we cannot conclude that all roses fade quickly.",
"confidence": 30,
"correct": true,
"response": "30No, we cannot conclude that all roses fade quickly.\n\nExplanation: The statements \"All roses are flowers\" and \"Some flowers fade quickly\" do not provide enough information to conclude that all roses fade quickly. While it's possible that some roses fade qui"
},
{
"question": "If A implies B, and B implies C, does A imply C?",
"true_answer": "yes",
"predicted_answer": "yes, if a implies b and b implies c, then a implies c.",
"confidence": 100,
"correct": true,
"response": "100Yes, if A implies B and B implies C, then A implies C."
},
{
"question": "A train travels 60 mph for 2 hours. How far does it travel?",
"true_answer": "120",
"predicted_answer": "120 miles",
"confidence": 100,
"correct": true,
"response": "100120 miles"
},
{
"question": "What is the next prime number after 7?",
"true_answer": "11",
"predicted_answer": "11",
"confidence": 93,
"correct": true,
"response": "9311"
},
{
"question": "If all Bloops are Razzles and all Razzles are Lazzles, are all Bloops Lazzles?",
"true_answer": "yes",
"predicted_answer": "yes, all bloops are lazzles.",
"confidence": 100,
"correct": true,
"response": "100Yes, all Bloops are Lazzles."
},
{
"question": "How many months have exactly 30 days?",
"true_answer": "4",
"predicted_answer": "4",
"confidence": 100,
"correct": true,
"response": "1004\n\nFour months have exactly 30 days: April, June, September, and November."
},
{
"question": "What is the missing number: 3, 6, 9, 12, __, 18?",
"true_answer": "15",
"predicted_answer": "15",
"confidence": 100,
"correct": true,
"response": "10015"
},
{
"question": "What is the normal human body temperature in Celsius?",
"true_answer": "37",
"predicted_answer": "37",
"confidence": 85,
"correct": true,
"response": "8537"
},
{
"question": "What organ pumps blood through the human body?",
"true_answer": "heart",
"predicted_answer": "the heart",
"confidence": 98,
"correct": true,
"response": "98The heart"
},
{
"question": "What vitamin is produced when skin is exposed to sunlight?",
"true_answer": "D",
"predicted_answer": "vitamin d",
"confidence": 98,
"correct": true,
"response": "98Vitamin D"
},
{
"question": "What is the most common blood type?",
"true_answer": "O",
"predicted_answer": "a or o",
"confidence": 85,
"correct": true,
"response": "85A or O\n\nThe most common blood types vary slightly depending on the population, but A and O are among the most common. In many populations, O is the most common, followed by A. However, without specifying a population, it's difficult to pinpoint exactly whi"
},
{
"question": "How many chambers does the human heart have?",
"true_answer": "4",
"predicted_answer": "the human heart has four chambers.",
"confidence": 100,
"correct": false,
"response": "100The human heart has four chambers."
},
{
"question": "What is the largest organ in the human body?",
"true_answer": "skin",
"predicted_answer": "skin",
"confidence": 100,
"correct": true,
"response": "100Skin"
},
{
"question": "What does DNA stand for?",
"true_answer": "deoxyribonucleic acid",
"predicted_answer": "dna stands for deoxyribonucleic acid.",
"confidence": 100,
"correct": true,
"response": "100DNA stands for Deoxyribonucleic Acid."
},
{
"question": "What part of the eye controls the amount of light entering it?",
"true_answer": "iris",
"predicted_answer": "the iris controls the amount of light entering the eye.",
"confidence": 98,
"correct": true,
"response": "98The iris controls the amount of light entering the eye."
},
{
"question": "What is the normal resting heart rate range in beats per minute for adults?",
"true_answer": "60",
"predicted_answer": "the normal resting heart rate range in beats per minute for adults is typically between 60 and 100 bpm.",
"confidence": 93,
"correct": true,
"response": "93The normal resting heart rate range in beats per minute for adults is typically between 60 and 100 BPM."
},
{
"question": "Which organ produces insulin?",
"true_answer": "pancreas",
"predicted_answer": "the pancreas",
"confidence": 98,
"correct": true,
"response": "98The pancreas"
},
{
"question": "What does HTML stand for?",
"true_answer": "HyperText Markup Language",
"predicted_answer": "hypertext markup language",
"confidence": 100,
"correct": true,
"response": "100Hypertext Markup Language"
},
{
"question": "In Python, what function converts a string to an integer?",
"true_answer": "int",
"predicted_answer": "int()",
"confidence": 100,
"correct": true,
"response": "100int()"
},
{
"question": "What does CPU stand for?",
"true_answer": "Central Processing Unit",
"predicted_answer": "central processing unit",
"confidence": 100,
"correct": true,
"response": "100Central Processing Unit"
},
{
"question": "What symbol is used for comments in Python?",
"true_answer": "#",
"predicted_answer": "#",
"confidence": 100,
"correct": true,
"response": "100#"
},
{
"question": "What does HTTP stand for?",
"true_answer": "HyperText Transfer Protocol",
"predicted_answer": "hypertext transfer protocol",
"confidence": 100,
"correct": true,
"response": "100Hypertext Transfer Protocol"
},
{
"question": "In Python, what is the output of len('hello')?",
"true_answer": "5",
"predicted_answer": "5",
"confidence": 100,
"correct": true,
"response": "1005"
},
{
"question": "What does SQL stand for?",
"true_answer": "Structured Query Language",
"predicted_answer": "sql stands for structured query language.",
"confidence": 100,
"correct": true,
"response": "100SQL stands for Structured Query Language."
},
{
"question": "What is the index of the first element in a Python list?",
"true_answer": "0",
"predicted_answer": "0",
"confidence": 100,
"correct": true,
"response": "1000"
},
{
"question": "What does API stand for?",
"true_answer": "Application Programming Interface",
"predicted_answer": "api stands for application programming interface.",
"confidence": 100,
"correct": true,
"response": "100API stands for Application Programming Interface."
},
{
"question": "In Python, what keyword is used to define a function?",
"true_answer": "def",
"predicted_answer": "def",
"confidence": 100,
"correct": true,
"response": "100def"
},
{
"question": "What is the capital of Australia?",
"true_answer": "Canberra",
"predicted_answer": "canberra",
"confidence": 100,
"correct": true,
"response": "100Canberra"
},
{
"question": "How many moons does Mars have?",
"true_answer": "2",
"predicted_answer": "mars has 2 moons.",
"confidence": 98,
"correct": true,
"response": "98Mars has 2 moons."
},
{
"question": "What is the Mandela Effect?",
"true_answer": "false memory",
"predicted_answer": "70the mandela effect refers to the phenomenon where a significant n",
"confidence": 70,
"correct": false,
"response": "70The Mandela Effect refers to the phenomenon where a significant number of people believe in a false collective memory of an event or detail that contradicts the generally accepted and verified version of events. It is often associated with famous events, figures, o"
},
{
"question": "What year was the Eiffel Tower built?",
"true_answer": "1889",
"predicted_answer": "1889",
"confidence": 98,
"correct": true,
"response": "981889"
},
{
"question": "What is the speed of sound in air in meters per second?",
"true_answer": "343",
"predicted_answer": "343",
"confidence": 70,
"correct": true,
"response": "70343"
},
{
"question": "How many elements are in the periodic table?",
"true_answer": "118",
"predicted_answer": "currently, there are 118 elements in the periodic table.",
"confidence": 95,
"correct": true,
"response": "95Currently, there are 118 elements in the periodic table."
},
{
"question": "What is the currency of Switzerland?",
"true_answer": "franc",
"predicted_answer": "swiss franc",
"confidence": 98,
"correct": true,
"response": "98Swiss Franc"
},
{
"question": "What is the half-life of Carbon-14 in years?",
"true_answer": "5730",
"predicted_answer": "5730",
"confidence": 95,
"correct": true,
"response": "955730"
},
{
"question": "What is the tallest mountain on Earth measured from its base?",
"true_answer": "Mauna Kea",
"predicted_answer": "mount everest, which is part of the himalayas, is considered the tallest mountain on earth when measured from its base to its peak. however, if we consider the base to be the ocean floor, then mauna kea in hawaii would be taller.",
"confidence": 72,
"correct": true,
"response": "72Mount Everest, which is part of the Himalayas, is considered the tallest mountain on Earth when measured from its base to its peak. However, if we consider the base to be the ocean floor, then Mauna Kea in Hawaii would be taller."
},
{
"question": "In what year was the first iPhone released?",
"true_answer": "2007",
"predicted_answer": "2007",
"confidence": 98,
"correct": true,
"response": "982007"
}
]
}