give me examples for all of them
statistical question – a question with multiple possible answers
statistics – a branch of math that deals with the collection and analysis of data
variability – the quality of being subject to change
dataset – a collection of related data or information
numerical dataset – a collection of related data in which each data point is a number
statistics – a branch of math that deals with the collection and analysis of data
bin – a group of data points in a histogram
range – the difference between the highest and lowest values in a dataset
mean – the average of a set of numbers
median – the middle value in a set of numbers when they are arranged in numerical order
standard deviation – a measure of how spread out the values in a dataset are
probability – the likelihood of a specific event occurring
sampling – the process of selecting a subset of individuals from a larger population for research purposes
correlation – a statistical measure that indicates the extent to which two variables are related
give me examples
Statistical question: What is the average age of students in a school?
Variability: The stock market prices fluctuate daily.
Dataset: A dataset containing the heights of students in a classroom.
Numerical dataset: A dataset showing the test scores of students in a class.
Bin: A histogram displaying ages of people in bins of 10 years (e.g., 20-29, 30-39, etc.).
Range: In a dataset of 10, 15, 20, 25, and 30, the range is 20 (30-10).
Mean: The mean of the numbers 5, 10, 15, and 20 is 12.5.
Median: In a dataset of 2, 4, 6, 8, and 10, the median is 6.
Standard deviation: In a dataset where most values are close to the mean, the standard deviation is low.
Probability: The probability of flipping a coin and getting heads is 0.5.
Sampling: A researcher selecting a random group of people to participate in a survey.
Correlation: There is a negative correlation between the number of hours spent studying and the number of mistakes made on an exam.