What is Statistics?

Statistics is a branch of mathematics that involves the collection, analysis, interpretation, presentation, and organization of data. It provides a framework for making inferences and decisions in the face of uncertainty. By utilizing various statistical methods, such as probability theory and hypothesis testing, statisticians can draw meaningful insights from datasets, enabling informed decision-making in diverse fields like economics, science, and social sciences. In essence, statistics plays a crucial role in extracting meaningful patterns and information from raw data, facilitating a deeper understanding of complex phenomena.

Questions
  • Is "The time it takes to complete an exercise session" continuous or discrete data? Why?
  • What is the expected value to gain in following game and how much one is expected to win if one plays #100# games?
  • What is the importance of descriptive statistics?
  • A family has 8 girls and 4 boys. A total of 2 children must speak on behalf of the family at a local benefit. What is the probability that at least one boy will be chosen?
  • Is the "amount of perfume in a bottle" discrete or continuous? Why?
  • Two standard dice are rolled, what is the probability of rolling a pair (both the same number)?
  • Blood types A, B, O, and AB have percentages 40%, 20%, 30% and 10%. If two individuals are chosen at random, assuming independence, how do you find probability that both blood type A?
  • Which of the following would be classified as categorical data? age, gender, height, letter grade on most recent exam, percentage correct on most recent exam, number of likes to a Facebook posting, weight, eye color, gas mileage of your car
  • Give an example of each: continuous data and discrete data.
  • Why do statisticians use samples?
  • Is a pair of dice is rolled, and the sum to appear on the dice is recorded a discrete or continuous data?
  • Is the time it takes to complete an exercise session a discrete or continuous data?
  • What is a descriptive analysis?
  • A student read that we are 95% confident that the average score of young men on the quantitative part of the National Assessment of Educational Progress is 267.8 to 276.2. ?
  • How to tell the difference between discrete or continuous random variables given the weight of bags of apples, with 20 apples in a bag?
  • Is temperature a discrete or continuous variable?
  • What is the difference between continuous data and discrete data?
  • A jar has 6 marbles, 1 blue, 1 white, 1 green, 1 yellow, 1 red, 1 black. If 5 marbles are removed at random, what is the probability that the green marble was removed?
  • Out of 8 men and 10 women, a committee consisting of 6 men and 5 women is to be formed. How many such committees can be formed when one particular man A refuses to be a member of the committee in which his boss's wife is there?
  • How do you determine whether the quantitative variable is discrete or continuous given the length of a piece of string?