Wed, 1/22, Intro1.1, 1.2, MAT123, Spring 2025

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MAT123 Spring 2025 Notes

Wed, 1/22, Intro1.1, 1.2

1.1 Definitions of Statistics, Probability , and Key Terms: a) Distinguish populations and samples; b) Distinguish parameters and statistics
1.2 Data, Sampling, and Variation in Data and Sampling: a) Classify data into categories of categorical, quantitative, discrete, continuous.; b) Distinguish different types of sampling 1

Discrete or Continuous

CONTINUOUS - all numbers are used over the desired interval
You might have data that are real numbers on a range 0 < x < 6: numbers like 4.387, .58, 5.55555... or you might have real numbers from -3 to 5. Examples:

· the length of a fish, measured in meters with a meter stick or tape
(real numbers)

· a length of time, as in how many months till a birthday
· a height,
· a weight
· the temperatures on Wednesday mornings in January

DISCRETE - only certain numbers are used over the desired interval
You might have data that are integers: numbers like -3, 0, -10, 4, 6, 10, 11, or natural (counting) numbers: numbers like 1, 2, 3, 4, ... Examples:

· the length of fish, measured to the nearest half inch
(whole numbers and halves only)

· a number of things, as in how many nickels there are in a jar,
/ (whole numbers)

· a shoe size, as in 8, 8 1/2, 9, 9 1/2
· a grade in school, as in: 1st, 2nd, 3rd
· a night's win (+) or loss (-) in dollar bets (integers)

Population, Sample, Data, Statistic

SAMPLE - a collection - 1, more than 1, or perhaps all (here, you would know this by emptying or filling the tank).

POPULATION - a collection of all the items under consideration (here, you would know this by emptying or filling the tank).

STATISTICAL SAMPLE - a collection of raw data - counts, lengths, durations of time, test scores, integers, real numbers, etc.

STATISTICAL POPULATION - a collection of all the raw data - counts, lengths, durations of time, test scores, integers, real numbers, etc.
One usually does not examine the entire population. Population statistics are often given in a situation. You might be studing the statistical sample.

DATA or DATA POINT or RAW DATA - 1 piece of information -- as in the length of a fish, as in the number of fins on a fish, as in the color of a fish.

STATISTIC - the processed information -- as in the average length of all the fish in the sample.

mathnstuff.com/math/spoken/here/2class/90/fishvoc.htm#continuous
parametric
statistics vocabulary

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