MATH 1-1 Flashcards
One of the useful statistical tools in data management is _________.
Descriptive Statistics
are statistical metrics that describe the center or typical value of a dataset. The three main measures are mean, median, and mode.
Measure of Central Tendency
Results are shown in form of charts, tables, and graphs
Descriptive Statistics
is a circular graph divided into slices to illustrate the proportion of categories in a dataset. Each slice represents a percentage of the whole.
Pie Chart
deals with organization, presentation, and analysis of data that help describe, show, or summarize data in a meaningful way.
Descriptive Statistics
is the field of study that involves collecting, analyzing, interpreting, presenting, and organizing data. It provides methods and principles that help us make sense of data and draw reliable conclusions in the face of uncertainty.
Statistics
allows for generalizing findings from a sample to a larger population.
Inference (Inferential Statistics)
This involves summarizing and organizing data using measures like mean, median, mode, variance, and standard deviation.
Descriptive Statistics
describe the spread of data values around the center of a dataset, providing insight into variability. Common measures include range, variance, standard deviation, and interquartile range (IQR).
Measures of Dispersion
derived from mathematics are useful in processing and managing data. Selection of appropriate tools and efficient use of these tools can help people organize, analyze, and interpret data.
Statistical tools
Tools: measures of central tendency, variation, and position
Descriptive Statistics
is a procedure to determine if there’s enough evidence to support a specific claim about a population parameter.
Hypothesis Testing
is a bar graph that represents the frequency distribution of a dataset, usually for continuous data. The data is grouped into bins (intervals), and the height of each bar indicates the number of data points in each bin.
Histogram
Concerned with making inferences from the sample and generalize them to the population.
Inferential Statistics
like z-scores and percentiles, indicate where a specific data point stands relative to others in the dataset. They are useful for comparing individual values to the overall dataset.
Measures of relative position
Data visualization (_______, ______, ______) helps in understanding data patterns.
histograms, pie charts, box plots
refers to the probability that a population parameter will fall between a set of values for a certain proportion of times.
Confidence Intervals
the simplest measure of dispersion, showing the difference between the highest and lowest values in a dataset.
Range
Compare, test hypothesis, and predict future outcomes.
Inferential Statistics
helps determine the significance of the test results. It represents the probability of obtaining the observed sample results if the null hypothesis is true.
P-Value
is a symmetric, bell-shaped distribution where most data points are around the mean, with fewer points farther from the center. The distribution is defined by two parameters: the mean (μ) and the standard deviation (σ). In a normal distribution:
Normal Distribution
Results are shown in statistics and probability values
Inferential Statistics
measures the average squared deviations from the mean. It indicates how spread out the data points are.
Variance
Concerned with describing the target population
Descriptive Statistics
(or standard score) indicates how many standard deviations a specific data point is from the mean of the dataset. Z-scores standardize values, making it easier to compare data points from different distributions
Z-Score
_____. is the square root of the variance, giving a measure of dispersion in the same units as the original data. It’s more interpretable than variance and reflects the typical distance of data points from the mean.
Standard deviation
indicates the relative position of a data point within a dataset by showing the percentage of data that falls below it. For instance, if a score is at the 85th percentile, it is higher than 85% of all other scores in the dataset.
Percentile
Organize, analyze, and present the data in a meaningful manner.
Descriptive Statistics
Tools: hypothesis tests, analysis of variance
Inferential Statistics