High School Statistics Course

Bar Graphs

Bar graphs are useful for visualizing categorical data. Each bar's height represents the frequency of a category.

Example: Survey results showing favorite fruits among 50 participants.

Measures of Central Tendency

Central tendency measures include:

Enter your dataset to explore these measures:

Measures of Spread

Measures of spread help understand data variability. These include:

Histograms & Frequency Polygons

Histograms group data into intervals, showing frequency distribution.

Scatter Graphs & Regression

Scatter graphs display relationships between two variables. Regression lines help identify trends.

Introduction to Probability

Probability is the likelihood of an event occurring. Key terms include:

Example: Tossing a coin 10 times. Calculate the probability of getting heads.

Time Series Analysis

Time series analysis examines data points collected over time. Moving averages smooth trends.

1. Random Variable

A random variable represents numerical outcomes of a random phenomenon. There are two types:

  • Discrete: Takes on specific values (e.g., rolling a die has possible outcomes 1 through 6).
  • Continuous: Takes on a range of values (e.g., the height of individuals in a population).

Random variables are fundamental in probability and statistics, used to model and analyze data.

2. Conditional Probability

Conditional probability is the probability of an event occurring given that another event has occurred. For example, the probability of rain given cloudy skies is higher than without that condition. It is defined as:

P(A|B) = P(A ∩ B) / P(B)