ISEE Upper Level (grades 9-12) Quantitative Reasoning

ISEE Upper Level Quantitative Reasoning focuses on developing advanced mathematical skills and problem-solving abilities for high school students.

Numbers and OperationsAlgebraic ThinkingData Analysis and Probability
Functions and GraphsGeometry and Spatial ReasoningInequalities and Absolute Value
Budgeting and Financial LiteracyPlanning and SchedulingUnderstanding Statistics in Daily Life
Process of EliminationEstimating and Checking
Numbers and Operatio...Algebraic ThinkingData Analysis and Pr...Functions and GraphsGeometry and Spatial...Inequalities and Abs...Budgeting and Financ...Planning and Schedul...Understanding Statis...Process of Eliminati...Estimating and Check...
Basic Concepts

Data Analysis and Probability

Making Sense of Data

Data analysis is about collecting, organizing, and interpreting information to make smart decisions. This might include reading graphs, finding averages, or understanding trends.

Measures of Central Tendency

These are ways to describe the "center" of a data set:

  • Mean (average): Add up all numbers and divide by how many you have.
  • Median: The middle number when data is ordered.
  • Mode: The number that appears most often.

Introduction to Probability

Probability measures the chance that something will happen. It's written as a number between 0 (impossible) and 1 (certain).

Everyday Use

You use data and probability when you decide what movie to watch based on ratings or predict the weather from forecasts.

Examples

  • If test scores are 80, 85, 90, 85, and 100, the mode is 85.

  • The probability of flipping a coin and getting heads is \( \frac{1}{2} \).

In a Nutshell

Data analysis and probability help you interpret information and understand the likelihood of events.

Next
Functions and Graphs