Understanding Measures of Dispersion, Data Types, and Estimation
Understanding Measures of Dispersion
Measures of dispersion help us understand how spread out or scattered the values in a dataset are. The choice of the appropriate measure of dispersion depends on the nature of the data, the type of variable, and whether the data contains outliers. Here’s a breakdown of the most commonly used measures of dispersion and when they are suitable:
1. Range
Definition: The difference between the highest and lowest values in a dataset.
2. Interquartile Range (IQR)
Definition:
Read MoreUnderstanding Budgets, Orders, Deliveries, and Invoices
Budget
A budget is a document in which a company or customer information professional determines product costs or services.
Important Notes:
- Cost of materials or products.
- Time a professional will dedicate to a client and their fee rate.
- Contribution to general consultation costs.
Other Information:
Complete and detailed description of the service to be provided, unit price of each product or service, and total price to charge customers.
Things to be Aware Of:
- Support services VAT.
- VAT not included.
- VAT exempt
Geometry Theorems and Formulas: A Quick Reference
Geometry Theorems and Formulas
Theorems and Postulates
- AA (Angle-Angle): If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
- SAS (Side-Angle-Side): If two sides and the included angle of one triangle are proportional to two sides and the included angle of another triangle, then the triangles are similar (ab/de = ac/df).
Shapes
- Opposite angles are always supplementary.
Parallelogram
- Opposite sides are parallel and congruent.
- Opposite angles are congruent.
Understanding Sales Invoices: Key Elements & Regulations
Understanding Sales Invoices
1. An invoice is a document that legally justifies a sale and purchase transaction, constructed in line with data from invoices and order forms. It is issued by the seller of the property.
The invoice differs from a sales slip in that it also includes the characteristics of the rated slip, expenses, transport, insurance, freight, and discounts.
2. It is created using data from invoices and order notes.
3. It is issued by the seller of the property.
4. The invoice includes
Read MoreProbability Exercises: Binomial, Poisson, and Normal Distributions
Binomial Distribution
- What is the probability of getting three prime numbers in five rolls of a die?
- When flipping a fair coin, what is the probability of getting at least four heads in five flips?
- The state of Pennsylvania has a daily lottery. Every night, a three-digit number is chosen. What is the probability of obtaining a number less than 100 more than five times in a week?
- You are hunting the whale Moby Dick. Every day, you check your ship with a boat of harpooners. There is a probability of 2/
Mastering Essential Math Concepts: Algebra to Statistics
Multiplying Binomials
Multiply (3r – 1)(2r + 3).
Use the FOIL method, keeping the largest exponent on the left. Multiply each number on the left by both numbers on the right.
This gives you 6r2 + 9r – 2r – 3. Combine like terms, 9r – 2r = 7r. This gives you (6r2 + 7r – 3). This is the answer.
Dividing Fractions and Exponents
Divide:
When dividing two fractions, cross-multiply. When dividing exponents, subtract them. So:
Adding and Simplifying Algebraic Fractions
Add and simplify:
Finding X and Y Intercepts
Find
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