GMAT: Math 12 | Problem solving | GMAT | Khan Academy

TL;DR

The content explains how to find the median of a given set of numbers, solve arithmetic equations, and determine the yield of an investment.

Transcript

We're on problem 65. They wrote 2, 4, 6, 8, n, 3, 5, 7, and 9. And they tell us, in the list above, if n is an integer between 1 and 10, inclusive-- so that means n could be 1, and it could be 10, or any number inbetween, and it's an integer-- then the median must be-- the median, right, not the mean, the median. So the median means the middle numb... Read More

Key Insights

• #️⃣ The median is the middle number in a set of numbers when arranged in ascending order, or the average of the two middle numbers in the case of an even number of numbers.
• 🙃 Arithmetic equations can be solved by performing operations on both sides of the equation to isolate the variable.
• 📞 The yield of an investment is determined using a formula that incorporates the purchase price, dividend received, selling price, and yield percentage.

Questions & Answers

Q: How do you find the median of a set of numbers?

To find the median, you arrange the numbers in ascending order and determine the middle number. If there are an even number of numbers, you average the two middle numbers.

Q: How do you solve arithmetic equations?

Arithmetic equations can be solved by performing the necessary operations on both sides of the equation. You can simplify the equation by combining like terms and isolating the variable.

Q: How is the yield of an investment calculated?

The yield of an investment is calculated using the formula: yield = (purchase price * dividend + selling price - purchase price) / purchase price. The result is then expressed as a percentage.

Q: What is the value of x in the equation y * (3x - 5) / 2 = y, where y does not equal 0?

By dividing both sides of the equation by y, you simplify it to 3x - 5 / 2 = 1. After solving for x, you find that x is equal to 7 / 3.

Summary & Key Takeaways

• The content explains how to find the median of a set of numbers by arranging them in ascending order and finding the middle number or the average of the two middle numbers.

• It demonstrates how to solve arithmetic equations by substituting values and performing the necessary operations.

• The content also covers the calculation of yield for an investment using a formula that includes the purchase price, dividend received, selling price, and the yield percentage.