CAHSEE practice: Problems 15-16 | CAHSEE | Khan Academy

TL;DR

This video explains how to calculate the number of 3-item combinations and find the median price using given information.

Transcript

Problem 15. A restaurant is advertising 3-item combination specials that must include a main dish, a vegetable, and a drink. OK, so you have to have at least one of these. So what are they going to ask us? How many 3-item combinations include a soft drink and a corn? So let's reread what the conditions are. A restaurant is advertising 3-item combin... Read More

Key Insights

• #️⃣ The number of combinations in a scenario can be determined by considering the constraints and the available choices.
• #️⃣ The median is the middle number in a set when arranged in order, and when there is an even number of values, it is the average of the two middle numbers.
• 🖕 The process of calculating the median involves arranging the values in order and finding the middle numbers.
• 😫 The median price is a useful measure for identifying the central tendency in a set of prices.
• 💁 Problems involving combinations and medians require careful reading and understanding of the given information.
• 😫 The concept of median can also apply to other sets of data, such as test scores or population statistics.
• ❓ Median is a more robust measure than the mean as it is less affected by extreme values.

Questions & Answers

Q: How many 3-item combinations including a soft drink and a corn are there in the restaurant scenario?

There are two combinations: chicken, corn, and a soft drink, and beef, corn, and a soft drink. The vegetable and drink options have already been predetermined, so we only have freedom to choose the main dish.

Q: What is the definition of median?

The median refers to the middle number in a set of numbers when arranged in ascending or descending order. When there is an even number of values, the median is the average or mean of the two middle numbers.

Q: How do you calculate the median if there is no exact middle number?

If there is an even number of values, like in the CD player problem, you take the average of the two middle numbers. Add the two middle numbers together and divide by 2 to find the median.

Q: How do you find the median price in the CD player problem?

The median price is $24. To find it, you arrange the prices in ascending order: 21, 21, 23, 25, 31, and 39. Since there is no exact middle number, you average the two middle numbers (23 and 25).

Summary & Key Takeaways

• The video discusses a problem involving a restaurant's 3-item combination specials, where the main dish, vegetable, and drink are predetermined. The task is to determine the number of combinations that include a soft drink and a corn.

• Another problem involves finding the median price of six personal Compact Disc players. The viewer is guided through ordering the prices and calculating the median.