# Median and range puzzle | Data and statistics | 6th grade | Khan Academy | Summary and Q&A

110.8K views
February 5, 2015
by
Median and range puzzle | Data and statistics | 6th grade | Khan Academy

## TL;DR

In a hypothetical scenario of a car dealership, the video examines the possibility of a salesperson selling more than 10 cars based on the given median value and range.

## Install to Summarize YouTube Videos and Get Transcripts

### Q: Can a salesperson in the scenario sell more than 10 cars?

No, it is not possible for a salesperson to sell more than 10 cars. This is because the range of car sales is only four, and the median value is six, indicating that the maximum number of cars sold will be 10.

### Q: How is the range calculated?

The range is calculated by subtracting the minimum number of cars sold from the maximum number. It represents the difference between the highest and lowest car sales.

### Q: Why is it not possible for the minimum value to be seven?

It is not possible for the minimum value to be seven because the given median value is six. In a dataset with an odd number of data points, the median represents the middle value, and there will always be values lower than the median. Thus, the minimum value must be equal to or lower than six.

### Q: What does the median value represent?

The median value represents the middle number in an ordered list of numbers. In the context of the car sales scenario, it indicates the car sales number that divides the dataset into two equal halves.

## Summary & Key Takeaways

• The video presents a scenario of a car dealership with 11 salespeople and records their weekly car sales.

• The median car sold is stated to be six, representing the middle number in the ordered list of car sales.

• The range of car sales is described as four, calculated by subtracting the minimum number of cars sold from the maximum.