https://file.aiquickdraw.com/mathbot/file/1728358563245aohqtbyq.jpg

The question is asking which data set has the greatest spread, which is indicated by the standard deviation. The larger the standard deviation, the more spread out the data is.

The standard deviations for the data sets are as follows:
- Data set A: 5.21
- Data set B: 4.88
- Data set C: 6.06
- Data set D: 3.39

To answer the question, we need to select the data set with the highest standard deviation. In this case, **Data set C** has the highest standard deviation of **6.06**, meaning it is the most spread out.

Thus, the correct answer is:
**C. Data set C**

Would you like further details or have any other questions?

Here are some additional questions related to the concept:
1. How is standard deviation calculated for a given data set?
2. What does a standard deviation of zero indicate about a data set?
3. How does standard deviation help in understanding data variability?
4. Can two data sets with different means have the same standard deviation?
5. How does increasing or decreasing sample size affect the standard deviation?

**Tip:** The standard deviation is a measure of how spread out the numbers in a data set are. A higher standard deviation means more variability.

The standard deviations of four data sets are shown in the table. Which of the data sets is the most spread out?

Learn how to determine the most spread out data set using standard deviation. This problem explains data variability by comparing standard deviations of four data sets: Data set A (5.21), Data set B (4.88), Data set C (6.06), and Data set D (3.39). Suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation