https://file.aiquickdraw.com/mathbot/file/1723477588691o036dztc.jpg

Graphical reasoning:find the range of the data setrepresented by the display or graph.

The image provided shows a stem-and-leaf plot with the following dataThe image provided shows a stem-and-leaf plot with the following 

- **Stem:** 0 | **Leaves:** 5, 5, 9
- **Stem:** 1 | **Leaves:** 1, 3, 4, 6, 9
- **Stem:** 2 | **Leaves:** 5, 7, 9, 9
- **Stem:** 3 | **Leaves:** 0, 1, 5, 5, 5, 5
- **Stem:** 4 | **Leaves:** 7, 7, 9
- **Stem:** 5 | **Leaves:** 3, 4, 7
- **Stem:** 6 | **Leaves:** 3, 4, 7

### Key:
The key indicates that a stem of "0" and a leaf of "5" corresponds to the value 0.5.

### To find the range of the dataThe image provided shows a stem-and-leaf plot with the following 

- **Stem:** 0 | **Leaves:** 5, 5, 9
- **Stem:** 1 | **Leaves:** 1, 3, 4, 6, 9
- **Stem:** 2 | **Leaves:** 5, 7, 9, 9
- **Stem:** 3 | **Leaves:** 0, 1, 5, 5, 5, 5
- **Stem:** 4 | **Leaves:** 7, 7, 9
- **Stem:** 5 | **Leaves:** 3, 4, 7
- **Stem:** 6 | **Leaves:** 3, 4, 7

### Key:
The key indicates that a stem of "0" and a leaf of "5" corresponds to the value 0.5.

### To find the range of the 
1. **Smallest Value:** 
   - The smallest value is in the first stem (0) with a leaf of 5, which represents **0.5**.

2. **Largest Value:** 
   - The largest value is in the last stem (6) with a leaf of 7, which represents **6.7**.

### **Range Calculation:**
\[
\text{Range} = \text{Largest Value} - \text{Smallest Value} = 6.7 - 0.5 = 6.2
\]

### **Range of the data set:** 6.2

Would you like any further details or have any other questions?

### Related Questions:
1. What does a stem-and-leaf plot represent in a dataset?
2. How do you interpret the key in a stem-and-leaf plot?
3. What is the mode of the given data set?
4. How would you calculate the median from this stem-and-leaf plot?
5. What are the advantages of using a stem-and-leaf plot?
6. Can you find the mean of the data set represented by this plot?
7. How does the range provide insight into the data's spread?
8. How can outliers affect the range in a data set?

### Tip:
A stem-and-leaf plot is particularly useful for small data sets because it retains the original data values while also showing the distribution of the data.

Understand how to find the range of a data set represented by a stem-and-leaf plot. This example shows detailed steps on interpreting the plot, identifying the smallest and largest values, and calculating the range. Suitable for high school students learning data visualization and basic statistics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation