The histogram to the right represents the weights​ (in pounds) of members of a certain​ high-school 

debatedebate 

team.

What is the class​ width? What are the approximate lower and upper class limits of the first​ class?

To determine the **class width**, the **lower class limit**, and the **upper class limit** from a histogram, follow these steps:

### 1. **Class Width:**
The class width can be found by subtracting the lower limit of one class from the lower limit of the next class (or similarly using the upper limits).

**Formula:**
\[
\text{Class Width} = \text{Lower Limit of Next Class} - \text{Lower Limit of Current Class}
\]

From the histogram, observe the starting points (lower limits) of two consecutive classes to apply this formula.

### 2. **Lower and Upper Class Limits of the First Class:**
- **Lower Class Limit:** This is the smallest value in the first class (leftmost interval in the histogram).
- **Upper Class Limit:** This is the largest value in the first class.

Use the ranges displayed on the horizontal axis of the histogram to determine these limits.

### Example (if the histogram shows ranges like 100-110, 110-120, etc.):
- **Class width:** The difference between consecutive lower limits (e.g., \( 110 - 100 = 10 \)).
- **Lower class limit of first class:** 100 (first value in the range).
- **Upper class limit of first class:** 109 (since the next class starts at 110, the upper limit would be one less).

If you upload an image of the histogram, I can provide precise values based on the actual data displayed.

Would you like to provide more details or an image for further clarification?

---

Here are five related questions you can explore:
1. How do you calculate the midpoint of each class?
2. How do you determine the frequency for each class from the histogram?
3. How would you calculate the relative frequency for each class?
4. What are the class boundaries, and how do they differ from class limits?
5. How can you use histograms to identify skewness in data?

**Tip:** Always ensure the class widths are consistent to avoid misleading interpretations of the data.

The histogram to the right represents the weights​ (in pounds) of members of a certain high-school debate team. What is the class​ width? What are the approximate lower and upper class limits of the first​ class?

Understand how to calculate the class width and determine the approximate lower and upper class limits from a histogram. This example explores statistical concepts for students in Grades 9-12 using histogram data representing high-school debate team weights.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation