https://file.aiquickdraw.com/mathbot/file/17255355670224gqhd1qe.jpg

The image presents a statistics problem about a frequency distribution of weights (in kg) for 40 people. Here's a breakdown of the table and the questions being asked:

### Table:
| Weights (in kg) | 30-35 | 35-40 | 40-45 | 45-50 | 50-55 |
|-----------------|-------|-------|-------|-------|-------|
| Frequency       |   6   |   13  |   14  |   3   |   4   |

### Questions:
1. **What is the lower limit of the fourth class interval?**
2. **What is the class width of each class interval?**

#### Solutions:

1. **Lower limit of the fourth class interval:**
   - The fourth class interval is **45-50**.
   - The lower limit is the first value in this interval, so the answer is **45**.

2. **Class width of each class interval:**
   - The class width is calculated by subtracting the lower limit of a class from the lower limit of the next class.
   - For example, for the intervals 35-40 and 30-35:
     \[
     \text{Class Width} = 35 - 30 = 5
     \]
   - Therefore, the class width for each class interval is **5 kg**.

Would you like more details or clarifications on any part of the solution?

### Relative Questions:
1. What is the upper limit of the fourth class interval?
2. How do you determine the midpoint of each class interval?
3. What is the total number of people in the dataset?
4. How would you calculate the cumulative frequency for these class intervals?
5. How can you use the given table to calculate the mean weight of the 40 people?

### Tip:
In frequency distribution tables, ensure you carefully distinguish between the class limits (the actual boundaries) and the class width (the difference between consecutive lower or upper limits).

The frequency distribution of weights (in kg) of 40 persons is given below:
Weights (in kg): 30-35, 35-40, 40-45, 45-50, 50-55
Frequency: 6, 13, 14, 3, 4

What is the lower limit of the fourth class interval?
What is the class width of each class interval?

This problem involves analyzing a frequency distribution table of weights (in kg) of 40 individuals. Learn how to find the lower limit of the fourth class interval and calculate the class width for each interval. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation