What is a frequency distribution? Form a grouped frequency table of intervals 0-10, 10-20 etc. from the following data: 5, 23, 49, 50, 38, 37, 25, 30, 29, 42, 37, 18, 12, 13, 9, 18, 27, 12, 50, 47, 48, 29, 30, 32, 37, 27, 41, 19, 32, 27.

A **frequency distribution** is a summary of how often each value or range of values occurs in a dataset. It organizes data into categories or intervals, making it easier to observe the distribution and identify patterns or trends.

Let's create a grouped frequency table with intervals of 0–10, 10–20, etc., for the provided dataA **frequency distribution** is a summary of how often each value or range of values occurs in a dataset. It organizes data into categories or intervals, making it easier to observe the distribution and identify patterns or trends.

Let's create a grouped frequency table with intervals of 0–10, 10–20, etc., for the provided 

### Data:
\[5, 23, 49, 50, 38, 37, 25, 30, 29, 42, 37, 18, 12, 13, 9, 18, 27, 12, 50, 47, 48, 29, 30, 32, 37, 27, 41, 19, 32, 27\]

### Frequency Table

| Interval | Frequency |
|----------|-----------|
| 0–10     | 2         |
| 10–20    | 6         |
| 20–30    | 8         |
| 30–40    | 7         |
| 40–50    | 4         |
| 50–60    | 3         |

#### Explanation
- **0–10**: There are 2 values (5, 9).
- **10–20**: There are 6 values (18, 12, 13, 12, 18, 19).
- **20–30**: There are 8 values (23, 25, 27, 27, 29, 29, 27, 27).
- **30–40**: There are 7 values (30, 30, 32, 32, 37, 37, 37).
- **40–50**: There are 4 values (42, 41, 47, 48).
- **50–60**: There are 3 values (50, 50, 49).

Would you like to dive deeper into any part of this process or explore related questions?

### Relative Questions
1. What is the purpose of a frequency distribution?
2. How can we interpret patterns in a frequency distribution?
3. What is the difference between a grouped and an ungrouped frequency distribution?
4. How do you determine appropriate intervals for grouping data?
5. What are some common uses of frequency distributions in statistics?

**Tip:** When creating frequency distributions, choose intervals that suit the data range and provide a clear view of the distribution pattern.

What is a frequency distribution? Form a grouped frequency table of intervals 0-10, 10-20 etc. from the following data

Learn how to create a grouped frequency distribution table using a set of data with intervals of 0-10, 10-20, and so on. This problem demonstrates organizing data into categories for statistical analysis, with examples from provided data like 5, 23, 49, and others. Suitable for students in Grades 7-9.

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