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.