Find the more than type cumulative frequency of the given distribution.

Class interval

• 0-10
• 10-20
• 20-30
• 30-40
• 40-50

Frequency

• 2
• 12
• 22
• 8
• 6

To find the more than type cumulative frequency for the given distribution, we need to calculate the cumulative frequency starting from the highest class interval and moving downwards. This method helps us understand how many observations fall above a certain value in the distribution. Let's break it down step by step.

Understanding the Data

We have the following class intervals and their corresponding frequencies:

• 0-10: 2
• 10-20: 12
• 20-30: 22
• 30-40: 8
• 40-50: 6

Calculating the More Than Type Cumulative Frequency

To find the more than type cumulative frequency, we start from the highest class interval (40-50) and work our way down to the lowest (0-10). Here’s how it’s done:

1. For the class interval 40-50, the cumulative frequency is simply the frequency of this class: 6.
2. For the class interval 30-40, we add the frequency of this class to the cumulative frequency of the next higher class: 8 (from 30-40) + 6 (from 40-50) = 14.
3. For the class interval 20-30, we add its frequency to the cumulative frequency of the next higher class: 22 (from 20-30) + 14 (from 30-40) = 36.
4. For the class interval 10-20, we do the same: 12 (from 10-20) + 36 (from 20-30) = 48.
5. Finally, for the class interval 0-10, we add its frequency: 2 (from 0-10) + 48 (from 10-20) = 50.

Summary of More Than Type Cumulative Frequencies

Now, let's summarize the more than type cumulative frequencies for each class interval:

• More than 50: 0 (no values above 50)
• More than 40: 6
• More than 30: 14
• More than 20: 36
• More than 10: 48
• More than 0: 50

This cumulative frequency distribution allows us to see how many observations exceed certain thresholds, which can be particularly useful in statistical analysis and data interpretation. If you have any further questions or need clarification on any part of this process, feel free to ask!