https://file.aiquickdraw.com/mathbot/file/1725814392421kf6ztm4x.jpg

CI is class interval , F is frequency ,X is the value and FX is frequency *its corresponding value find mean

I have displayed the image. Let's analyze the data and find the mean.

Looking at the table:
- \( CI \) (Class Interval) represents the range of values.
- \( F \) (Frequency) represents how many times values within that class interval appear.
- \( X \) is the midpoint of each class interval.
- \( F \times X \) is the product of frequency and the midpoint.

The formula for the mean using frequency distribution is:

\[
\text{Mean} = \frac{\sum (F \times X)}{\sum F}
\]

Let me extract the data and compute the mean.The mean value calculated from the data is approximately 46.26.

Here are the totals:
- Sum of frequencies (\(\sum F\)) = 171
- Sum of \( F \times X \) values (\(\sum (F \times X)\)) = 7910

Do you want further details or have any questions?

Here are 5 related questions for practice:
1. How would the mean change if the largest frequency increased?
2. Can you calculate the median of this distribution?
3. What does the mean represent in the context of this frequency table?
4. How can we find the mode of this distribution?
5. If you merge two adjacent class intervals, how will that affect the mean?

**Tip:** When calculating the mean for grouped data, always ensure the midpoints of the class intervals are correct, as this can significantly affect the result.

CI is class interval, F is frequency, X is the value and FX is frequency * its corresponding value. Find mean.

Learn how to calculate the mean from a frequency distribution table using the formula: Mean = (Σ(F × X)) / ΣF. This problem demonstrates the method for grouped data with class intervals and corresponding frequencies. In this example, the mean value is approximately 46.26 with a total frequency of 171 and Σ(F × X) = 7910.

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