Math Problem Statement
CI is class interval , F is frequency ,X is the value and FX is frequency *its corresponding value find mean
Solution
I have displayed the image. Let's analyze the data and find the mean.
Looking at the table:
- (Class Interval) represents the range of values.
- (Frequency) represents how many times values within that class interval appear.
- is the midpoint of each class interval.
- is the product of frequency and the midpoint.
The formula for the mean using frequency distribution is:
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 () = 171
- Sum of values () = 7910
Do you want further details or have any questions?
Here are 5 related questions for practice:
- How would the mean change if the largest frequency increased?
- Can you calculate the median of this distribution?
- What does the mean represent in the context of this frequency table?
- How can we find the mode of this distribution?
- 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.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Mean
Formulas
Mean = (Σ(F × X)) / ΣF
Theorems
Mean of grouped data using midpoints
Suitable Grade Level
Grades 9-12