Math Problem Statement
Solve this sum
Find the mean, median and mode from the following distribution: No. of mistakes: 2, 3, 4, 5, 6, 7, 8. No. of students: 11, 28, 50, 12, 8, 5, 5.
Solution
The mean, median, and mode of the given distribution are as follows:
- Mean: 4.11 (approx)
- Median: 4
- Mode: 4
Would you like further details or have any questions?
Here are 5 related questions for practice:
- How would the mean change if there were more students making 8 mistakes?
- Can the mode be different from the mean and median in a distribution? Why?
- What would happen to the median if the highest number of mistakes was 9 instead of 8?
- How can you determine if a distribution is skewed using mean, median, and mode?
- What other methods can be used to measure the central tendency besides mean, median, and mode?
Tip: The mean is sensitive to extreme values (outliers), whereas the median is more robust in the presence of outliers.
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Frequency Distribution
Formulas
Mean = (Σf * x) / Σf
Median: Middle value after arranging the data in ascending order
Mode: Value with the highest frequency
Theorems
None
Suitable Grade Level
Grades 9-11