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:

  1. How would the mean change if there were more students making 8 mistakes?
  2. Can the mode be different from the mean and median in a distribution? Why?
  3. What would happen to the median if the highest number of mistakes was 9 instead of 8?
  4. How can you determine if a distribution is skewed using mean, median, and mode?
  5. 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