Math Problem Statement

Find the mean of the distances of 25 brightest stars from Earth (in light-years). The distances given are 36.7, 11.4, 8.6, 16.8, 42.2, 33.7, 25.1, 4.4, 51.5, and 25.3.

Solution

The mean of the given distances is approximately 25.5725.57 light-years, rounded to two decimal places as required.

Would you like further details or have any questions?

Here are 5 related questions for further practice:

  1. How do you calculate the median for this dataset?
  2. What is the mode, and how is it determined for this set of distances?
  3. How would you compute the midrange of this dataset?
  4. Why is rounding important when reporting the mean in scientific contexts?
  5. What would happen to the mean if an outlier (such as a star 200 light-years away) were added to the dataset?

Tip: The mean is sensitive to extreme values (outliers), which can significantly impact the result.

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Math Problem Analysis

Mathematical Concepts

Statistics
Averages

Formulas

Mean = (Sum of all data points) / (Number of data points)

Theorems

Mean Theorem in Statistics

Suitable Grade Level

Grades 9-11