Let's analyze how changing the value from 60 to 50 affects both the mean and median.

Original dataset: 45, 47, 50, 52, 60
Corrected dataset (with 60 replaced by 50): 45, 47, 50, 50, 52

Step 1: Calculating the mean

The mean is the sum of the values divided by the number of values.

• Original dataset: $\text{Mean} = \frac{45 + 47 + 50 + 52 + 60}{5} = \frac{254}{5} = 50.8$

• Corrected dataset: $\text{Mean} = \frac{45 + 47 + 50 + 50 + 52}{5} = \frac{244}{5} = 48.8$

The mean decreases from 50.8 to 48.8.

Step 2: Calculating the median

The median is the middle value when the data is arranged in order.

• Original dataset: 45, 47, 50, 52, 60 → Median = 50 (middle value)
• Corrected dataset: 45, 47, 50, 50, 52 → Median = 50 (middle value)

The median stays the same at 50.

Conclusion:

The mean decreases, and the median stays the same. Therefore, the correct answer is:

c. Mean decreases, median stays the same.

Would you like further details on any of the steps?

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Here are 5 related questions you might find helpful:

1. What is the impact of an outlier on the mean and median?
2. How do you calculate the median for an even set of numbers?
3. How does replacing a value in a dataset typically affect the mode?
4. What happens to the mean and median when all values in a dataset are increased by a constant?
5. Can the mean and median be equal in any dataset?

Tip: The median is more resistant to outliers than the mean, which is why small data modifications often don't change the median as much.