Question

question 34 points 3

in a report on annual incomes of residents in a city, it was found that the mean income was \\$120,000, while the median income was \\$45,000.

what is the most likely shape of the distribution of income?

skewed right

skewed left

Explanation:

Identify the given measures of center

Using the Income Distribution Skewness knowledge point

• Mean income: \(\$120,000\)
• Median income: \(\$45,000\)

Compare the mean and median

Using the Skewness Direction knowledge point

$$ \text{Mean } (\$120,000) > \text{Median } (\$45,000) $$

Determine the shape of the distribution

Using the Skewness Direction knowledge point

• When the mean is significantly greater than the median, the distribution has a long tail on the right side.
• This indicates a right-skewed (or positively skewed) distribution, which is typical for real-world income distributions where a small number of high earners pull the mean upward.

Answer:

• Skewed right (Correct answer)
• Skewed left