Question

income data
in which scenario would the median be a more appropriate measure of central tendency due to skewed data?
earnings from a summer job of five students: $200, $220, $230, $240, $1,300.
money earned from selling old textbooks: $5, $7, $8, $10, $18.
earnings from a weekend bake sale by five students: $30, $35, $37, $40, $42.
weekly allowances of five students: $10, $12, $13, $15, $20.

Explanation:

Step1: Recall property of median

The median is less affected by outliers in skewed - data.

Step2: Analyze each data - set

For the earnings from a summer job of five students: $200, $220, $230, $240, $1300. The value $1300 is an outlier. In a skewed - data set like this, the median will be a better measure of central tendency than the mean.
For the money earned from selling old textbooks: $5, $7, $8, $10, $18, the data is relatively evenly spread.
For the earnings from a weekend bake - sale by five students: $30, $35, $37, $40, $42, the data is relatively evenly spread.
For the weekly allowances of five students: $10, $12, $13, $15, $20, the data is relatively evenly spread.

Answer:

Earnings from a summer job of five students: $200, $220, $230, $240, $1300.