A histogram is titled 'Employee Salaries at Speedy Shipping Co.' The x-axis ranges from 0 to 300,000 in increments of 60,000 and is labeled 'Salaries in Dollars.' The y-axis ranges from 0 to 5 in increments of 1 and is unlabeled.

Question

A histogram is titled 'Employee Salaries at Northern Parcel Express.' The x-axis contains the following unit increments: 15,000, 49,000, 83,000, 117,000, 151,000, and 185,000. The y-axis ranges from 0 to 8 by 2-unit increments and is unlabeled.
An auditor published the salaries of each employee from the CEO to the interns at Speedy Shipping Co. and at Northern Parcel Express. The salaries are summarized in histograms. Which statement best compares the median salaries at the two companies?

(1 point)
Responses

The companies have same median salary because both datasets are symmetric and have the same mean and median.
The companies have same median salary because both datasets are symmetric and have the same mean and median.

The companies have the same median salary because both datasets are skewed right.
The companies have the same median salary because both datasets are skewed right.

Speedy Shipping Co. has the greater median salary because the overall salaries are higher, and the data is not as far skewed to the right as Northern Parcel Express.
Speedy Shipping Co. has the greater median salary because the overall salaries are higher, and the data is not as far skewed to the right as Northern Parcel Express.

Northern Parcel Express has the greater median salary because the data is skewed left, showing a higher median than Speedy Shipping Co.
Northern Parcel Express has the greater median salary because the data is skewed left, showing a higher median than Speedy Shipping Co.

Answer 1

To compare the median salaries at Speedy Shipping Co. and Northern Parcel Express based on the descriptions provided:

1. Speedy Shipping Co. has a salary range from 0 to 300,000 in increments of 60,000, indicating that salaries may be distributed over higher values.
2. Northern Parcel Express has a narrower range with salaries going only up to 185,000, with increments of 15,000, suggesting more employees earn salaries closer to the lower limit of the range.

Based on this information, we can infer a few points:

• The median salary is impacted by how the salaries are distributed. If both datasets are skewed and not symmetric, the median will be less influenced by extreme values than the mean.
• The statement mentions that Northern Parcel Express’s data is skewed left, which means that there are lower salaries that may be dragging the mean (and possibly median) down, while the median of Speedy Shipping Co. might be higher if the bulk of salaries are concentrated in the higher range.

Thus, the best response would likely be:

Speedy Shipping Co. has the greater median salary because the overall salaries are higher, and the data is not as far skewed to the right as Northern Parcel Express.

This indicates that despite Northern Parcel Express having a potentially significant number of lower salaries, Speedy Shipping Co.'s higher overall salary range leads to a higher median.