Use the images to answer the question.

Question

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.

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

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.

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.

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.

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

Answer 1

To compare the median salaries at Speedy Shipping Co. and Northern Parcel Express based on the provided histogram descriptions, we can make the following observations:

1. Speedy Shipping Co. Histogram: The x-axis ranges from 0 to 300,000 in increments of 60,000. This indicates a wider range of salaries, with the potential for higher salaries impacting the median.

2. Northern Parcel Express Histogram: The x-axis is more compressed, with maximum salaries reaching only 185,000. This could suggest that salaries at this company are lower overall.

3. Skewness: The question mentions the data being skewed left for Northern Parcel Express, which would generally indicate that the lower salaries are affecting the median more than the higher salaries. Skewness influences the median, as medians can be higher in left-skewed distributions.

Based on this information, it's reasonable to conclude:

• Northern Parcel Express may have a skewed distribution that impacts its median differently from Speedy Shipping Co.'s more balanced distribution.
• Given that Speedy Shipping Co. has a wider range of salaries with potentially higher maximums, it is likely that their overall median salary would be higher as well.

Thus, the best statement is: "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."