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

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.

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.

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.

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.
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Answer 1

To determine which company has the greater median salary based on the descriptions of the histograms, we need to consider the characteristics of each dataset.

1. Speedy Shipping Co. has a broader salary range from 0 to 300,000, but because the increments on the y-axis only go up to 5, it suggests that the distribution of salaries may be concentrated at certain levels, possibly indicating a right skew (more high salaries than low).

2. Northern Parcel Express has a much narrower salary range with increments in smaller units (15,000 up to 185,000) and a larger maximum frequency reaching up to 8. The mention of a left skew indicates that there are relatively more lower salaries compared to higher ones.

Given that left-skewed distributions typically have a higher median than mean (due to the influence of lower values), the statement that Northern Parcel Express has a greater median salary is reasonable.

The comparative analysis based on the provided descriptions leads us to choose: Northern Parcel Express has the greater median salary because the data is skewed left, showing a higher median than Speedy Shipping Co.