Use the images to answer the question.

Question

Bar graph 1
y axis: 0 1 2 3 4 5
x axis: 0 60,000 120,000 180,000 240,000 300,000
data: 3 5 2 1 1

bar graph 2
y axis: 2 4 6 8
x axis: 15,000 49,000 83,000 117,000 151,000 185,000
data: 7 3 2 0 1

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

Answer 1

To compare the median salaries between Speedy Shipping Co. and Northern Parcel Express based on the provided bar graphs (histograms), we need to analyze the data given.

1. Speedy Shipping Co. (Bar Graph 1):

   • The y-axis indicates the count of salaries, and the data shows values: 3, 5, 2, 1, 1 across the salary ranges.
   • The majority of the data is concentrated towards the lower end of the salary range, suggesting a skewed distribution to the right (more employees with lower salaries).

2. Northern Parcel Express (Bar Graph 2):

   • The y-axis indicates the count of salaries, with data values: 7, 3, 2, 0, and 1.
   • The distribution shows a higher concentration at lower salary ranges, but the fact that the highest count is at the lowest salary range suggests it may be skewed left (towards higher salaries).

Now, to interpret the median salaries:

• A distribution skewed to the right (like Speedy Shipping Co.) often means that the median salary may be lower because more data points are concentrated at the lower salary ranges.
• A distribution skewed left (like Northern Parcel Express) tends to suggest a higher median salary because the major data points are at higher salary ranges.

Based on the descriptions:

• The second response option, "Northern Parcel Express has the greater median salary because the data is skewed left, showing a higher median than Speedy Shipping Co." aligns with our analysis.

Thus, the best choice would be: Northern Parcel Express has the greater median salary because the data is skewed left, showing a higher median than Speedy Shipping Co.