ets Unit Test
The consistency of a drink machine is being tested. The machine dispenses the following ounces of water in five different trials: 12, 11, 10, 11, 14. What is the IQR of the dispensing trials? (1 point)
The IQR is
2.5 ounces.
To calculate the IQR, we first need to find the median of the data set.
Arranging the data in order: 10, 11, 11, 12, 14
The median is the middle value, which is 11.
Next, we need to find the first quartile (Q1) and the third quartile (Q3).
Q1 is the median of the lower half of the data set: 10, 11, 11, which is 10.5.
Q3 is the median of the upper half of the data set: 11, 12, 14, which is 12.
Finally, the IQR is Q3 - Q1 = 12 - 10.5 = 2.5.
Therefore, the IQR of the dispensing trials is 2.5 ounces.
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)
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 Osalaries 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.
The companies have the same median salary because both datasets are skewed right