Bunuel wrote:
The numbers of cars sold at a certain dealership on six of the last seven business days were 4, 7, 2, 8, 3, and 6, respectively. If the number of cars sold on the seventh business day was either 2, 4, or 5, for which of the three values does the average (arithmetic mean) number of cars sold per business day for the seven business days equal the median number of cars sold per day for the seven days?
I. 2
II. 4
III. 5
(A) II only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III
Practice Questions
Question: 12
Page: 153
Difficulty: 600
To solve, we will use the number given in each Roman numeral to determine the average and median and determine whether they are equal.
I. 2
In order, from least to greatest, our values for the number of cars sold for the 7 days are:
2, 2, 3, 4, 6, 7, 8
We know that the median is the middle number of our list, so our median is 4. Next we calculate the average.
Average = sum/quantity
Average = (2 + 2 + 3 + 4 + 6 + 7 + 8)/7
Average = 32/7
We see that the average does not equal the median.
Answer choice I is not correct. We can eliminate answer choices C and E.
II. 4
In order, from least to greatest, our values for the number of cars sold for the 7 days are:
2, 3, 4, 4, 6, 7, 8
We know that the median is the middle number of our list, so our median is 4. Next we calculate the average.
Average = sum/quantity
Average = (2 + 3 + 4 + 4 + 6 + 7 + 8)/7
Average = 34/7
We see that the average does not equal the median.
Answer choice II is not correct. We can eliminate answer choices A and D. We know now that the correct answer choice is B, but we should still check.
III. 5
In order, from least to greatest, our values for the number of cars sold for the 7 days are:
2, 3, 4, 5, 6, 7, 8
We know that the median is the middle number of our list, so our median is 5. Next we calculate the average.
Average = sum/quantity
Average = (2 + 3 + 4 + 5 + 6 + 7 + 8)/7
Average = 35/7 = 5
We can see that the average does equal the median.
Answer choice III is correct.
The answer is B.
_________________
See why Target Test Prep is the top rated GMAT course on GMAT Club.
Read Our Reviews