Last Updated on May 4, 2023
GMAT OFFICIAL GUIDE PS
Solution:
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.
Answer: B
