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Engineer1
Joined: 01 Jan 2014
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Schools: Booth (Chicago) (M$)
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
70% (01:47) correct
30%
(02:30)
wrong
based on 3405
sessions
History
Date
Time
Result
Not Attempted Yet
The graph shows the distributions of scores on official driving tests administered within a certain municipality for eight consecutive business days.
Select from each drop-down menu the option that creates the most accurate statement, given the information provided.
The graph provides enough information to determine that the over all of the days indicated in the graph is the same as that for combined.
ID: 100459
(IR01188)
GMAT-Club-Forum-b7x5x85a.png [ 100.88 KiB | Viewed 14518 times ]
(IR01188)
Attachment:
GMAT-Club-Forum-b7x5x85a.png [ 100.88 KiB | Viewed 14518 times ]
Engineer1
Solution:
Median: It is the middle value of all the scores placed in an order. But here we are dealing with only % of scores in a given range, so we cannot find Median.
Mean: The above is true for mean too.
Range: The highest score vs the lowest score. Here, we do get know the higest and lowest for each day. So, Range is the only measure of tendency that can be found.
From the above , we can say that we will have Range for blank 1.
Range for all days will be the highest - lowest values for all 10 days = Highest of Day 2 - lowest of day 5 = 90 - 20 = 70.
The above gives us the answer for blank 2. when we combine day 2 and day 5, the range here too will become 70 as shown above.
Attachment:
GMAT-Club-Forum-okzt1zq9.png [ 100.88 KiB | Viewed 14359 times ]
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Engineer1
Joined: 01 Jan 2014
Last visit: 29 Jun 2026
Posts: 193
Location: United States
Concentration: Strategy, Finance
Schools: Booth (Chicago) (M$)
Schools: Booth (Chicago) (M$)
Posts: 193
Official Explanation:
A. Infer
For each of eight business days, the graph shows the distribution of scores on driving tests administered on that day. Because neither the graph nor the text indicates how many scores there were for each day, neither the mean nor the median for the eight days can be determined. However, since the top of each stacked bar indicates the highest score for tests administered on that day and the bottom of each stacked bar indicates the lowest score for tests administered on that day, the range for the eight days would be equal to the highest score shown on the graph (90 on Day 2) minus the lowest score shown on the graph (20 on Day 5). Therefore, the range of the scores for all eight days is equal to the range of the scores for Days 2 and 5 combined.
The correct answer is range of scores.
B. Infer
Based on the explanation for A, the correct answer is Day 2 and Day 5.
The correct answer is Day 2 and Day 5.
A. Infer
For each of eight business days, the graph shows the distribution of scores on driving tests administered on that day. Because neither the graph nor the text indicates how many scores there were for each day, neither the mean nor the median for the eight days can be determined. However, since the top of each stacked bar indicates the highest score for tests administered on that day and the bottom of each stacked bar indicates the lowest score for tests administered on that day, the range for the eight days would be equal to the highest score shown on the graph (90 on Day 2) minus the lowest score shown on the graph (20 on Day 5). Therefore, the range of the scores for all eight days is equal to the range of the scores for Days 2 and 5 combined.
The correct answer is range of scores.
B. Infer
Based on the explanation for A, the correct answer is Day 2 and Day 5.
The correct answer is Day 2 and Day 5.
General Discussion
GMAT695
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chetan2u Isn't the range of scores for Day 4 and Day 5 same ?
SATYAM7777
Yes, the range is the same for 4 and 5, But when you add one of these days to day 2, then the highest point between the two and the lowest point between the two will give you the range.
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Oppenheimer1945
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Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
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Posts: 787
as per bar distribution, you can avoid mean, median stats.
Range for all is Range for the day which gives MAX + Range for day which gives MIN
Range, Day 2&5
Range for all is Range for the day which gives MAX + Range for day which gives MIN
Range, Day 2&5
chetan2u
I am not able to understand that, I found here score value is given in absolute value and %age is given for %age of test taker. So I tried for mean median etc. for eg. Day1 0-25% test taker obtained 40-55 marks and 25-50% test taker got 62-70 marks, 50-75% test taker got 55-62 marks and 75-100% test taker got 70-80 marks. I followed this and calculate median. lastly I couldn't understand the given data. kindly elaborate, however lastly after a no. of attempt and I got solution, but in exam time how it would possible to solve in 2 minutes. if once clear median and mean can't be calculated then it is possible otherwise how to deal with such type of question????
Attachment:
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Posts: 7
Su_bha
But here in the Question, we are only given % of score. But we need to keep in mind that the total number of scores (participant with different or same scores) can be different on different days and that will affect the Mean and the median.
Let's assume on Day 1, 10000 people participated. So the 25% of 100 is 2500 = People who got score 70-80
Now, if on Day 2, the total no. of people were 100, then only 25 people scored 80-90. So in that case mean will be closer to Day 1.
Also, we do not know exactly how many of them scored 80 or 90.
Since we don't have data regarding the number of total participant scores in each day, it will be hard for us to calculate either mean or median.
Hope, this helps.
Attachment:
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It looks like all the OG or Official questions are more about the language than the knowledge.
It's more of a trickery than anything else.
It's more of a trickery than anything else.
The graph provides enough information to determine that the (blank) over all of the days indicated in the graph is the same as that for (blank) combined.
The answer seems illogical since we are thinking along the terms that the ranges of day 2 and day 5 are not matching. But that is not what has been asked.
If we carefully look at the question wording, it is asking us to figure out for the entire set- day1 through 8, the mean, median or range. And then determine which two days combined together have a similar mean, median or range.
Since percentages are given we cannot find out the mean or median of the entire set, which leaves us with the range.
The range of the entire set is the highest score - the least score from the entire set which is seen on day 2 for the highest and day 5 for the lowest. Which would be the same for both these days combined.
Hope this helps.
The answer seems illogical since we are thinking along the terms that the ranges of day 2 and day 5 are not matching. But that is not what has been asked.
If we carefully look at the question wording, it is asking us to figure out for the entire set- day1 through 8, the mean, median or range. And then determine which two days combined together have a similar mean, median or range.
Since percentages are given we cannot find out the mean or median of the entire set, which leaves us with the range.
The range of the entire set is the highest score - the least score from the entire set which is seen on day 2 for the highest and day 5 for the lowest. Which would be the same for both these days combined.
Hope this helps.
Posts: 7
I think the entire GMAT exam is like that, just one word here and there and voila ! the answer changes drastically. It's just about manipulating the words rather than actual fundamental concept.
D3N0
Can we tell the Median if we know how many driving tests were taken per day? Thanks Bunuel
eps018us
The median is the middle value, the point where 50% of the data fall below and 50% above. From the graph, we can identify the median for each individual day as the boundary line between the 25%–50% quartile (white) and the 50%–75% quartile (light blue), since that marks the 50th percentile. However, we cannot determine the overall median across all eight days because we do not know how many tests were taken on each day, and that information is needed to locate the two middle values among all scores combined.
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Why is the second blank Days 2 and 5 and not 4 and 5 when we are selecting the range.
So Range = Max - Min
And Day 4 Max is 70 and Min is 30 so range is 40, similarly day 5 max is 60 and min is 20 and again the range is 20.
So shouldnt the answer be Day 4 & 5 and not 2 & 5.
So Range = Max - Min
And Day 4 Max is 70 and Min is 30 so range is 40, similarly day 5 max is 60 and min is 20 and again the range is 20.
So shouldnt the answer be Day 4 & 5 and not 2 & 5.
Karanzzz11
The range over all of the days is 70. Because 70 is the difference between the largest value, which is 90 from Day 2, and the smallest value, which is 20 from Day 5. So the difference is 70.
When you say Day 4 and 5, the smallest between them is from Day 5 (20), and the largest is from Day 4 (70). The difference is 50. But 50 doesn’t equal the overall range of 70.
However, if we check the correct answer, Day 2 and 5, the smallest is from Day 5 (20) and the largest is from Day 2 (90). That gives 70, which matches the overall biggest and smallest.
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