Events & Promotions
| Last visit was: 06 Sep 2026, 15:50 |
It is currently 06 Sep 2026, 15:50 |
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 0712:01 AM PDT
-11:59 PM PDT
On the 7th, GMAT Club Tests will be Free! Including all the Quizzes, Questions, and Tests. 12 AM - 11:59 PM PDT- Sep 07
10:00 AM PDT
-11:00 AM PDT
A complete walkthrough of GMAT Club’s free 12-week GMAT study plan: what you study each week, how progress and goals are tracked, how the error log works, and how your practice unlocks paid tools at no cost. 
Sep 0201:00 PM EDT
-11:59 PM EDT
Take 30% off all study plans with code COURSEWORK - Expires on Monday 9/7
Sep 0410:00 AM EDT
-11:59 PM EDT
We’ve worked incredibly hard to build TTP into the best test prep experience possible, and it would mean a lot to us to win Newsweek’s 2026 Readers’ Choice Award for Best Test Prep. If TTP has helped you, we’d be incredibly grateful for your vote.
Sep 0609:30 AM EDT
-12:30 PM EST
Top scores are possible when you enroll in a powerful EA course, taught live online + 6 months access to TTP OnDemand video courses included! Perfect class schedule and easy course access for working professionals. Class starts Sundays Sept. 6, 2026.- Sep 09
07:00 AM PDT
-10:00 AM PDT
Meet AdComs and explore top Master’s programs - MiM, MiF, MSc, MSBA and more. - Application Fee Waivers - Free 1-Week of GMAT Club Tests: - Master's Application Toolkit - Grand Prize Giveaway - Sep 09
10:00 AM PDT
-11:00 AM PDT
Three MBA applications. Three rejections. No interview invites. A year later, Aman was admitted to Cambridge Judge, SMU, and IMD. In this episode of MBA Admit Stories, Aman shares how he rebuilt his MBA application... 
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2108:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
24 Aug 2026, 09:42
Kudos
Bookmarks
Which store had the least range in the number of items purchased?: Can be determined
Was the mean number of items purchased at Store E greater than 16?: Cannot be determined
Was the median number of items purchased at most 16 at every store?: Cannot be determined
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
17% (03:33) correct
83%
(03:57)
wrong
based on 76
sessions
History
Date
Time
Result
Not Attempted Yet
A supermarket chain randomly selected 40 customer purchases from each of 10 stores. For each purchase, the number of items bought was recorded. The table shows, for each store, how many of the 40 purchases contained a number of items within each indicated range.
For each of the following questions, select Can be determined if the answer can be determined from the information provided. Otherwise, select Cannot be determined.
| Number of items purchased | ||||||
| Store | 1 to 4 | 5 to 8 | 9 to 12 | 13 to 16 | 17 to 20 | 21 to 24 |
|---|---|---|---|---|---|---|
| A | 12 | 10 | 8 | 5 | 3 | 2 |
| B | 15 | 8 | 7 | 5 | 4 | 1 |
| C | 9 | 12 | 10 | 5 | 3 | 1 |
| D | 18 | 7 | 5 | 4 | 4 | 2 |
| E | 3 | 4 | 5 | 8 | 9 | 11 |
| F | 11 | 11 | 9 | 5 | 3 | 1 |
| G | 14 | 9 | 8 | 4 | 3 | 2 |
| H | 0 | 0 | 12 | 12 | 10 | 6 |
| I | 6 | 9 | 11 | 7 | 5 | 2 |
| J | 8 | 8 | 9 | 7 | 5 | 3 |
For each of the following questions, select Can be determined if the answer can be determined from the information provided. Otherwise, select Cannot be determined.
| Can be determined | Cannot be determined | |
| Which store had the least range in the number of items purchased? | ||
| Was the mean number of items purchased at Store E greater than 16? | ||
| Was the median number of items purchased at most 16 at every store? |
ShowHide Answer
Official Answer
Which store had the least range in the number of items purchased?: Can be determined
Was the mean number of items purchased at Store E greater than 16?: Cannot be determined
Was the median number of items purchased at most 16 at every store?: Cannot be determined
01 Sep 2026, 03:45
Kudos
Bookmarks
Bunuel
Official Solution:
The table summarizes 40 purchases at each store. Each entry tells us how many purchases contained a number of items within the corresponding range. For example, at Store D, 18 purchases contained 1 to 4 items, 7 purchases contained 5 to 8 items, and 5 purchases contained 9 to 12 items. The exact number of items in each individual purchase is not given.
• Which store had the least range in the number of items purchased?
At Store H, there were no purchases in either the 1-to-4 or the 5-to-8 range. Thus, every purchase at Store H contained at least 9 items and at most 24 items.
Therefore, the range at Store H can be no greater than:
24 - 9 = 15
At every other store, there is at least one purchase in the 1-to-4 range and at least one purchase in the 21-to-24 range. Thus, at each of those stores, the range must be at least:
21 - 4 = 17
Since Store H's range is at most 15, while every other store's range is at least 17, Store H must have had the least range.
Answer: Can be determined.
• Was the mean number of items purchased at Store E greater than 16?
Because the table gives ranges rather than exact numbers, consider the smallest and largest possible totals for Store E.
Using the smallest possible number of items in each range:
3 * 1 + 4 * 5 + 5 * 9 + 8 * 13 + 9 * 17 + 11 * 21 = 556
The corresponding mean is:
556/40 = 13.9
Using the largest possible number of items in each range:
3 * 4 + 4 * 8 + 5 * 12 + 8 * 16 + 9 * 20 + 11 * 24 = 676
The corresponding mean is:
676/40 = 16.9
Thus, depending on the exact numbers of items within the ranges, the mean could be less than 16 or greater than 16.
Answer: Cannot be determined.
• Was the median number of items purchased at most 16 at every store?
Each store has 40 purchases, so the median is the average of the 20th and 21st values when the purchases are arranged from smallest to largest.
For every store except Store E, at least 21 purchases contained 16 items or fewer. Therefore, at each of those stores, both the 20th and 21st values are at most 16, so the median must be at most 16.
At Store E:
3 + 4 + 5 + 8 = 20
Exactly 20 purchases contained 16 items or fewer. Thus, the 20th value is between 13 and 16, while the 21st value is between 17 and 20.
For example, if all 8 values in the 13-to-16 range were 13, making the 20th value 13, and the 21st value were 17, the median would be:
(13 + 17)/2 = 15
which is less than 16 and therefore falls within the “at most 16” range.
However, if all 8 values in the 13-to-16 range were 16, making the 20th value 16, and the 21st value were 20, the median would be:
(16 + 20)/2 = 18
which is greater than 16.
Therefore, because the median at Store E could be at most 16 or greater than 16, we cannot determine whether the median was at most 16 at every store.
Answer: Cannot be determined.
Moderators:
