Events & Promotions
| Last visit was: 26 Sep 2026, 21:47 |
It is currently 26 Sep 2026, 21:47 |
|
|
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 2807:00 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. 28, 2026 - Oct. 16, 2027, 7:00pm-10:00pm EST
Sep 2911:00 AM EDT
-01:00 PM EDT
" Description: Top 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/Thur Sept. 29, 2026 - Dec. 3, 2026, 11:00am-1:00pm EST
Oct 0107:00 AM BST
-08:00 AM GMT
Welcome to the GMAT Club's Free Interview Prep Event for Top MBA Programs! Buy tickets - Virtual series that’s all set to equip you to -excel in your MBA interviews.
Oct 0301:00 PM EDT
-04:00 PM EDT
Top 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 Saturdays Oct. 3, 2026 - Dec. 26, 2026, 1:00pm-4:00pm EST
Updated on: 02 Feb 2024, 00:29
Originally posted by Sajjad1994 on 09 May 2021, 21:00.
Last edited by BottomJee on 02 Feb 2024, 00:29, edited 4 times in total.
Last edited by BottomJee on 02 Feb 2024, 00:29, edited 4 times in total.
Moved to new forum
Kudos
Bookmarks
The median household size of all households in the five states combined is two people.: True
Of the seven categories of household size, Maine has the median number of households in exactly three.: False
In each of the seven categories of household size, Massachusetts has more households than the next highest two states combined.: True
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:
42% (03:33) correct
58%
(03:17)
wrong
based on 273
sessions
History
Date
Time
Result
Not Attempted Yet
Household Size: Occupied Housing Units by State, 2010 Census
The above data are drawn from 2010 census data for New England (excluding Rhode Island, whose data is not available). The table provides the total number of households in each state and the distribution of households of various sizes within each state.
Consider the following statements about these states. For each statement, evaluate whether that statement is True or False, according to the information in the table.
(Sort ↕ the table by clicking on the headers)
| -------------- | 1-person households | 2-person households | 3-person households | 4-person households | 5-person households | 6-person households | 7 or more person households | Total households |
|---|---|---|---|---|---|---|---|---|
| Connecticut | 373648 | 443095 | 226658 | 197116 | 84916 | 29348 | 16306 | 1371087 |
| Maine | 159533 | 213695 | 84340 | 64010 | 23840 | 7854 | 3947 | 557219 |
| Massachusetts | 732263 | 813166 | 417216 | 353676 | 150842 | 51409 | 28503 | 2547075 |
| New Hampshire | 133057 | 188923 | 85046 | 70835 | 27365 | 9286 | 4461 | 518973 |
| Vermont | 72233 | 96889 | 39695 | 31210 | 11107 | 3480 | 1828 | 256442 |
The above data are drawn from 2010 census data for New England (excluding Rhode Island, whose data is not available). The table provides the total number of households in each state and the distribution of households of various sizes within each state.
Consider the following statements about these states. For each statement, evaluate whether that statement is True or False, according to the information in the table.
| True | False | |
| The median household size of all households in the five states combined is two people. | ||
| Of the seven categories of household size, Maine has the median number of households in exactly three. | ||
| In each of the seven categories of household size, Massachusetts has more households than the next highest two states combined. |
ShowHide Answer
Official Answer
The median household size of all households in the five states combined is two people.: True
Of the seven categories of household size, Maine has the median number of households in exactly three.: False
In each of the seven categories of household size, Massachusetts has more households than the next highest two states combined.: True
18 May 2021, 00:59
Kudos
Bookmarks
Official Explanation
The median household size of all households in the five states combined is two people.
Now you’re being asked to determine the median household size for all states combined. To do this, first sum up the total number of households for all five states (the far right column). Rounding to the nearest thousand, you get 1,000 × (1,371 + 557 + 2,547 + 519 + 256) = 5,250,000. That means that if you were to place all these households in order according to their size, the median household would be roughly the \(\frac{5,250,000}{2} =\) 2,625,000th household. The household size of the 2,625,000th household is therefore the median household size.
To determine the size of that particular household, you need to total the number of households of each size until you hit the 2.6-million mark. Starting at either end of the table will eventually get you to the middle, but because there are bigger numbers of smaller households, you’ll reach the threshold faster if you start on the left with the one-person households. Rounding to the thousands place gets you 1,000 × (374 + 160 + 732 + 133 + 72) = 1,471,000, so you’re a little over halfway to the 2,625,000th house.
Careful observation saves even more work on the next step of finding this solution. Every state has more two-person households than one-person households. If you actually tallied up the exact number of one- and two-person households, you’d end up with a number well above 2,900,000 (twice the previous total). Therefore, the 2,625,000th household must be a two-person household, so this statement can be marked “True.”
Of the seven categories of household size, Maine has the median number of households in exactly three.
This is another question about medians. You need to find the median number for each of the seven categories and determine whether Maine has the median for exactly three of them. It’s time to use the Sort function again.
One-person households:
Maine is the median for one-person households. That’s one instance so far.
Two-person households:
Maine is again the median; that makes two instances.
Three-person households:
New Hampshire is the median; keep going.
Four-person households:
New Hampshire again; not what you’re looking for.
Five-person households:
Still New Hampshire.
Six-person households:
New Hampshire is the median frequently in this table. There’s only one more chance to find a third instance of Maine being the median.
Seven-or-more-person households:
No luck. The median is once again New Hampshire.
Maine is the median in exactly two of the seven categories, making the answer to this statement “False.” Note that Maine is the median of the “Total” column, so there are actually three instances in the table in which Maine is the median. However, this question asks only for the seven categories, not all columns. Pay close attention to each column heading as you work through Table Analysis questions.
In each of the seven categories of household size, Massachusetts has more households than the next highest two states combined.
From your first glance at the table, you noticed that Massachusetts has by far the largest total number of households. So you can guess that Massachusetts might be the greatest in every subcategory. You can sort the tables as before to determine the rankings of the states in each column. For each one, you need to determine whether the number of households in Massachusetts is greater than the second-highest state plus the third-highest state. Perform the calculation for each household-size category and, where possible, use approximation instead of calculation:
Since Massachusetts is higher than the next highest two states combined in each category, the answer here is “True.” Note that you did not need to perform the exact calculations for any of those comparisons; once you identified the correct values to compare, you could estimate the sum of the second-highest state plus the third-highest state and see that in each case, it is less than the number of households in Massachusetts.
The median household size of all households in the five states combined is two people.
Now you’re being asked to determine the median household size for all states combined. To do this, first sum up the total number of households for all five states (the far right column). Rounding to the nearest thousand, you get 1,000 × (1,371 + 557 + 2,547 + 519 + 256) = 5,250,000. That means that if you were to place all these households in order according to their size, the median household would be roughly the \(\frac{5,250,000}{2} =\) 2,625,000th household. The household size of the 2,625,000th household is therefore the median household size.
To determine the size of that particular household, you need to total the number of households of each size until you hit the 2.6-million mark. Starting at either end of the table will eventually get you to the middle, but because there are bigger numbers of smaller households, you’ll reach the threshold faster if you start on the left with the one-person households. Rounding to the thousands place gets you 1,000 × (374 + 160 + 732 + 133 + 72) = 1,471,000, so you’re a little over halfway to the 2,625,000th house.
Careful observation saves even more work on the next step of finding this solution. Every state has more two-person households than one-person households. If you actually tallied up the exact number of one- and two-person households, you’d end up with a number well above 2,900,000 (twice the previous total). Therefore, the 2,625,000th household must be a two-person household, so this statement can be marked “True.”
Of the seven categories of household size, Maine has the median number of households in exactly three.
This is another question about medians. You need to find the median number for each of the seven categories and determine whether Maine has the median for exactly three of them. It’s time to use the Sort function again.
One-person households:
Maine is the median for one-person households. That’s one instance so far.
Two-person households:
Maine is again the median; that makes two instances.
Three-person households:
New Hampshire is the median; keep going.
Four-person households:
New Hampshire again; not what you’re looking for.
Five-person households:
Still New Hampshire.
Six-person households:
New Hampshire is the median frequently in this table. There’s only one more chance to find a third instance of Maine being the median.
Seven-or-more-person households:
No luck. The median is once again New Hampshire.
Maine is the median in exactly two of the seven categories, making the answer to this statement “False.” Note that Maine is the median of the “Total” column, so there are actually three instances in the table in which Maine is the median. However, this question asks only for the seven categories, not all columns. Pay close attention to each column heading as you work through Table Analysis questions.
In each of the seven categories of household size, Massachusetts has more households than the next highest two states combined.
From your first glance at the table, you noticed that Massachusetts has by far the largest total number of households. So you can guess that Massachusetts might be the greatest in every subcategory. You can sort the tables as before to determine the rankings of the states in each column. For each one, you need to determine whether the number of households in Massachusetts is greater than the second-highest state plus the third-highest state. Perform the calculation for each household-size category and, where possible, use approximation instead of calculation:
- One-person households: Is 732,263 > 373,648 + 159,533? Yes.
- Two-person households: Is 813,166 > 443,095 + 213,695? Yes.
- Three-person households: Is 417,216 > 226,658 + 85,046? Yes.
- Four-person households: Is 353,676 > 197,116 + 70,835? Yes.
- Five-person households: Is 150,842 > 84,916 + 27,365? Yes.
- Six-person households: Is 51,409 > 29,348 + 9,286? Yes.
- Seven-or-more-person households: Is 28,503 > 16,306 + 4,461? Yes.
Since Massachusetts is higher than the next highest two states combined in each category, the answer here is “True.” Note that you did not need to perform the exact calculations for any of those comparisons; once you identified the correct values to compare, you could estimate the sum of the second-highest state plus the third-highest state and see that in each case, it is less than the number of households in Massachusetts.
02 Aug 2024, 07:40
Kudos
Bookmarks
Please clarify
Part 1.
Median of Total is 2625398...
However, Median of 2 Household is 877884(Total is 1755768)...
Please clarify if I have missed the question ❓
Posted from my mobile device
Part 1.
Median of Total is 2625398...
However, Median of 2 Household is 877884(Total is 1755768)...
Please clarify if I have missed the question ❓
Posted from my mobile device
