A poll reveals that the average (arithmetic mean) income of 10 househo

Question

A poll reveals that the average (arithmetic mean) income of 10 households is $25,000. If 6 of the households have incomes of $30,000 each, what is the average income of the other 4 households?

A. $21,500
B. $20,500
C. $17,500
D. $7,500
E. $7,000

CounterSniper · Answer

total income of 10 households = 250,000
income of 6 households = 30,000 * 6 = 180,000
average income of other 4 houses = \frac{250,000 - 180,000}{4}  =  \frac{70,000}{4} =17,500

abhishekdadarwal2009 · Answer

A poll reveals that the average (arithmetic mean) income of 10 households is $25,000. If 6 of the households have incomes of $30,000 each, what is the average income of the other 4 households?

A. $21,500
B. $20,500
C. $17,500
D. $7,500
E. $7,000

step1. 25000*10=250000 (total income of 10 households)

step2. 30,000*6=180000 (total income of 6 households)

Step3. 250000-180000=70000

70000/4=17500 avg per household income. Option C.

EgmatQuantExpert · Answer

Solution 
  Given:  
 • The average income of 10 households = $25,000
• The income of 6 households = $30,000 each

To find:  
 • The average income of the other 4 households

Approach and Working:  
 • $25,000 = sum of the incomes of all households /10
 o Implies, sum of the 6 households + sum of the other 4 households =  $25,000 * 10 
o Thus, sum of the other 4 households =  $250,000 – 6 * $30,000 = $70,000 
 
• Therefore, the average income of the other 4 households =  \frac{$70,000}{4} = $17,500

Hence, the correct answer is option C.

Answer: C

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Free-Session-NP-e1533292073470.jpg

ScottTargetTestPrep · Answer

The overall sum is 10 x 25,000 = 250,000.

The sum of 6 of the households is 6 x 30,000 = 180,000. Thus, we know that the sum of the incomes of the remaining 4 households is 250,000- 180,000 = 70,000.

So the average of those other 4 households is 70,000/4 = 17,500.

Answer: C

HITMAN09 · Answer

Given 
Average (arithmetic mean) income of 10 households is $25,000. 
Incomes of 6 households is $30,000 each

With the help of provided information, we can calculate 
Total Incomes of 6 households = 6 x 30,000 = 180,000. 
Total Incomes of 10 households =10 x 25,000 = 250,000. 
Total Incomes of other 4 households = 250,000- 180,000 = 70,000
Average of those other 4 households = 70,000/4 = 17,500

Answer: C

ArnauG · Answer

To find the average income of the other 4 households, we need to subtract the total income of the 6 households with incomes of $30,000 each from the total income of all 10 households, and then divide by the remaining 4 households.

The total income of the 6 households with incomes of $30,000 each is 6 * $30,000 = $180,000.

The total income of all 10 households is given as $25,000 per household, so 10 * $25,000 = $250,000.

To find the total income of the other 4 households, we subtract the total income of the 6 households from the total income of all 10 households:

$250,000 - $180,000 = $70,000.

Finally, we divide the total income of the other 4 households by the number of households:

$70,000 / 4 = $17,500.

Therefore, the average income of the other 4 households is $17,500.

pulkitt · Answer

A quick solution using the deviations from the mean, Sum of $30,000 is $5,000 off from $25,000 6 times. That means the deviations from the mean is $5,000 * 6 = $30,000. This means that the rest of the numbers i.e 4 have to make the deviations equal, so we need to divide $30,000 / 4 = $7,500. This means that the other 4 numbers have to be reduced by $7,500 from the average $25,000

$25,000 - $7,500 = $17,500
((:

$25,000 - $7,500 = $17,500 
((:

A poll reveals that the average (arithmetic mean) income of 10 househo

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A poll reveals that the average (arithmetic mean) income of 10 househo

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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