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There are ten players in the basketball team. If the average height of

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Bunuel
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There are ten players in the basketball team. If the average height of [#permalink] New post   12 Jul 2016, 04:24
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There are ten players in the basketball team. If the average height of the players is 170 cm, what will be the new average height if a 192 cm player will join the team?

A. 168.
B. 172.2.
C. 172.
D. 181.
E. 184.
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C
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msk0657
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Re: There are ten players in the basketball team. If the average height of [#permalink] New post   12 Jul 2016, 04:52
Bunuel wrote:
There are ten players in the basketball team. If the average height of the players is 170 cm, what will be the new average height if a 192 cm player will join the team?

A. 168.
B. 172.2.
C. 172.
D. 181.
E. 184.



Given ( X1 + X2 + .......... X10 ) / 10 =170

Now ( X1 + X2 + .......... X10 ) = 1700 ---> Eq 1.

Now one new person added and the person be A and height is 192 and the total no of players will be 11 and let's say the new average is B.

=> ( X1 + X2 + .......... X10 + 192 ) / 11 = B --Eq 2

Sub X1 + X2 + .......... X10 from Eq 1 in Eq 2.

=> 1700 + 192 = 11 B

B = 172.

IMO C is the correct option.

OA please...will correct if I missed anything.
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Re: There are ten players in the basketball team. If the average height of [#permalink] New post   14 Jul 2016, 19:16
sum of height of 10 players /10 = 1700
sum of height of 10 players = 1700

new sum = 1700+192 = 1892

New average = 1892/11 = 172

ans:C
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Re: There are ten players in the basketball team. If the average height of [#permalink] New post   14 Jul 2016, 22:08
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Bunuel wrote:
There are ten players in the basketball team. If the average height of the players is 170 cm, what will be the new average height if a 192 cm player will join the team?

A. 168.
B. 172.2.
C. 172.
D. 181.
E. 184.


Total height of 10 players = 170*10 = 1700 cm
New total height = 1700 + 192 = 1892
New total number of players = 11

New average = 1892/11 = 172

Correct Option: C
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Re: There are ten players in the basketball team. If the average height of [#permalink] New post   14 Jul 2016, 22:29
So first we need to find the total height of the ten players : 170*10 = 1700cm

Second step would be adding the 11th guy = 1700+192=1892cm

Now we will find the average = 1892/11=172cm Hence answer is C
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Re: There are ten players in the basketball team. If the average height of [#permalink] New post   15 Jul 2016, 00:16
one more simple method

avg is 170cm

192 cm person is added

suppose his height is also 170

so the new avg stays 170 cms , +22 cm more

+22 can be equally divided among 11 people by 2 cms each..
so new avg =170+2=172
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Divyadisha
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Re: There are ten players in the basketball team. If the average height of [#permalink] New post   15 Jul 2016, 06:21
Bunuel wrote:
There are ten players in the basketball team. If the average height of the players is 170 cm, what will be the new average height if a 192 cm player will join the team?

A. 168.
B. 172.2.
C. 172.
D. 181.
E. 184.


Had the height of new person be 170, we would be able to maintain the average of 170 cm.

But he is 22 cm more than the other team members. These 22 cos will be divided equally among 11 players,adding 2 cm to each player.

Hence the new average will be 170+2= 172 cos

C is the answer
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Re: There are ten players in the basketball team. If the average height of [#permalink] New post   05 Aug 2016, 13:39
Average height of 10 players = 170 cm
Total height of 10 players = 10 * 170 = 1700 cm
when a new player of height 192 cm joins them total number of player becomes 11
new total height = 1700 + 192 = 1892
Average = \(\frac{1892}{11}\)= 172 cm

Correct Answer - C
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Re: There are ten players in the basketball team. If the average height of [#permalink] New post   03 May 2019, 12:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: There are ten players in the basketball team. If the average height of [#permalink]
03 May 2019, 12:29
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