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# The median age of 15 children in group A was 12. The median age of 19

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Senior PS Moderator
Joined: 26 Feb 2016
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The median age of 15 children in group A was 12. The median age of 19  [#permalink]

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11 Sep 2018, 00:58
00:00

Difficulty:

55% (hard)

Question Stats:

57% (01:49) correct 43% (01:55) wrong based on 24 sessions

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The median age of 15 children in group A was 12. The median age of 19 children in group B was 9. Two children - the youngest and the oldest - in group B were to group A. What was the new median age of the children in group A?

(1) The youngest children in group B was 7 years old.
(2) The oldest child in group B was 12 years old.

Source: Experts Global

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Re: The median age of 15 children in group A was 12. The median age of 19  [#permalink]

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11 Sep 2018, 01:04
Total age in Group A is 180.
Total age in Group B is 171.

From statement 1:

Youngest child age is 7. No info about oldest. Hence insufficient.

From statement 2:

Oldest age is 12. No info about youngest. Hence insufficient.

Combining both gives 19+180 = 199/14 = 14.21 age.

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Re: The median age of 15 children in group A was 12. The median age of 19  [#permalink]

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11 Sep 2018, 02:14
Youngest of Group B must be less than 9 or equal to 9 who is less than 12. This kid must fit to the left hand side of the median (8th kid whose age is 12).

Eldest of the Group B may be less than 12 or equal to 12 or more than 12. If eldest is less than 12 then median will be 9th Kid (revised group size is 17 children).

If eldest is equal to 12 or more than 12, then median value remains unchanged. With this understanding, lets look at options.

1.. Not sufficient
2.. Sufficient.

Re: The median age of 15 children in group A was 12. The median age of 19   [#permalink] 11 Sep 2018, 02:14
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