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CBSE Class 9 Answered

the mean of 25 observations is 36.Out of these observations, the mean of first 13  observations is 32 and that of last 13 observations is 40, find the 13th observation ?
Asked by nisha_vini29 | 25 Jan, 2016, 11:22: AM
answered-by-expert Expert Answer

begin mathsize 14px style M e a n space o f space 25 space o b s e r v a t i o n s equals 36 rightwards double arrow S u m space o f space 25 space o b s e r v a t i o n s equals 25 cross times 36 equals 900  M e a n space o f space f i r s t space 13 space o b s e r v a t i o n s equals 32 rightwards double arrow S u m space o f space f i r s t space 13 space o b s e r v a t i o n s equals 13 cross times 32 equals 416  M e a n space o f space l a s t space 13 space o b s e r v a t i o n s equals 40 rightwards double arrow S u m space o f space l a s t space 13 space o b s e r v a t i o n s equals 13 cross times 40 equals 520  N o w comma space 13 t h space o b s e r v a t i o n equals s u m space o f space f i r s t space 13 space o b s e r v a t i o n s plus S u m space o f space l a s t space 13 space o b s e r v a t i o n s space minus S u m space o f space 25 space o b s e r v a t i o n s equals 416 plus 520 minus 900 equals 36 end style

Answered by | 25 Jan, 2016, 06:02: PM
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