If the mean of the observations a, a+6, a+2 , a+8 and a+4 is 11, find (i) the value of 'a' (ii) the median
Answers
Answer:
i)a=-5
9
ii)a+2
Step-by-step explanation:
1)
5a+20=11
=>5a=11-20
=>5a=-9
=>a=5 =>a=-5
-9 9
2) Median=Middle term
=>a,a+6,a+2,a+8,a+4
(1)(2) (3) (4) (5)
=>Median=a+2
(i) The value of a is 7.
(ii) The median is 11.
Step-by-step explanation:
Given : If the mean of the observations a, a+6, a+2 , a+8 and a+4 is 11.
To find : (i) the value of 'a' (ii) the median ?
Solution :
(i) Mean is defined as the sum of observation divided by total number of observation.
i.e.
Substituting the values,
The value of a is 7.
The observations became, 7,7+6,7+2,7+8,7+4
i.e. 7,13,9,15,11
(ii) Arranging into ascending order,
7,9,11,13,15
The median is defined as the central value of observation.
As observations are odd in numbers i.e. 5.
Therefore, the median is 1.
#Learn more
The mean of 10 observations is 7 & the mean of 15 observations is12 then mean of all the observations
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