00:01
Hello student, the given data is shop visited and the related frequency.
00:05
First we have to find median and median is equal to n plus 1 by 2th observation of data.
00:23
First find the value of n and n is equal to 3 plus 8 plus 24 plus 60 plus 21.
00:34
This is the summation of all frequency.
00:36
You can denote it by the capital n also.
00:44
Here also change it.
00:46
It is with a capital n.
00:50
Total number of observations.
00:51
Then capital n is equal to after simplifying we get this value as 116 and 116 then 116 plus 1 divided by 2th observation of the data and simplify it.
01:14
We get 117 by 2th observation.
01:17
After simplifying again we get this value 58 .5th observation.
01:28
Then 58 .5th observation now take the 50th which is a lower nearest integer of this point plus upper nearest integer and divided by 2.
01:44
Then 50th observation is 3 plus 8 plus 25.
01:48
Then what do we get? then we get here 36.
01:52
Then again plus 60.
01:55
What do we get? here 96.
01:57
Then our 58 and the 98th observations are 12.
02:02
12 plus 12 divided by 2 which is equal to again 12.
02:07
In this way we get the value of median which is equal to 12.
02:14
Now next is q3.
02:16
Q3 is the third quartile of the data which is equal to 3 into n plus 1 by 4th observation of the data.
02:29
Now simplify it.
02:30
Put n equal to 116.
02:32
After simplifying we get this value as 87 .75th observation.
02:41
Again take 87th which is the lowest observation integer and 88 which is the nearest largest observation related with this point and divide it by 2.
02:57
Then 87th and 88th observation.
03:00
Look at here this is the 96th last value of the 96th observation is 12 and we have to find here 87 and 88...