00:01
Hello students, for this question we need to find the quartiles and iqr and outliers.
00:06
So first we need to arrange the given data in ascending order which is 15, 29, 30, 34, 36, 37, 37, 38, 39, 40 and then 40, 42, 42, 43, 44, 48, 49, 50, 53 and 54.
00:38
Here the number of data which is equal to 20 and then it is even.
00:42
Then here we need to find the first quartile value, the q1 which is the formula for even numbers n plus 2 by 4th observation.
00:59
So which is here 20 plus 2 by 4 we get 22 by 4 which is 5 .5th observation.
01:12
From the given data the answer is 36 .5.
01:21
Then to calculate the q2 which is n plus 2 by 2th observation which is equal to 20 plus 2 divided by 2 we get 22 by 2 is equal to the 11th observation which is equal to 40.
01:44
Then the formula to calculate q3 which is 3 into n plus 2 divided by 4th observation which is equal to 3 into 5 .5th observation now which is equal to 46.
02:08
Therefore here we need to find the iqr, the interquartile range is equal to q3 minus q1...