00:01
The 5 number summary for the ages of 100 respondents to a survey on cell phone use is given.
00:12
The minimum value is given as 9.
00:15
The first quartile is given as 18.
00:18
The median value is given as 33.
00:22
The third quartile is given as 41 and the maximum value is given as 210.
00:29
Then we need to check whether there is any outlier in this data.
00:36
First, let us compute interquartile range iqr, which is equal to q3 minus q1, that is 41 minus 18 is equal to 23.
00:52
Now find the upper outlier limit and the lower outlier limit.
00:58
The upper outlayer limit can be obtained using the formula q3 plus 1 .5 iqr, that is equal to 41 plus 1 .5 into 23, which is equal to 75 .5 .5.
01:19
The lower outlayer limit can be obtained using the formula q1 minus 1 .5 iqr, that is 18 minus 1 .5 into 23, which is equal to minus 16 .5.
01:40
Therefore, the upper outlier limit is 75 .5 and the lower outlier limit is minus 16 .5.
01:51
Any values that lies beyond these values are considered as outliers.
02:00
Note that in the given 5 number summary, the maximum value is 210 which is beyond the outlier limits.
02:12
Therefore, the maximum value is considered as outlier.
02:18
Also note that 210 is an impossible value for age.
02:27
That is, none of the respondents can have an age of 210...