Remember that the outlier is an extremely high or extremely low value when compared with the rest of the values in the data set.
There is no answer for this exercise
Practice makes perfect
We want to check whether there are any outliers. Let's start by defining some important characteristics of data sets.
Lower Quartile (Q1) is the median of the lower half of the data set.
Upper Quartile (Q3) is the median of the upper half of the data set.
Interquartile Range is the difference between the upper and lower quartiles (Q3-Q1).
Let's find the upper quartile, the lower quartile, and the interquartile range for the given data set. Do not forget to write the values in numerical order!
0, 10, 11, 14, 15 | 16, 17, 19, 19, 21We have one middle value for each half.
Upper Quartile:& 19
Lower Quartile:& 11
Interquartile Range:& 19- 11= 8
An outlier is an extremely high or extremely low value when compared with the rest of the values in the set. To check for them, we look for data values that are beyond the upper or lower quartiles by more than 1.5 times the interquartile range.
Minimum=& Q1-IQR*1.5
Maximum=& Q2+IQR*1.5
Let's find the minimum and maximum for a value not to be an outlier.
ccc
Minimum& &Maximum
11-1.5* 8=-1 & & 19+1.5* 8=31
Any value between -1 and 31 is not an outlier. All the numbers in the data set are non-negative. Therefore, they are all greater than - 1. Furthermore, all values are less than 31.
0, 10, 11, 14, 15, 16, 17, 19, 21, 21
However, despite the fact that 0 is larger than -1, it is significantly lower than other values in the data set. Therefore, it can be considered as an outlier.
