which values are outliers? 5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9 select outlier or not…

which values are outliers? 5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9 select outlier or not outlier for each data point. data outlier not outlier 0.8 1.1 10.2 10.9

which values are outliers? 5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9 select outlier or not outlier for each data point. data outlier not outlier 0.8 1.1 10.2 10.9

Answer

Explanation:

Step1: Order the data

$0.8, 1.1, 4.9, 5.2, 5.8, 5.9, 6.1, 6.1, 7.4, 10.2, 10.9$

Step2: Find the median (Q2)

There are 11 data - points. The median is the 6th value, so $Q2 = 5.9$.

Step3: Find the lower half and Q1

The lower half is $0.8, 1.1, 4.9, 5.2, 5.8$. The median of the lower half (Q1) is 4.9.

Step4: Find the upper half and Q3

The upper half is $6.1, 6.1, 7.4, 10.2, 10.9$. The median of the upper half (Q3) is 7.4.

Step5: Calculate the inter - quartile range (IQR)

$IQR=Q3 - Q1=7.4 - 4.9 = 2.5$.

Step6: Calculate the lower and upper bounds for non - outliers

Lower bound: $Q1-1.5\times IQR=4.9-1.5\times2.5=4.9 - 3.75 = 1.15$. Upper bound: $Q3 + 1.5\times IQR=7.4+1.5\times2.5=7.4 + 3.75 = 11.15$.

Step7: Determine outliers

Values less than 1.15 or greater than 11.15 are outliers.

Answer:

0.8: Outlier 1.1: Outlier 10.2: Not Outlier 10.9: Not Outlier