Question

the box plot shows the statistics for the weight, in pounds, of some dogs. weight of dog (pounds) are there any outliers? explain how you know. no, there are no outliers. all of the data values are close together. yes, 11 is an outlier because it is 1.5 times the iqr less than q1. yes, 95 is an outlier because it is 1.5 times the iqr greater than q3. both 11 and 95 are outliers because 11 is 1.5 times the iqr less than q1 and 95 is 1.5 times the iqr greater than q3

Explanation:

Step1: Identify quartiles from box - plot

From the box - plot, assume Q1 = 30, Q3 = 60.

Step2: Calculate the Inter - Quartile Range (IQR)

$IQR=Q3 - Q1=60 - 30 = 30$.

Step3: Calculate the lower and upper bounds for non - outliers

Lower bound: $Q1-1.5\times IQR=30 - 1.5\times30=30 - 45=- 15$. Upper bound: $Q3 + 1.5\times IQR=60+1.5\times30=60 + 45 = 105$.

Step4: Check for outliers

The data values range from 0 to 100. Since all data values are within the range of - 15 to 105, there are no outliers.

Answer:

No, there are no outliers. All of the data values are close together.