Question

Calculate the value of an outlier by using the 1.5xiqr rule. using the number of minutes per call in last month's cell phone bill, eddie calculated the upper quartile to be 23 minutes and the lower quartile to be 15 minutes. any value less than minutes is an outlier.

a. 12
b. 5
c. 8
d. 3

Answer 1

To find the value of an outlier using the 1.5 x IQR rule, you calculate the IQR by subtracting the lower quartile from the upper quartile and then subtract 1.5 times the IQR from the lower quartile. The lower quartile is 15 minutes, and the upper quartile is 23 minutes, leading to an IQR of 8 minutes. Thus, any value less than 3 minutes is an outlier.

Step-by-step explanation:

To calculate the value of an outlier using the 1.5 x IQR rule, we first need to determine the interquartile range (IQR), which is the difference between the upper quartile (Q3) and the lower quartile (Q1). In this case, Eddie has calculated the upper quartile to be 23 minutes and the lower quartile to be 15 minutes.

The IQR can be calculated as follows:

1. 
   
2. IQR = Q3 - Q1
3. 
   
4. IQR = 23 minutes - 15 minutes
5. 
   
6. IQR = 8 minutes

Next, we calculate the lower bound for an outlier by subtracting 1.5 times the IQR from the lower quartile (Q1):

1. 
   
2. Lower Bound = Q1 - (1.5 x IQR)
3. 
   
4. Lower Bound = 15 minutes - (1.5 x 8 minutes)
5. 
   
6. Lower Bound = 15 minutes - 12 minutes
7. 
   
8. Lower Bound = 3 minutes

Therefore, any value less than 3 minutes is considered an outlier based on the 1.5 x IQR rule.

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