Solution Found!
In Exercises, find the range, variance, and
Chapter 3, Problem 17BSC(choose chapter or problem)
JFK to LAX Flight Delays Listed below are the arrival delay times (in minutes) of randomly selected American Airline flights from New York's JFK airport to Los Angeles (LAX). Negative values correspond to flights that arrived early before the scheduled arrival time, and positive values represent lengths of delays. (The data are from the Bureau of Transportation, and more data are listed in Data Set 15 in Appendix B.) Some of the sample values are negative, but can the standard deviation ever be negative?
Questions & Answers
QUESTION:
JFK to LAX Flight Delays Listed below are the arrival delay times (in minutes) of randomly selected American Airline flights from New York's JFK airport to Los Angeles (LAX). Negative values correspond to flights that arrived early before the scheduled arrival time, and positive values represent lengths of delays. (The data are from the Bureau of Transportation, and more data are listed in Data Set 15 in Appendix B.) Some of the sample values are negative, but can the standard deviation ever be negative?
ANSWER:
Answer :
Step 1 of 1 :
Given JFK to LAX Flight Delays Listed below are the arrival delay times (in minutes) of randomly selected American Airline flights from New York’s JFK airport to Los Angeles (LAX). Negative values correspond to flights that arrived early before the scheduled arrival time, and positive values represent lengths of delays.
-15 , -18 , -32 , -21 , -9 , -32 , 11 , 2
Now we have to find the range, variance, and standard deviation for the given sample data.
The range is a simple measure of variation in a set of random variables. It is difference between the biggest and smallest random variable.
Range = Maximum value - Minimum value
Given data
-15 , -18 , -32 , -21 , -9 , -32 , 11 , 2
Range = Maximum value - Minimum value
Range = 11 + 32
Range = 43