Solution Found!
The ERA recently released the following air quality
Chapter 3, Problem 64E(choose chapter or problem)
Problem 64E
The ERA recently released the following air quality indexes for selected metropolitan areas.
Index |
Metropolitan Area |
Index |
Metropolitan Area |
41 |
Allentown-Bethlehem-Easton, PA |
29 |
Monroe, LA |
45 |
Athens, GA |
48 |
New York, NY |
44 |
Bergen-Passaic, NJ |
34 |
Oakland, CA |
39 |
Buffalo-Niagara Falls, NY |
31 |
Pittsfield, MA |
32 |
Cedar Rapids, IA |
36 |
Reading, PA |
42 |
Cleveland-Lorain—Elyria, OH |
31 |
Rochester, NY |
37 |
Florence, AL |
38 |
San Antonio, TX |
41 |
Fort Worth–Arlington, TX |
42 |
Savannah, GA |
37 |
Goldsboro, NC |
35 |
Scranton-Wilkes Barre–Hazleton, PA |
38 |
Huntsville, AL |
36 |
Vineland-Millville–Bridgeton, NJ |
38 |
Jacksonville, FL |
54 |
Visalia–Tulare-Porterville, CA |
33 |
Johnstown, PA |
47 |
Wheeling, WV–OH |
20 |
Mayaguez, PR |
|
|
a. Find the mean, median, and mode of this data set.
b. What are the range and standard deviation of the readings?
c. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations.
Questions & Answers
QUESTION:
Problem 64E
The ERA recently released the following air quality indexes for selected metropolitan areas.
Index |
Metropolitan Area |
Index |
Metropolitan Area |
41 |
Allentown-Bethlehem-Easton, PA |
29 |
Monroe, LA |
45 |
Athens, GA |
48 |
New York, NY |
44 |
Bergen-Passaic, NJ |
34 |
Oakland, CA |
39 |
Buffalo-Niagara Falls, NY |
31 |
Pittsfield, MA |
32 |
Cedar Rapids, IA |
36 |
Reading, PA |
42 |
Cleveland-Lorain—Elyria, OH |
31 |
Rochester, NY |
37 |
Florence, AL |
38 |
San Antonio, TX |
41 |
Fort Worth–Arlington, TX |
42 |
Savannah, GA |
37 |
Goldsboro, NC |
35 |
Scranton-Wilkes Barre–Hazleton, PA |
38 |
Huntsville, AL |
36 |
Vineland-Millville–Bridgeton, NJ |
38 |
Jacksonville, FL |
54 |
Visalia–Tulare-Porterville, CA |
33 |
Johnstown, PA |
47 |
Wheeling, WV–OH |
20 |
Mayaguez, PR |
|
|
a. Find the mean, median, and mode of this data set.
b. What are the range and standard deviation of the readings?
c. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations.
ANSWER:
Answer:
Step 1 of 3:
(a)
The ERA recently released the following air quality indexes for selected metropolitan areas.
Index |
Metropolitan Area |
Index |
Metropolitan Area |
41 |
Allentown-Bethlehem-Easton, PA |
29 |
Monroe, LA |
45 |
Athens, GA |
48 |
New York, NY |
44 |
Bergen-Passaic, NJ |
34 |
Oakland, CA |
39 |
Buffalo-Niagara Falls, NY |
31 |
Pittsfield, MA |
32 |
Cedar Rapids, IA |
36 |
Reading, PA |
42 |
Cleveland-Lorain—Elyria, OH |
31 |
Rochester, NY |
37 |
Florence, AL |
38 |
San Antonio, TX |
41 |
Fort Worth–Arlington, TX |
42 |
Savannah, GA |
37 |
Goldsboro, NC |
35 |
Scranton-Wilkes Barre–Hazleton, PA |
38 |
Huntsville, AL |
36 |
Vineland-Millville–Bridgeton, NJ |
38 |
Jacksonville, FL |
54 |
Visalia–Tulare-Porterville, CA |
33 |
Johnstown, PA |
47 |
Wheeling, WV–OH |
20 |
Mayaguez, PR |
|
|
We are asked to find the mean, median, and mode of this data set.
Since the number is odd, then the median is the middle value of sorted numbers.
Mode: The value of the observation that appears most frequently.
Hence the mean, median, and mode of this data set are respectively.