The Los Angeles Times regularly reports the air quality index for various areas
ID: 3433454 • Letter: T
Question
The Los Angeles Times regularly reports the air quality index for various areas of Southern California. A lower index value means better or cleaner air. A sample of air quality index values for Pomona provided the following data: 23, 37, 53, 43, 40, 50, 55, 44, and 45.
Compute the range and interquartile range.
Compute the sample mean, sample variance, and sample standard deviation (to 2 decimals).
A sample of air quality index readings for Anaheim provided a sample mean of 48.3, a sample variance of 136, and a sample standard deviation of 11.66. What comparisons can you make between the air quality in Pomona and that in Anaheim on the basis of these descriptive statistics?
Range Interquartile rangeExplanation / Answer
The Los Angeles Times regularly reports the air quality index for various areas of Southern California. A lower index value means better or cleaner air. A sample of air quality index values for Pomona provided the following data: 23, 37, 53, 43, 40, 50, 55, 44, and 45.
Compute the range and interquartile range.
Sorted data
23
37
40
43
44
45
50
53
55
Range = 55-23=32
Interquartile range
Q1=40
Q3=50
Interquartile range = 50-40=10
Compute the sample mean, sample variance, and sample standard deviation (to 2 decimals).
Sample mean = 390/9=43.33
Sample variance = (17642-3902/9)/8 =
92.75
Sample standard deviation = sqrt( 92.75) = 9.63
A sample of air quality index readings for Anaheim provided a sample mean of 48.3, a sample variance of 136, and a sample standard deviation of 11.66. What comparisons can you make between the air quality in Pomona and that in Anaheim on the basis of these descriptive statistics?
Mean , variance and standard deviation of air quality Index of Pomona are less than Anaheim.
We conclude that Pomona is better or cleaner air than Anaheim
23
37
40
43
44
45
50
53
55
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