Construct one table that includes relative frequencies based on the frequency di

Question

Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and fitered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.) EB Click the icon to view the frequency distributions. Complete the relative frequency table below. Relatve Frequency Frequency Relative Tar (mg) (Nonfiltered)(Fitered 7-11 12-16 17-21 22-26 27-31 32-36 (Simplify your answers.)

Explanation / Answer

Total Frequency = 50

Relative Frequency is defined as the ratio number of frequency of correspondng class to total frequency

Relative Frequency

(Non -Filtered)

Relative Frequency

(Filtered)

The amount of tar is cigarettes can be calculated as

amount of tar = sum ( Relative frequency * m)

where m = mid -point of corresponding class

Amount of tar ( in mg) in Filtered cigarettes = 7.9 mg.

Amount of tar(in mg) in non- filtered cigarettes = 12.7 mg

Since Amount of tar ( in mg) in filtered cigarettes < Amount of tar(in mg) in non- filtered cigarettes

Hence Filtered cigarettes appears to be effective.

Tar ( mg)

Relative Frequency

(Non -Filtered)

Relative Frequency

(Filtered)

2-6 0% 2% 7-11 0% 6% 12-16 2% 14% 17-21 0% 28% 22-26 32% 0% 27-31 14% 0% 32-36 2% 0% Total 50% 50%

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