Question

# 110 adults with gum disease were asked the number of times per week they used to...

110 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below:

 # of times floss per week Frequency Relative Frequency Cumulative Frequency 0 10 1 15 0.1364 2 15 0.1364 40 3 16 0.1455 56 4 14 0.1273 70 5 12 0.1091 82 6 15 0.1364 97 7 13 0.1182 110

a. Complete the table (Use 4 decimal places when applicable)

b. What is the cumulative relative frequency for flossing 7 times per week? %

Ans:

a)Frequency column should sum up to 110.

All given frequences sum upto 100,so missing frequency is will be=110-100=10

Relative frequency coulmn should sum upto 1.

All given relative frequencies sum upto 0.9093,so missing relative frequency will be=1-0.9093=0.0907

cumulative frequency corresponding to 1 times floss per week=10+15=25

b)cumulative relative frequency for flossing 7 times per week=1 or 100%

 # of times floss per week Frequency Relative Frequency Cumulative Frequency cumulative relative Frequency 0 10 0.0907 10 0.0907 1 15 0.1364 25 0.2271 2 15 0.1364 40 0.3635 3 16 0.1455 56 0.509 4 14 0.1273 70 0.6363 5 12 0.1091 82 0.7454 6 15 0.1364 97 0.8818 7 13 0.1182 110 1

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