Question

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? %

Answer #1

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 |

70 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
9
0.1286
9
1
0.0714
14
2
7
0.1
21
3
11
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4
12
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6
7
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7
9
0.1286
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