Statistics Assignment

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STATISTICS |

Frequency Tables, Histograms, Polygons & Ogives |

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Submitted By:

Rose Anne P. Acoyong

Phillip Anthony G. Dawa

07 August 2015

1. Mari’s steakhouse uses a questionnaire to ask customers how they rate the server, food quality, cocktails, prices and atmosphere at the restaurant. Each characteristic is rated on a scale of Outstanding (O), Very Good (VG), Good (G), Average (A), and Poor (P). Construct a frequency distribution, bar graph and pie chart to summarize the data collected on food quality, What is your feeling about the food quality ratings at the restaurant?

Frequency Distribution

Table 1. Mari’s Steakhouse Customer’s Rating

Rating | f | % |

Outstanding | 19 | 38.0 |

Very Good | 13 | 26.0 |

Good | 10 | 20.0 |

Average | 6 | 12.0 |

Poor | 2 | 4.0 |

Total | 50 | 100.0 |

Bar Graph

Fig. 1. Mari’s Steakhouse Customer’s Rating

Pie Chart

Fig. 2. Mari’s Steakhouse Customer’s Rating

The figure shows that Mari’s Steakhouse is able to meet the expectations of their customers since most of the respondents rated Outstanding and only 4% rated Poor. The customers are very much satisfied with the quality of food and service the steakhouse provides.

3a. Construct a Frequency Distribution for this Data Set using 8 Classes.

Table 1: Scores of 40 Job Applicants in an Aptitude Test

Class Interval | Tally | f | Class Boundaries | Class Midpoint | Relative Frequencies | % | Cummulative Frequencies | Cummulative Percentage |

68-77 | IIIII | 5 | 67.5 | 77.5 | 72.5 | 0.125 | 12.5 | 5 | 12.5 |

78-87 | IIIII-II | 7 | 77.5 | 87.5 | 82.5 | 0.175 | 17.5 | 12 | 30.0 |

88-97 | IIIII-II | 7 | 87.5 | 97.5 | 92.5 | 0.175 | 17.5 | 19 | 47.5 |

98-107 | IIIII-IIII | 9 | 97.5 | 107.5 | 102.5 | 0.225 | 22.5 | 28 | 70.0 |

108-117 | IIII | 4 | 107.5 | 117.5 | 112.5 | 0.100 | 10.0 | 32 | 80.0 |

118-127 | IIIII-I | 6 | 117.5 | 127.5 | 122.5 | 0.150 | 15.0 | 38 | 95.0 |

128-137 | I | 1 |...