## Answers

(a)

Vertical bar graph based on the data for all categories of students is shown below.

(b) Pareto Chart -

The frequency, cumulative frequency, percentage and cumulative percentage are given in tabular format as,

Frequency | Cumulative Frequency | Percentage | Cumulative Percentage | |

Freshman | 98 | 98 | 98/200 = 49% | 49% |

Sophomores | 65 | 98+65 = 163 | 65/200 = 32.5% | 49+32.5 = 81.5% |

Junior | 21 | 163 + 21 = 184 | 21/200 = 10.5% | 81.5+10.5 = 92% |

Senior | 16 | 184 + 16 = 200 | 16/200 = 8% | 92 + 8 = 100% |

The pareto chart, based on cumulative frequency and cumulative percentage is shown below.

c) Circle graph

The frequency and percentage are given in tabular format as,

Frequency | Percentage | |

Freshman | 98 | 98/200 = 49% |

Sophomores | 65 | 65/200 = 32% |

Junior | 21 | 21/200 = 10% |

Senior | 16 | 16/200 = 8% |

Total | 200 | 100% |

Circle graph based on the precentages is,

Bar Chart of Students travelling taking city bus Freshman Sophomores Juniors Seniors

Pareto Chart of x 200 100% 80% 150 60% 100 40% 50 20% 0% び)

Pie Chart of Students travelling taking city bus Freshman 49% Seniors 10% Sophomores 32% Juniors 8%

.
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