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Homework 1-due Thursday, Jan 31 , n class (all graphs should be done by hand-you will never do it again) 。 1.The first 24 qualifying times for the inaugural race of the NASCAR Winston Cups California 500 are listed in the table: . Pontiac 181.607 181.493 180.991 180.655 Chevrolet . 183.015 182.894 182.75518 182.553 182.209 181.915 181.823 181.283 Ford 182.927 182.482 182.163 181.653 181.410 181.383 181.018 180.900 180.814 180.795 180.764 180.614 a. Draw a graph to compare the times of the top 24 qualifiers for cach of the threc car makes b. Construct a relative frequency histogram to describe the distribution of the 24 top qualifying times. How do you describe the shape of the distribution? c. Construct three stem and leaf plots to compare the qualifying times for the three makes of race cars. - d. Write a paragraph summarizing the results of parts a, b, and c

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Answer #1

Answer: ----                                                Date: ----29/01/2019

Rcode:

> boxplot(df)

> hist(c(p,c,f),probability = T)

> stem(p)

The decimal point is 1 digit(s) to the left of the |

1806 | 7

1808 | 9

1810 |

1812 |

1814 | 9

1816 | 1

> stem(c)

The decimal point is at the |

181 | 3

181 | 89

182 | 2

182 | 689

183 | 0

> stem(f)

The decimal point is at the |

180 | 68889

181 | 044

181 | 7

182 | 2

182 | 59


co CN co a) Here the box plot shows the data related to times of the top 24 qualifiers for each of the three car makers. b) As far the shape of relative frequency histogram this can be clearly stated that the distribution of the data is postively skew. Most of the data values lies within 180.5 to 181.5 or less symetric. d) Here, the distribution of the data is positively skewed. As the stem-leaf plot suggests that the number of elements in the 1st two dataset is more or less symetric but the 3rd variable has a skewed distribution. Most of the data points lies between 180-180.5.

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