Question

1. In the 2004 Tour de France, Lance Armstrong made history by winning the race for an unprecedented sixth time. In 2005, he became the only 7-time winner and set a new record for the fastest average speed – 41.65 kilometers per hour – that stands to this day. In 2012, he was banned for life for doping offenses, stripped of all of his titles and his records expunged. Use the data set ‘Tour de France 2016’ from ‘data sets in your textbook’ in StatCrunch to answer and complete the following. (You may erase the instructions to this problem if you need more space for your answers.)

1. Identify and state the following W’s of these data: Who, What

1. Create a frequency table for the variable ‘Country’ and provide it here:

(Recommendation: use StatCrunch to create, copy, and paste your table.)

1. Create a Bar Chart for the variable ‘Country’ and provide it here:

(You must use StatCrunch or other Statistical software to copy and paste your Bar Chart.)

1. Create TWO Histograms for the variable ‘Age’ of different interval widths and provide them side-by-side here. (You must use StatCrunch or other Statistical software to copy and paste your histograms.)

Answer 1

Data on the ‘Tour de France 2016’ :

Nationality	Age
Great Britain	31
Colombia	28
Belarus	35
Spain	26
Spain	32
Netherlands	28
Great Britain	26
Great Britain	29
Great Britain	30
Colombia	26
Spain	36
Colombia	27
Spain	32
Spain	25
Spain	28
Spain	27
Spain	34
Portugal	27
Italy	25
Italy	31
Denmark	31
Ukraine	32
Estonia	29
Kazakhstan	23
Italy	27
Spain	32
Italy	38
Spain	33
Slovakia	26
Poland	31
Italy	31
Croatia	29
Czech Republic	30
Poland	26
Italy	42
Denmark	24
France	25
Belgium	30
France	30
France	35
Luxembourg	28
France	28
France	23
Italy	33
France	28
Netherlands	25
New Zealand	26
Netherlands	23
Netherlands	27
Germany	32
Netherlands	23
Belgium	27
Germany	33
Belgium	34
Netherlands	29
Switzerland	35
Spain	36
Switzerland	36
Luxembourg	36
United States	28
Belgium	24
Belgium	25
Spain	39
Switzerland	29
Netherlands	33
France	29
Switzerland	37
Norway	22
Switzerland	30
Australia	26
Belgium	25
Colombia	27
France	29
Denmark	31
United States	24
United States	28
Slovenia	29
Netherlands	31
Lithuania	28
Netherlands	27
Netherlands	23
Australia	31
United States	32
Germany	33
Italy	28
Australia	26
France	34
Switzerland	29
Belgium	31
United States	27

Calculations are done on Minitab.

The frequency distribution is of the above data is :

Nationality	count
Australia	3
Belarus	1
Belgium	7
Colombia	4
Croatia	1
Czech Republic	1
Denmark	3
Estonia	1
France	9
Germany	3
Great Britain	4
Italy	8
Kazakhastan	1
Lithuania	1
luxembourg	2
Netherlands	10
New Zealand	1
Norway	1
Poland	2
Portugal	1
Slovakia	1
Slovenia	1
Spain	12
Switzerland	6
Ukraine	1
United States	5
N=	90

Bar Graph of Countries :

Explanation : X axis = countries, Y axis= counts

The bar graph represents the number of racers from each of the countries participating in the event. The height of the bars represent the total number of racers corresponding to that specific country. Example : The bar corresponding to Spain has a height of 12 i.e 12 racers are participating from Spain. Similarly rest of the bars are decided.

Histogram with unequal class width and equal class width :

Explanation : X axis = age, Y axis = frequency

As we can see, with unequal class widths are heights of the bins are changed. As for example : for the age range (22-25) in the first graph (i.e the first bin), the frequency is 9 whereas in the second graph the first bin has a age range of (21-23) and a frequency of 1. i.e only 1 racer belongs to that age group.

Hence we can conclude with unequal class intervals the histogram will look differently.