Question
The following data represents the cost (in U.S Dollars) of a 1997 Harley Davidson Sportster 883 over the last few years that were sold in
The following data represents the cost (in U.S Dollars) of a 1997 Harley Davidson Sportster 883 over the last few years that were sold in the U.S. I looked online at the first few used motorcycle for sale websites to find these values.
$5,999 $3,500 $5,000 $3,695 $5,900 $4,000 $6,000
$22,000 $6,500 $3,500 $5,500 $3,750 $8,000 $6,500 $3,995 $2,995 $2,999 $3,400 $3,300 $14,515 $19,995
$2,999 $13,000 $4,500 $7,750 $3,700
Q1: What would the population of interest for just the above data? (Answer in a full sentence, with justification) *reminder: state the answer on what it means in the scenario, or in other words, how would you tell someone who knows nothing about statistics what you claim is the population of interest.
Q2: Do you think the data is an accurate representation of the population? (Answer in a full sentence with justification.)
Q3: What kind of sampling method was use to collect the above data? (Answer in a full sentence, with justification.)
Q4: What is the sample size? (Answer in a full sentence, with justification.)
Q5: Why might some of those Sportsters cost over $10k? (Answer in a full sentence, with justification.)
would the population of interest for just the above data? (Answer
Q6: What percentile is the value $5,500? (Interpret, as a sentence, in context.)
Q7: What value represents the 43rdpercentile? (Interpret, as a sentence, in context.)
Q8: Find the 5 # Summary. (Interpret, as a sentence for each value, in context.)
Q9: Find the IQR. (Interpret, as a sentence, in context.)
Q10: Are there any outliers (justify), if so, which values? (Interpret, as a sentence, in context.)
Q11: Find the average cost of the Sportster from the data, then answer if this is a statistic or parameter (justify). (Interpret, as a sentence, in context.)
1997 Honda CMX 250 Rebel
The following data represents the cost (in U.S Dollars) of a Rebel over the last few years that were sold in the U.S. (Values found the same way I did the Sportster)
$1,400 $4,500 $1,350 $2,400 $6,500 $1,500 $2,500 $2,795 $2,777 $5,000 $3,995 $2,200 $1,350
$1,490 $1,250 $2,000 $1,550 $4,399 $1,200 $3,500 $900
$6,500 $2,500 $1,400 $400
Q12: Why might some of those Rebels cost less $1k? (Answer in a full sentence, with justification.)
Q13: Find the 5 Q Summary. (Interpret, as a sentence for each value, in context.)
Q14: Find the IQR. (Interpret, as a sentence, in context.)
Q15: Are there any outliers (justify), if so, which values? (Interpret, as a sentence, in context.)
Q16: Find the average cost of the Rebel from the data. (Interpret, as a sentence, in context.)
Comparing the Two Bikes
Q17: Create, in Excel, a side-by-side box and whisker plot of the two data sets and post the image below. (You can get excel to do a side-by-side box plot on one go.)
Q18: Compare and contrast the shape of the side-by-side box and whisker plots from Q18.
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