Problem : Song Length for a Random Sample of Songs

Explore the lengths of time variable from the random sample of 100 iTunes songs data set posted on blackboard. Note, the "Time in Minutes" column converted the data that was written minutes:seconds into minutes written as a decimal. For example 2:30 is written as 2.5 minutes.

Create a frequency histogram of the "Time in Minutes" variable and describe the shape of this histogram. Do you see any possible outliers? If so, please identify the outlier(s) by song title and length of time.

A) Create a relative frequency histogram of the "Time in Minutes" variable. What is the difference between these two graphs?

B) Provide the mean and standard deviation using R.

C) Provide the five-number summary using R (calculate quartiles using Type = 6). Graph the five number summary using a boxplot using R.

D) Mathematically check for outliers using the fence rule (show work by hand). Do these outliers match the ones you identified in part (a) and marked on the boxplot?

E) What would be the most appropriate measures of center and spread for this distribution based on your analysis?

F) Create a frequency histogram of the "Time in Minutes" variable from the "Random Sample of 98 iTunes Songs (2 Outliers Removed)" data set. Describe the shape of the histogram and compare answer to part (a)'s interpretation. Do you see any possible outliers? If so, please identify them.

G) Provide the mean and standard deviation using R. Compare them to your results in part (c) in using one sentence.

H) Provide the five-number summary using R. Graph the five number summary using a boxplot in R.

I) Mathematically check for outliers using the fence rule (show work by hand). Do these outliers match the ones you identified in part (g) and marked on the boxplot?

J) What would be the most appropriate measures of center and spread for this distribution based on your analysis?