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Symmetric O Left-skewed Right-skewed The movie Bohemian Rhapsody won Best Picture in 2019. A lot of people liked the movie as show by the
Symmetric O Left-skewed Right-skewed The movie Bohemian Rhapsody won Best Picture in 2019. A lot of people liked the movie as show by the ratings shown below (source: IMDB). What kind of distribution is this? Bohemian Rhapsody (2018) User Ratings 298,119 IMDb users have given a weighted average vote of 8.1/10 8.1 10 IMDb Users Votes 26.5% 79,051 9 24.7% 73,616 8 24.7% 73,784 7 13.7% 40,843 9 5.6% 16,699 5 2.2% 6,680 4 1.0% 2,862 3 0.5% 1,439 2 0.3% 841 1 0.8% 2,304 Rating 10 Consider a data set with five different data values. Suppose the highest value is increased by 10 and the lowest is decreased by 10. (If this question seems confusing because you aren't given any data, make up your own five data values, and then add 10 to the largest one, and subtract 10 from the smallest one.) (a) How does the mean change? The mean increases because the two new values are further away from the rest of the data than they were before. The mean does not change, because the sum of the data does not change. O The mean increases because the sum of the data increases. The mean decreases because the minimum value decreased by 10. (b) How does the median change? The median changes because the sum of the data changes. The median decreases because the minimum value decreased by 10. The median does not change. Changing the minimum and maximum data values does not affect the median. The median increases because the data has more extreme values. The median increases because it is affected by changes to the minimum and maximum values. Again, consider the data set with five different data values. Suppose the highest value is increased by 10 and the lowest is left unchanged. (If this question seems confusing because you aren't given any data, make up your own five data values, and then add 10 to the largest one, and make no change to the smallest one.) (c) How does the mean change? The mean increases because the sum of the data increases. The mean increases because the two new values are further away from the rest of the data than they were before. The mean decreases because the minimum value decreased. The mean does not change, because the sum of the data does not change. (d) How does the median change? The median decreases because most of the data is much lower than the maximum value. The median increases because the sum of the data changes. The median increases because it is affected by changes to the minimum and maximum values. O The median decreases because the minimum value decreased. The median does not change. Changing the maximum data value does not affect the median. Joaquin gets paid every Friday. His paychecks for the past 8 Fridays were $319, $240.25, $240.25, $240.25, $319, $319, $240.25, and $397.75. (a) Find the mean. (Round your answer to the nearest cent.) $ (b) Find the median. (Round your answer to the nearest cent.) $ (c) Find the mode. Additional Materials eBook 15. [-/3.6 Points] DETAILS OSPREALG1 5.5.400. The cash register receipts each day last week at a coffee shop were $1,849, $1,524, $1,442, $1,442, $1,854, $2,725, and $2,543. (a) Find the mean. (Round your answer to to the nearest cent.) $ (b) Find the median. $ (c) Find the mode. Additional Materials MY NOTES ASK O Country O Pop Country- Pop 219 Researcher Andrew Powell-Morse analyzed songs across several musical genres that were number one hits for at least 3 weeks. The boxplots below display the number of unique words that appear in pop and country songs. Precise values are written beneath each boxplot part. Genre 450 463 575 200 300 400 500 600 700 800 a. Which genre has the lower median word count, pop or country? Pop b. Which genre had the most dispersion (variation) in word count, pop or country? Country c. What percentage of country songs have 274 words or less? % d. What percentage of pop songs have more than 463 words? % 784
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