Consider the following 29 years worth of observed annual rainfall data (in inches) for a certain weather station shown. Treat the data as samples only. (Note: The data are arranged in chronological manner.) 43.30 53.02 63.52 45.93 48.26 50.51 49.57 43.93 46.77 59.12 54.49 47.38 40.78 45.05 50.37 54.91 51.28 40.01 53.29 67.59 58.71 42.96 55.77 41.31 58.83 48.21 44.67 67.72 43.11 (a) Make a time-series line graph showing the trend of observed rainfall data through time. (For year, just denote it as Year 1, Year 2 etc.). Draw the line graph by hand. (b) Make a grouped data representing the given rainfall data. Use the following class intervals: 40<=X<45, 45<=X<50, 50<=X<55, 55<=X<60, 60<=X<65, and 65<=X<70. (c) Using the grouped data from (b), calculate the following: • mean, median, and mode • variance, standard deviation, coefficient of variation, second coefficient of skewness (classify also if the data set is symmetric, positively skewed, or negatively skewed), and coefficient of kurtosis (classify also if the data set is mesokurtic, platykurtic, or leptokurtic) 3rd quartile, 8th decile, and 85th percentile

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SITUATION 2
Consider the following 29 years worth of observed annual rainfall data (in inches) for a
certain weather station shown. Treat the data as samples only. (Note: The data are
arranged in chronological manner.)
43.30 53.02 63.52 45.93 48.26 50.51 49.57 43.93 46.77 59.12
54.49 47.38 40.78 45.05 50.37 54.91 51.28 40.01 53.29 67.59
58.71 42.96 55.77 41.31 58.83 48.21 44.67 67.72 43.11
(a) Make a time-series line graph showing the trend of observed rainfall data through
time. (For year, just denote it as Year 1, Year 2 etc.). Draw the line graph by hand.
(b) Make a grouped data representing the given rainfall data. Use the following class
intervals: 40<=X<45, 45<=X<50, 50<=X<55, 55<=X<60, 60<=X<65, and 65<=X<70.
(c) Using the grouped data from (b), calculate the following:
• mean, median, and mode
• variance, standard deviation, coefficient of variation, second coefficient of
skewness (classify also if the data set is symmetric, positively skewed, or
negatively skewed), and coefficient of kurtosis (classify also if the data set is
mesokurtic, platykurtic, or leptokurtic)
3rd quartile, 8th decile, and 85th percentile
Transcribed Image Text:SITUATION 2 Consider the following 29 years worth of observed annual rainfall data (in inches) for a certain weather station shown. Treat the data as samples only. (Note: The data are arranged in chronological manner.) 43.30 53.02 63.52 45.93 48.26 50.51 49.57 43.93 46.77 59.12 54.49 47.38 40.78 45.05 50.37 54.91 51.28 40.01 53.29 67.59 58.71 42.96 55.77 41.31 58.83 48.21 44.67 67.72 43.11 (a) Make a time-series line graph showing the trend of observed rainfall data through time. (For year, just denote it as Year 1, Year 2 etc.). Draw the line graph by hand. (b) Make a grouped data representing the given rainfall data. Use the following class intervals: 40<=X<45, 45<=X<50, 50<=X<55, 55<=X<60, 60<=X<65, and 65<=X<70. (c) Using the grouped data from (b), calculate the following: • mean, median, and mode • variance, standard deviation, coefficient of variation, second coefficient of skewness (classify also if the data set is symmetric, positively skewed, or negatively skewed), and coefficient of kurtosis (classify also if the data set is mesokurtic, platykurtic, or leptokurtic) 3rd quartile, 8th decile, and 85th percentile
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