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

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Chapter1: Starting With Matlab
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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:
o mean, median, and mode
o variance, standard deviation, coefficient of variation, first
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)
1st quartile, 4th decile, and 35th percentile
Transcribed Image Text: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: o mean, median, and mode o variance, standard deviation, coefficient of variation, first 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) 1st quartile, 4th decile, and 35th percentile
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