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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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.
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)
o 1st quartile, 4th decile, and 35th
percentile
Transcribed Image Text:(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) o 1st quartile, 4th decile, and 35th percentile
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