Question 4 The table and the graph below show information about the number of students in an education center in each term in years 2018 to 2020. Year 2018 2019 2020 Term 1st 2nd 1st 2nd 1st 2nd summer summer summer Number of students 75 63 90 81 75 96 90 78 102 Number of Students 110 100 90 80 70 60 50 40 2018 2018 2018 2019 2019 2019 2020 2020 2020 1st 2nd Summer 1st 2nd Summer 1st 2nd Summer (a) Describe the trend and seasonal variation of the number of students in this education center based on the above plot. (b) The table below shows the 3-period moving averages about the number of students in the education center: Year Term Number of Students 3-period Moving Average 2018 1st 75 2018 2nd 63 76 2018 summer 90 78 2019 1st 81 K 2019 2nd 75 84 2019 summer 96 87 2020 1st 90 88 2020 2nd 78 W 2020 summer 102 (bi) Calculate the values of K and W for the above 3-period moving average. (bii) Calculate the seasonal variation for 1 term, 2nd term, and summer term respectively by using the above 3-period moving average table.

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Question 4
The table and the graph below show information about the number of students in an education center in each
term in years 2018 to 2020.
Year
2018
2019
2020
Term
1st
2nd
summer
1st
2nd
1st
2nd
summer
summer
Number of students
75
63
90
81
75
96
90
78
102
Number of Students
110
100
90
80
70
60
50
40
2018
2018
2018
2019
2019
2019
2020
2020
2020
1st
2nd
Summer
1st
2nd
Summer
1st
2nd
Summer
(a) Describe the trend and seasonal variation of the number of students in this education center based on the
above plot.
(b) The table below shows the 3-period moving averages about the number of students in the education
center:
Year
Term
Number of Students
3-period Moving Average
2018
1st
75
2018
2nd
63
76
2018
summer
90
78
2019
1st
81
K
2019
2nd
75
84
2019
summer
96
87
2020
1st
90
88
2020
2nd
78
W
2020
summer
102
(bi) Calculate the values of K and W for the above 3-period moving average.
(bii) Calculate the seasonal variation for 1st term, 2nd term, and summer term respectively by using the above
3-period moving average table.
Transcribed Image Text:Question 4 The table and the graph below show information about the number of students in an education center in each term in years 2018 to 2020. Year 2018 2019 2020 Term 1st 2nd summer 1st 2nd 1st 2nd summer summer Number of students 75 63 90 81 75 96 90 78 102 Number of Students 110 100 90 80 70 60 50 40 2018 2018 2018 2019 2019 2019 2020 2020 2020 1st 2nd Summer 1st 2nd Summer 1st 2nd Summer (a) Describe the trend and seasonal variation of the number of students in this education center based on the above plot. (b) The table below shows the 3-period moving averages about the number of students in the education center: Year Term Number of Students 3-period Moving Average 2018 1st 75 2018 2nd 63 76 2018 summer 90 78 2019 1st 81 K 2019 2nd 75 84 2019 summer 96 87 2020 1st 90 88 2020 2nd 78 W 2020 summer 102 (bi) Calculate the values of K and W for the above 3-period moving average. (bii) Calculate the seasonal variation for 1st term, 2nd term, and summer term respectively by using the above 3-period moving average table.
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