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The following table contains the number of complaints received in a department store for the first 6 months of last year. Month Complaints Jan Feb Mar O 111 O 78 O 54 36 Apr May Referring to the above table, if a three-term moving average is used to smooth this series, what would be the third calculated term? O 81 45 81 108 144

The following table contains the number of complaints received in a department store for the first 6 months of last year. Month Complaints Jan Feb Mar O 111 O 78 O 54 36 Apr May Referring to the above table, if a three-term moving average is used to smooth this series, what would be the third calculated term? O 81 45 81 108 144

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Number of Complaints in a Department Store (First 6 Months of Last Year) The following table contains the number of complaints received in a department store for the first 6 months of last year. | Month | Complaints | |-------|------------| | Jan | 36 | | Feb | 45 | | Mar | 81 | | Apr | 108 | | May | 144 | **Question:** Referring to the above table, if a three-term moving average is used to smooth this series, what would be the third calculated term? **Options:** - 111 - 78 - 54 - 81 ### Explanation of Moving Average Calculation A three-term moving average is calculated by taking the average of each set of three consecutive terms in the series. For example: - The first moving average term would be the average of Jan, Feb, and Mar values: \( \frac{36 + 45 + 81}{3} \) - The second term would be the average of Feb, Mar, and Apr values: \( \frac{45 + 81 + 108}{3} \) - The third term would be the average of Mar, Apr, and May values: \( \frac{81 + 108 + 144}{3} \) To find the third calculated term: \[ \frac{81 + 108 + 144}{3} = \frac{333}{3} = 111 \] #### Correct Answer: 111
Transcribed Image Text:### Number of Complaints in a Department Store (First 6 Months of Last Year) The following table contains the number of complaints received in a department store for the first 6 months of last year. | Month | Complaints | |-------|------------| | Jan | 36 | | Feb | 45 | | Mar | 81 | | Apr | 108 | | May | 144 | **Question:** Referring to the above table, if a three-term moving average is used to smooth this series, what would be the third calculated term? **Options:** - 111 - 78 - 54 - 81 ### Explanation of Moving Average Calculation A three-term moving average is calculated by taking the average of each set of three consecutive terms in the series. For example: - The first moving average term would be the average of Jan, Feb, and Mar values: \( \frac{36 + 45 + 81}{3} \) - The second term would be the average of Feb, Mar, and Apr values: \( \frac{45 + 81 + 108}{3} \) - The third term would be the average of Mar, Apr, and May values: \( \frac{81 + 108 + 144}{3} \) To find the third calculated term: \[ \frac{81 + 108 + 144}{3} = \frac{333}{3} = 111 \] #### Correct Answer: 111
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