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Assume you collected a quarterly sales data (in millions of dollars) over a four-year period from the first quarter 2016 to the fourth quarter 2019, and computed the seasonal index for each quarter. If the (normalised) seasonal index for the second quarter is 1.02, then we can interpret it as follows. a. In the second quarter, sales are 1.02% above the annual average. b. In the second quarter, sales are 2% above the annual average. c. There is a 2% difference in sales between the second quarter and the third quarter. d. There is a 1.02% difference in sales between the second quarter and the fourth quarter.

Question

Assume you collected a quarterly sales data (in millions of dollars) over a four-year period from the first quarter 2016 to the fourth quarter 2019, and computed the seasonal index for each quarter. If the (normalised) seasonal index for the second quarter is 1.02, then we can interpret it as follows.

a. In the second quarter, sales are 1.02% above the annual average. b. In the second quarter, sales are 2% above the annual average. c. There is a 2% difference in sales between the second quarter and the third quarter. d. There is a 1.02% difference in sales between the second quarter and the fourth quarter.

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Solution

The correct interpretation of a normalized seasonal index of 1.02 for the second quarter is:

b. In the second quarter, sales are 2% above the annual average.

This is because a seasonal index is a way of measuring the variation in an economic variable throughout the year. An index above 1 indicates that sales are above the average, and an index below 1 indicates that sales are below the average. In this case, a seasonal index of 1.02 for the second quarter means that sales in this quarter are 2% above the average for the year.

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