Final answer:
The first quartile (Q1) of the medical marijuana sales tax data is calculated by first arranging the data in ascending order, then finding the average of the 3rd and 4th lowest values which results in Q1 being 353,912.
Step-by-step explanation:
To find the first quartile (Q1) of the sales tax data for medical marijuana sales, we first need to organize the data in ascending order and then locate the median of the lower half of the data. Let's first list the monthly sales tax amounts in ascending order:
- 266,428 (April)
- 341,543 (October)
- 349,257 (November)
- 358,567 (February)
- 363,296 (January)
- 399,650 (May)
- 418,559 (March)
- 453,134 (June)
- 506,314 (September)
- 518,704 (July)
- 532,331 (December)
- 554,227 (August)
There are 12 data points, so the lower half will consist of the first 6 numbers when the dataset is ordered. Since there is an even number of data points in the lower half, Q1 will be the average of the 3rd and 4th lowest values, which are 349,257 and 358,567 respectively. Now let's calculate the average.
Q1 = (349,257 + 358,567) / 2 = 353,912
Therefore, the first quartile of the medical marijuana sales tax data is 353,912.