medical marijuana 2015 sales tax: the data show the amount of sales tax paid in a county in colorado. find…

medical marijuana 2015 sales tax: the data show the amount of sales tax paid in a county in colorado. find the first and third quartiles for the data.\nmonth sales tax month sales tax\njanuary 363,609 july 518,821\nfebruary 358,117 august 554,528\nmarch 418,598 september 506,670\napril 266,281 october 341,189\nmay 399,306 november 349,569\njune 453,148 december 532,622\nsend data to excel\npart: 0 / 2\npart 1 of 2\nfirst quartile $q_1$ is

medical marijuana 2015 sales tax: the data show the amount of sales tax paid in a county in colorado. find the first and third quartiles for the data.\nmonth sales tax month sales tax\njanuary 363,609 july 518,821\nfebruary 358,117 august 554,528\nmarch 418,598 september 506,670\napril 266,281 october 341,189\nmay 399,306 november 349,569\njune 453,148 december 532,622\nsend data to excel\npart: 0 / 2\npart 1 of 2\nfirst quartile $q_1$ is

Answer

Explanation:

Step1: Arrange data in ascending order

266281, 341189, 349569, 358117, 363609, 399306, 418598, 453148, 506670, 518821, 532622, 554528

Step2: Calculate position of first - quartile

The formula for the position of the first - quartile $Q_1$ is $L_{Q_1}=\frac{n + 1}{4}$, where $n = 12$ (number of data points). So $L_{Q_1}=\frac{12+1}{4}=3.25$.

Step3: Interpolate to find $Q_1$

The 3rd value is 349569 and the 4th value is 358117. $Q_1=349569+(358117 - 349569)\times0.25=349569 + 2137=351706$

Answer:

351706