Question

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.
month sales tax month sales tax
january 363,609 july 518,821
february 358,117 august 554,528
march 418,598 september 506,670
april 266,281 october 341,189
may 399,306 november 349,569
june 453,148 december 532,622
send data to excel
part: 0 / 2
part 1 of 2
first quartile $q_1$ is

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