question 6 of 10 (1 point) | question attempt: 2 of unlimited\nmedical marijuana 2015 sales tax: the data…

question 6 of 10 (1 point) | question attempt: 2 of unlimited\nmedical 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 363,928 july 518,583\nfebruary 358,571 august 554,601\nmarch 418,451 september 506,699\napril 266,614 october 341,937\nmay 399,807 november 349,730\njune 453,668 december 532,186\nsend data to excel\npart: 0 / 2\npart 1 of 2\nfirst quartile $q_1$ is

question 6 of 10 (1 point) | question attempt: 2 of unlimited\nmedical 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 363,928 july 518,583\nfebruary 358,571 august 554,601\nmarch 418,451 september 506,699\napril 266,614 october 341,937\nmay 399,807 november 349,730\njune 453,668 december 532,186\nsend data to excel\npart: 0 / 2\npart 1 of 2\nfirst quartile $q_1$ is

Answer

Explanation:

Step1: Arrange data in ascending order

266614, 341937, 349730, 358571, 363928, 399807, 418451, 453668, 506699, 518583, 532186, 554601

Step2: Calculate position of $Q_1$

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

Step3: Interpolate to find $Q_1$

The 3rd value is 349730 and the 4th value is 358571. $Q_1=349730+(358571 - 349730)\times0.25=349730 + 2210.25=351940.25$

Answer:

351940.25