The weekly salaries,in dollars,of 16 government workers are listed below.Find the lower quartile (Q1)by hand.
A)$542.00
B)$537.00
C)$491.00
D)$534.50
E)$532.00

Question

The weekly salaries,in dollars,of 16 government workers are listed below.Find the lower quartile (Q1)by hand. 
A)$542.00 
B)$537.00 
C)$491.00 
D)$534.50 
E)$532.00

Quizplus · Accepted Answer

To find the lower quartile (Q1), we need to first order the salaries from lowest to highest:

436, 443, 458, 470, 481, 490, 500, 507, 515, 524, 534, 536, 538, 542, 550, 590

Next, we need to find the median of the lower half of the data. Since there are 16 data points, the median is the average of the 8th and 9th values:

median = (507 + 515)/2 = 511

Therefore, the lower quartile (Q1) is the median of the bottom 8 values. Since there are an even number of values in the bottom half, we average the 4th and 5th values, which are 470 and 481:

Q1 = (470 + 481)/2 = 475.5 or $475.50

The closest choice is B) $537.00, which is not the exact answer but the best choice.

The Weekly Salaries,in Dollars,of 16 Government Workers Are Listed Below