Determine the quartile or interquartile range as specified.
-The weekly salaries (in dollars)of sixteen government workers are listed below. Find the interquartile range. $$\begin{array} { l l l l }
787 & 630 & 820 & 670 \
475 & 617 & 534 & 661 \
580 & 691 & 875 & 520 \
593 & 460 & 560 & 490
\end{array}$$
A)$150
B)$153.50
C)$297
D)$162.25

Question

Determine the quartile or interquartile range as specified.
-The weekly salaries (in dollars)of sixteen government workers are listed below. Find the interquartile range. $$\begin{array} { l l l l } 
787 & 630 & 820 & 670 \
475 & 617 & 534 & 661 \
580 & 691 & 875 & 520 \
593 & 460 & 560 & 490
\end{array}$$ 
A)$150
B)$153.50
C)$297
D)$162.25

Quizplus · Accepted Answer

To find the interquartile range (IQR), we first need to arrange the data in ascending order and then find the first quartile (Q1) and the third quartile (Q3). The IQR is the difference between Q3 and Q1.Arranged data: 460, 475, 490, 520, 534, 560, 580, 593, 617, 630, 661, 670, 691, 787, 820, 875.Since there are 16 data points, Q1 is the average of the 4th and 5th values, and Q3 is the average of the 12th and 13th values.Q1 = (520 + 534) / 2 = 527Q3 = (670 + 691) / 2 = 680.5IQR = Q3 - Q1 = 680.5 - 527 = 153.5

Determine the Quartile or Interquartile Range as Specified 787630820670475617534661580691875520593460560490\begin{array} { l l l l } 787 & 630 & 820 & 670 \\475 & 617 & 534 & 661 \\580 & 691 & 875 & 520 \\593 & 460 & 560 & 490\end{array}787475580593​630617691460​820534875560​670661520490​

Determine the Quartile or Interquartile Range as Specified $\begin{array} { l l l l } 787 & 630 & 820 & 670 \\475 & 617 & 534 & 661 \\580 & 691 & 875 & 520 \\593 & 460 & 560 & 490\end{array}$