## Related questions with answers

At Center Hospital there is some concern about the high turnover of nurses. A survey was done to determine how long (in months) nurses had been in their current positions. The responses (in months) of 20 nurses were

$\begin{array}{cccccccccc} 23 & 2 & 5 & 14 & 25 & 36 & 27 & 42 & 12 & 8 \\ 7 & 23 & 29 & 26 & 28 & 11 & 20 & 31 & 8 & 36 \end{array}$

Make a box-and-whisker plot of the data. Find the interquartile range.

Solution

VerifiedOrder the number from smallest to largest:

2, 5, 7, 8, 8, 11, 12, 14, 20, 23, 23, 25, 26, 27, 28, 29, 31, 36, 36, 42

Since the number of scores is even, the median is the average of the middle scores:

$M=Q_2=\dfrac{23+23}{2}=23$

The first quartile is the median of the data values below the median (or at 25% of the data):

$Q_1=\dfrac{8+11}{2}=9.5$

The third quartile is the median of the data values above the median (or at 75% of the data):

$Q_3=\dfrac{28+29}{2}=28.5$

The interquartile range IQR is the difference of the third and first quartile:

$IQR=28.5-9.5=19$

## Create a free account to view solutions

## Create a free account to view solutions

## Recommended textbook solutions

#### Probability and Statistics for Engineers and Scientists

9th Edition•ISBN: 9780321629111 (4 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers#### Understanding Basic Statistics

8th Edition•ISBN: 9781337558075Charles Henry Brase, Corrinne Pellillo Brase#### The Practice of Statistics for the AP Exam

5th Edition•ISBN: 9781464108730 (1 more)Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor#### Statistics and Probability with Applications

3rd Edition•ISBN: 9781464122163Daren S. Starnes, Josh Tabor## More related questions

1/4

1/7