Answer:
Refer the attached figure.
Step-by-step explanation:
Given : The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks.
{ 19, 6, 10, 7, 9, 5, 8, 9, 12, 9, 17, 14, 17, 18, 19 }
To find : Box plot of the data set?
Solution :
Step 1- Arranging the data from lowest to highest,
{5,6,7,8,9,9,9,10,12,14,17,17,18,19,19}
Step 2 - Find the median of the data
As the data is odd numbers so the median is
th term.
term.
8th term is 10 ⇒ Median =10
Step 3 - To find Upper quartile and lower quartile
Lower quartile data set is the median of the upper terms from median
{5,6,7,8,9,9,9}
Median of the set is 8
∴
Upper quartile data set is the median of the lower terms from median
{12,14,17,17,18,19,19}
Median of the set is 17
∴
Now, the box plot is created with the data above.
Refer the attached figure below.