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 which box plot represents this data?

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.

47 - 90 = 43

43 - 180 = x

x = 137