Answer:
Option E - Box plot E
Step-by-step explanation:
Given : Data,
67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19
To find : Which choice below is a boxplot for the following distribution?
Solution :
Step 1- Arranging the data from lowest to highest,
{19,21,35,38,40,40,41,42,46,50,54,56,60,62,64,66,67}
Step 2 - Find the median of the data
As the data is odd numbers so the median is th term.
term.
9th term is 46
∴
Step 3 - To find Upper quartile and lower quartile
Lower quartile data set is the median of the upper terms from median
{19,21,35,38,40,40,41,42}
Median of the set is
∴
Upper quartile data set is the median of the lower terms from median
{ 50,54,56,60,62,64,66,67}
Median of the set is
∴
We have plot the box plot attached below.
Our box plot is matched with Box plot E.
Therefore, Option E is correct.
