Question

Which choice below is a boxplot for the following distribution? 67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19

Answer 1

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 $\frac{n+1}{2}$ th term.

$\frac{n+1}{2}=\frac{17+1}{2}=9th$ term.

9th term is 46

∴ $Q_2=46$  

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 $M=\frac{38+40}{2}=39$

∴ $Q_1=39$  

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 $M=\frac{60+62}{2}=61$

∴ $Q_3=61$  

We have plot the box plot attached below.

Our box plot is matched with Box plot E.

Therefore, Option E is correct.

Answer 2

Answer:

boxplot e is correct

Step-by-step explanation: