91Ó°ÊÓ

We have been given that

$1,2,3,4,1,2,3,4$

Now we find quartiles, inter quartiles and five number summary

The known data is arranged in ascending order is,

$1,1,2,2,3,3,4,4$

The least value, also known as the minimum, is a descriptive statistics that represents the smallest

Number within the data set,

So, Least value$=1$

The lower quartiles, also known as $Q_1$is a deceptive statistics that represents the number in the

Middle of the lower half of the data set,

So, localid="1650714876470" $Q_1=1.5$

The median, also known as localid="1650965404186" $Q_2$, is a deceptive statistics that represents the number in the middle

Of all the data within the data set,

Medianlocalid="1650965549624" $=\frac{2+3}{2}=2.5$

The upper quartile, also known as$Q_3$, is deceptive statistics that represents the number in the

Upper half of the data set,

$Q_3=3.5$

The upper extreme, also known as the maximum, is a descriptive statistics that represent the

Largest number within the data set.

Highest value=$4$

The range of values that resides in the middle of the scores,
$Interquartile=Q_3-Q_1$

$⇒Q_3-Q_1=3.5-1.5=2$

Now we draw a Boxplots,