Given the prices of 7 laptops:
$199, $430, $275, $295, $347, $580, and $489
Let's find the interquartile range.
The IQR is the difference between the first quartile and the third quartile
To find the interquartile range (IQR), let's arrrange the numbers in ascending order:
$199, $275, $295, $347, $430, $489, $580
First find the first quartile (Q1).
The Q1 is the median of the lower half of data.
Lower half of data ==> $199, $275, $295
Median of upper half Q1 = $275
Find the third quartile (Q3):
The Q3 is the median of the upper half of data.
Upper half of data ==> $430, $489, $580
Median of upper half Q3 = $489
Thus, we have:
Q1 = $275
Q3 = $489
To find the IQR, we have:
IQR = Q3 - Q1
IQR = $489 - $275
IQR = $214
Therefore, the interquartile range, IQR, is $214