Answer:
The Inter quartile range is $2.25.
Step-by-step explanation:
The Inter quartile range (IQR) is a quantity which tells amount of data contained between the first quartile (Q₁) and third quartile (Q₃).
The IQR can be computed using the formula:
[tex]IQR=Q_{3}-Q_{1}[/tex]
The first quartile (Q₁) is well defined as the mid-value between the minimum value and the median of the data set. Or the mid-value of the first half of the data set is the first quartile.
The third quartile (Q₃) is the mid-value amid the median and the maximum value of the data set. Or the mid-value of the second half of the data set is the Third quartile.
The data set in arranged order is:
S = {$6.50, $8.75, $9.75, $10.25, $11.00, $12.75}
The first half of the data set is:
S₁ = {$6.50, $8.75, $9.75}
The mid-value is $8.75.
The first quartile is, Q₁ = $8.75.
The second half of the data set is:
S₁ = {$10.25, $11.00, $12.75}
The mid-value is $11.00.
The first quartile is, Q₃ = $11.00.
Compute the Inter quartile range as follows:
[tex]IQR=Q_{3}-Q_{1}[/tex]
[tex]=11.00-8.75\\=2.25[/tex]
Thus, the Inter quartile range is $2.25.
Answer:
The range is 6.25 and the interquartile range is 2.25
Step-by-step explanation:
