Question

What is the interquartile range of this data? 6 7 8 9 Box-and whisker plot titled Temperatures in Celsius ranging from 12 to 48 with the five number summary from left to right 18, 25, 28, 33, and 42

Answer 1

Your answer would be 8
Hope this helps!

Answer 2

What is the interquartile range of this data? 6 7 8 9 Box-and whisker plot titled Temperatures in Celsius ranging from 12 to 48 with the five number summary from left to right 18, 25, 28, 33, and 42

Solution:

The problem is not clear.

But, considering data set is:

18,25,28,33,42

So, if we consider the data set, Interquartile Range is the difference of Quartile3-Quartile1

IQR=Q3-Q1

To find, Q1 and Q3. Let us find the median, or, Q2 first.

Median is the middle term of the data set.

So, Median, Q2=28

Q1 is the median of first half of the data set. That is, 18,25,28

So, Lower Quartile, Q1=25

Q3 is the median of second half of data set. That is, 28, 33,42

So, Upper Quartile, Q3=33

IQR=Q3-Q1

=33-25=8

Answer: IQR=8

If we consider data set: 6,7,8,9

Median, Q2=$\frac{(7+8)}{2}=\frac{15}{2}$=7.5

Lower Quartile, Q1=6.25

Upper Quartile, Q2=8.75

IQR=Q3-Q1=8.75-6.25=2.5

IQR=2.5