8.Using the following statistics to describe a distribution of data, what is the interquartile range?
Minimum = 13
Q1 = 25
Median = 54
Q3 = 72
Maximum = 98
25.
12.
85.
47.
IQ = Q3 - Q1
IQR = 72-25 = 47
Thank you! That is a lot of help!!
The interquartile range (IQR) can be calculated by subtracting the first quartile (Q1) from the third quartile (Q3).
In this case, Q1 = 25 and Q3 = 72.
Therefore, the interquartile range (IQR) is calculated as follows:
IQR = Q3 - Q1 = 72 - 25 = 47.
So, the correct answer is 47.
To find the interquartile range, first, we need to determine the range of the data. The range is calculated by subtracting the minimum value from the maximum value. In this case, the range is 98 - 13 = 85.
Next, we need to find the lower quartile (Q1) and the upper quartile (Q3). The interquartile range is then calculated as the difference between the upper quartile and the lower quartile. In this case, Q1 is given as 25 and Q3 is given as 72. Therefore, the interquartile range is calculated as 72 - 25 = 47.
So, the correct answer is 47.