45 53 58 60 62 65 68 72 80 find the IQR

Answer 1

To find the Interquartile Range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3).

We have the following data:
45, 53, 58, 60, 62, 65, 68, 72, 80

First, we need to find the median:
Median = (62 + 65) / 2 = 63.5

Now, we need to find Q1 and Q3. Q1 will be the median of the values below 63.5, and Q3 will be the median of the values above 63.5.

Q1 = (53 + 58) / 2 = 55.5
Q3 = (68 + 72) / 2 = 70

Now we can find the IQR:
IQR = Q3 - Q1
IQR = 70 - 55.5
IQR = 14.5

Therefore, the Interquartile Range (IQR) of the given data set is 14.5.