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

Bot GPT 3.5 Bot GPT 3.5 answered

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.