I’m confused how Q1 median is 11

How I solved my part for Q1 median:

For interquartile range (IQR) part…

Q1 med(8,9,11,16,16) = 60 then divided by 5 = 12

Did I do math wrong? If so, can someone help me clarify it? Please?

I’m confused how Q1 median is 11

How I solved my part for Q1 median:

For interquartile range (IQR) part…

Q1 med(8,9,11,16,16) = 60 then divided by 5 = 12

Did I do math wrong? If so, can someone help me clarify it? Please?

1 Like

Hi @Polancas, welcome to Achievable, and thanks for posting!

Your math is *almost* correct. The difference is that you’re calculating the **mean**, but for IQR you need to calculate the **median**.

**Mean** is the typical “average” we talk about: the sum of the value divided by the number of values. It’s as you did the math: mean = (8 + 9 +11 +16 +16)/5 = 60/5 = 12

**Median** is the middle-most value. Since it’s already sorted, we can just pick the middle one: median = (8,9, **11**,16,16) = 11.

For **median**, if it is a set with an even amount of numbers, you take the **mean** of the middle-most two values: median = (8,**9**,**16**,16) = (9+16)/2 = 12.5

Hope this helps! Please let me know if I can explain further or if there are other topics I can clarify.

Oh okay, that makes sense! Thank you!

1 Like