Question
Marcus asked 10 people at a juggling festival what age they were when they started to juggle. Which interval contains the median age?
Answer:
See Explanation
Explanation:
Given
![n = 10](https://img.qammunity.org/2022/formulas/mathematics/high-school/5637cnn9xyxo0qi78kwa566dvx4a2zc86q.png)
Required
The median interval
The question is incomplete, as the required data is not given.
To solve this question, I will use the following assumed dataset.
![Age:17\ 17\ 18\ 20\ 21\ 22\ 22\ 24\ 28\ 28](https://img.qammunity.org/2022/formulas/mathematics/high-school/53skq3v33569o28t6j16kxmb0ik6kci9ek.png)
First, calculate the median position.
![Median = (n+1)/(2)\ th](https://img.qammunity.org/2022/formulas/mathematics/high-school/uwsaxr4opwkv49ryjjvoz7o52azii36bmv.png)
![Median = (10+1)/(2)\ th](https://img.qammunity.org/2022/formulas/mathematics/high-school/syqj2ikly9q6hmapqt9y211o3ib36nlup7.png)
![Median = 5.5\ th](https://img.qammunity.org/2022/formulas/mathematics/high-school/nlurzs4uqct0i18npprb4ks3ck226r2xjf.png)
This implies that the median is the mean of the 5th and 6th data
So, we have the interval to be.
![Median = [5th, 6th]](https://img.qammunity.org/2022/formulas/mathematics/high-school/r5byevr02l3fuc8tgu28d0xp05a3w5mrfx.png)
![Median=[21,22]](https://img.qammunity.org/2022/formulas/mathematics/high-school/9n9vd59nleq1yw7ytu1kdd4opqyinlp6ld.png)
Generally, the median of 10 data set is located at interval 5 to 6