Answer:
Since the sample size is n=10 we can find the first quartile taking in count the first 5 observations from the data set ordered and we have this:
33 60 62 63 69
![Q_1 =62](https://tex.z-dn.net/?f=%20Q_1%20%3D62)
We can find the third quartile taking in count the last 5 observations from the data set ordered and we have this:
70 74 79 107 119
![Q_3 =79](https://tex.z-dn.net/?f=%20Q_3%20%3D79)
And finally the median can be calculated with the average of the two moddlie values and we got:
![Median= \frac{69+70}{2} =69.5](https://tex.z-dn.net/?f=%20Median%3D%20%5Cfrac%7B69%2B70%7D%7B2%7D%20%3D69.5%20)
And the IQr would be:
![IQR = 79-62= 17](https://tex.z-dn.net/?f=%20IQR%20%3D%2079-62%3D%2017)
Step-by-step explanation:
Assuming that 2 is not part of the data we have:
74, 63, 69, 62, 33, 79, 70, 60, 107, 119
We can sort the values on increasing order and we got:
33 60 62 63 69 70 74 79 107 119
Since the sample size is n=10 we can find the first quartile taking in count the first 5 observations from the data set ordered and we have this:
33 60 62 63 69
![Q_1 =62](https://tex.z-dn.net/?f=%20Q_1%20%3D62)
We can find the third quartile taking in count the last 5 observations from the data set ordered and we have this:
70 74 79 107 119
![Q_3 =79](https://tex.z-dn.net/?f=%20Q_3%20%3D79)
And finally the median can be calculated with the average of the two moddlie values and we got:
![Median= \frac{69+70}{2} =69.5](https://tex.z-dn.net/?f=%20Median%3D%20%5Cfrac%7B69%2B70%7D%7B2%7D%20%3D69.5%20)
And the IQr would be:
![IQR = 79-62= 17](https://tex.z-dn.net/?f=%20IQR%20%3D%2079-62%3D%2017)