Respuesta :
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
[tex] Q_1 =62[/tex]
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
[tex] Q_3 =79[/tex]
And finally the median can be calculated with the average of the two moddlie values and we got:
[tex] Median= \frac{69+70}{2} =69.5 [/tex]
And the IQr would be:
[tex] IQR = 79-62= 17[/tex]
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
[tex] Q_1 =62[/tex]
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
[tex] Q_3 =79[/tex]
And finally the median can be calculated with the average of the two moddlie values and we got:
[tex] Median= \frac{69+70}{2} =69.5 [/tex]
And the IQr would be:
[tex] IQR = 79-62= 17[/tex]
