Question

Find the minimum first quartile median third and maximum of the data set

Answer 1

To find the things we need we first need to order the data set. The ordered data is:

49, 50, 51, 52, 52, 52, 53, 55, 67

Now that we have the data in order we notice that the minimum is 49.

To find the first quartile we need to divide the data in two sets with equal number of data, that is:

{49, 50, 51, 52} 52 {52, 53, 55, 67}

The first quatile is the mean of the first data set, that is:

`Q_1=(50+51)/(2)=50.5`

The median is the middle value of the set, in this case 52.

The third quartile is the mean of the second data set, that is:

`Q_3=(53+55)/(2)=54`

Finally the maximum value is 67.