the minimum of the data is \nthe first quartile is \nthe median of the data is \nthe third quartile is \nthe…

Explanation:

Step1: Write out the data set

The data set from the stem - and - leaf plot is (40,41,43,50,58,61,62,63,65,78,97).

Step2: Find the minimum

The minimum is the smallest value. So, the minimum is (40).

Step3: Arrange data in ascending order

The data is already in ascending order: (40,41,43,50,58,61,62,63,65,78,97). There are (n = 11) data points.

Step4: Find the first quartile (Q_1)

The position of (Q_1) is (\frac{n + 1}{4}=\frac{11+ 1}{4}=3). So, (Q_1) is the 3rd value in the ordered data set, which is (43).

Step5: Find the median

The position of the median for (n = 11) (odd number of data points) is (\frac{n + 1}{2}=\frac{11+1}{2}=6). So, the median is the 6th value, which is (61).

Step6: Find the third quartile (Q_3)

The position of (Q_3) is (\frac{3(n + 1)}{4}=\frac{3\times(11 + 1)}{4}=9). So, (Q_3) is the 9th value in the ordered data set, which is (65).

Step7: Find the maximum

The maximum is the largest value, which is (97).

Answer:

The minimum of the data is (40). The first quartile is (43). The median of the data is (61). The third quartile is (65). The maximum of the data is (97).