Question

the minimum of the data is. the first quartile is. the median of the data is. the third quartile is. the maximum of the data is. weight of female dogs (lb.) 4 0 1 3 5 0 8 6 1 2 3 5 7 8 8 9 7

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: Find the first quartile ($Q_1$)

First, order the data. There are $n = 11$ data points. 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.

Step4: Find the median

The position of the median for $n = 11$ data points is $\frac{n + 1}{2}=\frac{11+1}{2}=6$. So the median is the 6th value in the ordered data set, which is 61.

Step5: 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.

Step6: Find the maximum

The maximum is the largest value. So the maximum 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.