find the 5 number summary for the data shown 5 number summary:

Explanation:

Step1: Arrange data in ascending order

2, 5, 7, 17, 22, 26, 39, 42, 59, 61, 68, 69, 84, 98

Step2: Find the minimum

The minimum value is 2.

Step3: Find the first - quartile ($Q_1$)

There are $n = 14$ data points. The position of $Q_1$ is $\frac{n + 1}{4}=\frac{14+ 1}{4}=3.75$. So, $Q_1=7+(17 - 7)\times0.75=7 + 7.5 = 14.5$.

Step4: Find the median ($Q_2$)

The position of the median for $n = 14$ is $\frac{n}{2}=7$ and $\frac{n}{2}+1 = 8$. So, $Q_2=\frac{39 + 42}{2}=40.5$.

Step5: Find the third - quartile ($Q_3$)

The position of $Q_3$ is $\frac{3(n + 1)}{4}=\frac{3\times(14 + 1)}{4}=11.25$. So, $Q_3=61+(68 - 61)\times0.25=61+1.75 = 62.75$.

Step6: Find the maximum

The maximum value is 98.

Answer:

2, 14.5, 40.5, 62.75, 98