Question

What is the five-number summary for the data set? 3, 7, 10, 15, 18, 19, 25 A 3, 10, 15, 18, 25 B. 3, 7, 15, 19, 25C. 3, 7, 15, 18, 25 D. 3, 7, 10, 15, 18

Answer 1

The five-number summary is 3,7,15,19,25 ; option B

Here, we want to get the five number summary

These are values that typically descibes the set of values

What we need in the 5 number summary are;

1) Minimum value

2) First quartile

3) Median

4) Second quartile

5) Maximum value

1)The minimum value is the smallest value of the set which is 3

2) To get the first quartile, we use the formula below, where n represents the number of values in the set = 7

`\begin{gathered} ((n+1))/(4)th\text{ term} \\ \\ (7+1)/(4)\text{ = 2nd term} \end{gathered}`

The 2nd term is 7

3) The median is the middle number

In this case, this is 15

4) The second quartile can be calculated with the formula;

`(3(n+1))/(4)\text{ = }(3(7+1))/(4)\text{ = 6th term}`

The sixth term is 19

5) The maximum number is 25

So the five-number summary is;

3,7,15,19,25