Chapter 13, Problem 2STP

To determine

The correct option which shows the median age of the given stem-and leaf plot:

  

F. $29years$

G. $30years$

H. $31years$

J. $34years$

Answer to Problem 2STP

The correct option is G. The median age is $30years$ .

Explanation of Solution

Given:

  

  $18,19,19,21,22,23,23,23,24,25,25,26,27,29,30,30,31,34,36,36,38,42,43,43,44,46,47,49,5,60,71,74$

Concept Used:

To find the median of the data points, the arrangement of numbers from the least to greatest has to be used.

For the even number of system, the mean of middle two numbers has to calculated which nothing but a median of even data

In case of odd numbers system take middle one number which is the median of system.

Calculation:

Median age of the given set data is calculated as:

Take the agesfrom the least to greatest:

  $18,19,19,21,22,23,23,23,24,25,25,26,27,29,30,30,31,34,36,36,36,38,42,43,43,44,46,47,49,50,60,71,74$

Here is an odd number of system, so take the middle one number which nothing but a median of odd data.

So, the median of the oddnumber system is $30$ .

Conclusion:

Hence,correct option is G.