Short Answer

7. The back-to-back stem-and-leaf plot below shows the ages of patients seen by two doctors in a (4 poin family clinic in one day. Compare the ages of the patients of Doctor 1 and Doctor 2 using the mean and the median of each data set. Ages of Doctor's Patients Doctor 1 Doctor 2 3 5 920 2 00236 875 1 37 973211 0 2239 Key: means 29 9 |2 13 - means 23

The answers and explanations are stated below. Thank you.

Step-by-step explanation

Solutions:

The Median of that data is the number in the middle of a set of numbers from least to greatest.

 Mean of the data is the average ages of the patients which can be expressed by adding all ages together from 1 doctor and dividing it by the amount of ages there are.

To read this stem and leaf plot you will look at the values to the left as Doctor 1 and values to the right Doctor 2.

But you when you add all the number together you divide that number by how many numbers there are in the data set.

Doctor 1:

1, 1, 2, 3, 7, 9, 15, 17, 18, 20, 22, 29 

Mean = 144/12 = 12

Median = ( 9 + 15 )/2 = 12

Therefore, the mean of Doctor 1 is 12 and the median is 12.

Doctor 2:

2, 2, 3, 9, 13, 17, 20, 20, 22, 23, 26, 35

Therefore, the mean of Doctor 2 is 16 and the median is 18.5

Mean = 192/12 = 16

Median = ( 17 + 20 )/2 = 18.5