Let's look at the answer choices to see what the questions wants us to do with the data
⇒ essentially they compare Carol's mean or median to herself or to
Anna's mean or media
⇒ therefore we should calculate Carol's mean, median and Anna's
mean, median
Before we start calculating, let's define what is the mean and median
- Mean: it is basically the average which is the sum of all numbers in the set divided by the number of numbers in that set
- Median: it is the middle number of the set when the set is ordered from lowest to highest
Let's calculate:
⇒ Carol's data ordered: 20, 30, 45, 60, 70
[tex]Mean = \frac{20+30+45+60+70}{5} = \frac{225}{5}=45\\ \\Median: 45[/tex]
⇒ Anna's data ordered: 30, 35, 45, 60, 65
[tex]Mean = \frac{30+ 35+ 45+ 60+ 65}{5} =\frac{235}{5} =47\\\\Median: 45\\[/tex]
Now using the data, let's compare:
first choice: Carol's mean is equal to her median--> correct
second choice: Carol's mean is not greater than Anna's mean--> incorrect
third choice: Anna's median isnot greater than her mean --> incorrect
fourth choice: Anna's mean is not equal to Carol's mean --> incorrect
Hope that helps!
