1 Answer

Chayala · Answer 1 · 2023-09-21T09:06:32+0000

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

$Mean = (20+30+45+60+70)/(5) = (225)/(5)=45\\ \\Median: 45$

⇒ Anna's data ordered: 30, 35, 45, 60, 65

$Mean = (30+ 35+ 45+ 60+ 65)/(5) =(235)/(5) =47\\\\Median: 45\\$

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!

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