Question

Can someone help me quick please ?

Answer 1

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 mean,median

⇒ Carol's data ordered: 20, 30, 45, 60, 70

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

• Anna's mean, median

⇒ 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!