Customers at a sandwich shop are given a pull-tab card with every purchase, and every card is a winner. Rhianna has received 8 cards, with her winnings of:

Question

$3.00$2.00$4.00$4.00$7.00$4.00$6.00$2.00
What was the mean amount won?

Answer 1

To find the mean amount won by Rhianna, we first need to sum all of her winnings and then divide by the number of cards she has.

Rhianna's winnings are:

\[ 3.00, 2.00, 4.00, 4.00, 7.00, 4.00, 6.00, 2.00 \]

Firstly, we will sum these amounts:

\[ 3.00 + 2.00 + 4.00 + 4.00 + 7.00 + 4.00 + 6.00 + 2.00 \]

Calculating step by step:

• \(3.00 + 2.00 = 5.00\)
• \(5.00 + 4.00 = 9.00\)
• \(9.00 + 4.00 = 13.00\)
• \(13.00 + 7.00 = 20.00\)
• \(20.00 + 4.00 = 24.00\)
• \(24.00 + 6.00 = 30.00\)
• \(30.00 + 2.00 = 32.00\)

Thus, the total winnings sum up to:

\[ 32.00 \]

Now, we calculate the mean by dividing the total winnings by the number of cards, which is 8:

\[ \text{Mean} = \frac{\text{Total winnings}}{\text{Number of cards}} = \frac{32.00}{8} \]

Calculating the mean:

\[ \frac{32.00}{8} = 4.00 \]

Therefore, the mean amount won is:

\[ \boxed{4.00} \]