Question

Ace, 6 of diamond, 7 of hearts, 8 of spade, king, joker
Ace of Spades (1 point)
6 of Diamonds (6 points)
7 of Hearts (7 points)
8 of Spades (8 points)
King (13 points)
Joker (19 points)
2. Find the mean of the new data set and put your answer below showing your work.

Answer 1

To find the mean of the given data set, we will first assign point values to each card based on the information provided:

- Ace: 1 point
- 6 of Diamonds: 6 points
- 7 of Hearts: 7 points
- 8 of Spades: 8 points
- King: 13 points
- Joker: 19 points

Now, let's summarize the points for each card:

1. Ace = 1 point
2. 6 of Diamonds = 6 points
3. 7 of Hearts = 7 points
4. 8 of Spades = 8 points
5. King = 13 points
6. Joker = 19 points

Next, we will calculate the total points from our data set:

\[
\text{Total Points} = 1 + 6 + 7 + 8 + 13 + 19
\]

Now we perform the addition step by step:

\[
1 + 6 = 7
\]
\[
7 + 7 = 14
\]
\[
14 + 8 = 22
\]
\[
22 + 13 = 35
\]
\[
35 + 19 = 54
\]

So, the total points are \(54\).

Next, we count the number of items in the data set. There are 6 cards in total:

1. Ace
2. 6 of Diamonds
3. 7 of Hearts
4. 8 of Spades
5. King
6. Joker

Now we calculate the mean by dividing the total points by the number of items:

\[
\text{Mean} = \frac{\text{Total Points}}{\text{Number of Items}} = \frac{54}{6}
\]

Performing the division:

\[
\frac{54}{6} = 9
\]

Thus, the mean of the new data set is \(9\).

Final answer:
\[
\text{Mean} = 9
\]