To find the mean and median of the dataset provided, we need to follow these steps:
### Data Provided:
The number of books read by each friend is as follows:
- Ben: 0 books
- Ann: 0 books
- Dan: 3 books
- Ellie: 3 books
- Caty: 4 books
### Step-by-Step Solution:
#### 1. Calculate the Mean
The mean (average) is calculated by summing up all the values and then dividing by the number of values.
Sum of books read:
[tex]\[ 0 + 0 + 3 + 3 + 4 = 10 \][/tex]
Number of friends:
[tex]\[ 5 \][/tex]
Mean:
[tex]\[ \text{Mean} = \frac{\text{Sum of books}}{\text{Number of friends}} = \frac{10}{5} = 2.0 \][/tex]
#### 2. Calculate the Median
The median is the middle value in a list when the list is ordered from least to greatest. If the list has an odd number of values, the median is the middle value. If the list has an even number of values, the median is the average of the two middle values.
Ordered list of books read:
[tex]\[ 0, 0, 3, 3, 4 \][/tex]
Since the list has 5 values (an odd number), the median is the middle value.
The middle value (3rd value) in the ordered list is:
[tex]\[ 3 \][/tex]
Median:
[tex]\[ \text{Median} = 3.0 \][/tex]
#### 3. Compare Mean and Median
To determine which of these values is greater, compare:
[tex]\[ \text{Mean} = 2.0 \][/tex]
[tex]\[ \text{Median} = 3.0 \][/tex]
Since the median (3.0) is greater than the mean (2.0), the correct answer is:
[tex]\[ \boxed{\text{A. The median, 3, is greater than the mean, 2.}} \][/tex]
Therefore, the final result is:
A. The median, 3, is greater than the mean, 2.
