To find the mean and median from a set of fictional data, let's follow these steps:
### Step 1: Gather Data
We are provided with a set of fictional data in a table, which contains the following book counts:
- Horror books: 98
- Mystery books: 12
- Fiction books: 26
### Step 2: Calculate the Mean
The mean (average) is found by summing all the values and dividing by the number of values.
Sum of book counts:
[tex]\[ 98 + 12 + 26 = 136 \][/tex]
Number of book categories:
[tex]\[ 3 \][/tex]
Calculate the mean:
[tex]\[ \text{Mean} = \frac{136}{3} \approx 45.3333 \][/tex]
So, the mean number of books is approximately 45.33.
### Step 3: Calculate the Median
The median is the middle value when the numbers are arranged in ascending order. If there is an odd number of observations, the median is the middle number. If there is an even number of observations, the median is the average of the two middle numbers.
First, arrange the book counts in ascending order:
[tex]\[ 12, 26, 98 \][/tex]
Since there are 3 values (an odd number), the median is the middle number:
[tex]\[ \text{Median} = 26 \][/tex]
### Summary
- Mean number of books: 45.33
- Median number of books: 26
Thus, using the given fictional data:
- Mean: Approximately 45.33
- Median: 26
These values provide insights into the average number of books per category and the middle value of the distribution in our given dataset.
