To find the mean number of kittens in the litters represented by the line plot, we first need to tally the total number of kittens and the number of litters.
From the line plot:
- There are 3 litters with 3 kittens each: \(3 \times 3 = 9\)
- There are 4 litters with 4 kittens each: \(4 \times 4 = 16\)
- There are 5 litters with 5 kittens each: \(5 \times 5 = 25\)
- There is 1 litter with 6 kittens: \(1 \times 6 = 6\)
Now, we can calculate the total number of kittens across all litters:
\[ 9 + 16 + 25 + 6 = 56 \]
Next, we find the total number of litters:
\[ 3 + 4 + 5 + 1 = 13 \]
Now, we can find the mean number of kittens by dividing the total number of kittens by the total number of litters:
\[ \text{Mean} = \frac{\text{Total number of kittens}}{\text{Total number of litters}} = \frac{56}{13} \approx 4.31 \]
Thus, the mean number of kittens in the litters is approximately 4.31.