Question

Tillie plays baseball. She tracks the number of home runs hit by her teammates. She also tracks the number of doubles hit by her teammates. The mean number of home runs hit by her teammates is 6, with a deviation of 4. The mean number of doubles hit by her teammates is also 6, with a deviation of 2. Which statement is true?(1 point)
Responses

The spread of the data is the same for both datasets.
The spread of the data is the same for both datasets.

The dataset made up of doubles has a greater spread than the dataset made up of home runs.
The dataset made up of doubles has a greater spread than the dataset made up of home runs.

The spread of the data in each dataset is impossible to compare.
The spread of the data in each dataset is impossible to compare.

The dataset made up of home runs has a greater spread than the dataset made up of doubles.

Answer 1

To compare the spread of the data in each dataset, we can look at the standard deviation of the two datasets.

- For home runs, the standard deviation is 4.
- For doubles, the standard deviation is 2.

Since the standard deviation for home runs (4) is greater than the standard deviation for doubles (2), we can conclude that:

**The dataset made up of home runs has a greater spread than the dataset made up of doubles.**

Therefore, the correct statement is: **The dataset made up of home runs has a greater spread than the dataset made up of doubles.**