Question

Asian Elephants

0 1 2 3 4
6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Height at the shoulder (ft)
African Elephants
OOOOO
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Height at the shoulder (in feet)

These dot plots show the heights (in feet) from a sample of two different types of elephants. What are the differences between the centers and spreads of these distributions? Select two choices: one for the centers and one for the spreads.
- Centers: The center for Asian Elephants' heights is higher.
- Spreads: The spread of African Elephants' heights is wider.

Answer 1

The center for Asian Elephants' heights is higher, while the spread of African Elephants' heights is wider.

Step-by-step explanation:

The centers and spreads of the distributions can be determined by analyzing the dot plots. The center refers to the average or midpoint of the data, while the spread refers to the variability or range of the data.

In this case, the center for Asian Elephants' heights appears to be higher because the majority of the dots are above 10 feet. On the other hand, the center for African Elephants' heights is lower, as most of the dots are below 5 feet. Therefore, the center for Asian Elephants' heights is higher.

Looking at the spread, it can be observed that the dots for African Elephants' heights cover a wider range, from 0 to 20 feet. In contrast, the dots for Asian Elephants' heights are more concentrated around the higher values. Thus, the spread of African Elephants' heights is wider.

Answer 2

The center for Asian Elephants' heights is higher, indicating a greater median height compared to African Elephants. The spread of African Elephants' heights is wider, showing a larger range in heights from the shortest to the tallest elephant.

Step-by-step explanation:

The differences between the centers and spreads of the distributions of Asian and African Elephants' heights from the dot plots can be analyzed by looking at the median and range of the data presented. The center of a distribution reflects the middle value - for dot plots, this is often the median. The spread indicates the range of the data, which can be seen from the smallest to the largest value.

For Asian Elephants, if the center is higher compared to African Elephants, this means that the median value of Asian Elephant heights is greater than that of African Elephants. Considering the spread, if the spread of African Elephants' heights is wider, then the range of this data, from the shortest to the tallest African Elephant, is larger than the range for Asian Elephants.