Question

These dot plots show the ages (in years) for a sample of sea turtles and a

sample of koi fish.
Age (in years)
What are the differences between the centers and spreads of these
distributions?
Select two choices: one for the centers and one for the spreads.
a A. Centers: The sea turtles have a lower median age than the koi.
3. B. Centers: The sea turtles have a greater median age than the koi.
c. Spreads: The ages of the sea turtles are more spread out.
D D. Spreads: The ages of the koi are more spread out.​

Answer 1

*see attachment below for the dot plots that completes the question.

Answer:

B. Centers: The sea turtles have a greater median age than the koi.

D. Spreads: The ages of the koi are more spread out.

Explanation:

The measure of center that can be used for comparison is the median, while the spread can simply be visualised by mere looking at how spread out the dots on the number line are. The spread of both can also be compared using their range. The greater the range, the more spread a data is.

=>Median Differences:

The median age for turtle = the middle value = 55

The median age for koi = 30

Therefore, sea turtles have a greater median age than the koi.

=>Spread Differences:

Range for turtle = the highest age - the least age represented on the dot plot = 65 - 45 = 20

Range for koi = 55 - 10 = 45

Koi has a greater range value than koi. Therefore, the ages of the koi are more spread out.