These dot plots show the ages (in years) for a sample of two types of fish.
Sharks

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0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Koi

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Age (in years)

Complete Question:

These dot plots show the ages (in years) for a sample of two types of fish.

(Check attachment for the dot plots)

What are the differences between the centers and the spreads of these distributions?

Select two choices: one for the centers and one for the spreads.

A. Centers: The sharks have a lower median age than the koi

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

C. Centers: The sharks have a greater median age than the koi.

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

A. Centers: The sharks have a lower median age than the koi

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

Step-by-step Explanation:

Centers of a given data set can be defined by the median of the data set. Also, for spreads, we can virtually ascertain how spread the data are on the dot plot or figure out how large the range value is.

==>Centers of both distributions.

*The median of the data distribution for sharks is between the 7th and 8th dot representing the values of 20. The median is the average of the 7th and 8th value = (20+20) ÷ 2 = 20

*The median value of koi is the 14th value represented by the 14th dot on the dot plot = 40

Therefore, for centers, we can conclude that the sharks have a lower median age than the koi.

==>Spreads of both distributions:

Virtually examining both distributions, we would see that the data points represented by dots on the dot plot for koi are more spread out compared to those of sharks.

The range for sharks = 30 - 10 = 20

The range for koi = 70 - 25 = 45

We can conclude that, the ages of the koi are more spread out.