Question

these dot plots show the ages (in years) for a sample of two types of fish. sharks dot - plot image description. koi dot - plot image description. 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. centers: the sharks have a lower median age than the koi. b. spreads: the ages of the sharks are more spread out. c. spreads: the ages of the koi are more spread out. d. centers: the sharks have a greater median age than the koi.

Explanation:

Step1: Find the median for sharks

Count the number of data - points for sharks. There are 15 data - points. The median is the 8th value when the data is ordered. Counting from the left on the dot - plot, the 8th value is around 20.

Step2: Find the median for koi

Count the number of data - points for koi. There are 20 data - points. The median is the average of the 10th and 11th ordered values. Counting from the left on the dot - plot, the 10th and 11th values are around 40. So the median of koi is around 40. Since 20 < 40, sharks have a lower median age than the koi.

Step3: Analyze the spread

The data for sharks is concentrated in the range 10 - 30. The data for koi is spread from around 20 to 90. So the ages of the koi are more spread out.

Answer:

A. Centers: The sharks have a lower median age than the koi.
C. Spreads: The ages of the koi are more spread out.