select the correct answer from the drop - down menu.\nthe data set shows the number of cats owned by the…

select the correct answer from the drop - down menu.\nthe data set shows the number of cats owned by the members of taylors basketball team.\n2, 0, 1, 2, 4, 1, 4, 0, 3, 2\nthe value that could best measure the center of this data is

select the correct answer from the drop - down menu.\nthe data set shows the number of cats owned by the members of taylors basketball team.\n2, 0, 1, 2, 4, 1, 4, 0, 3, 2\nthe value that could best measure the center of this data is

Answer

Explanation:

Step1: Arrange data in ascending order

0, 0, 1, 1, 2, 2, 2, 3, 4, 4

Step2: Calculate the median

There are 10 data - points. The median is the average of the 5th and 6th ordered values. $\frac{2 + 2}{2}=2$.

Step3: Calculate the mode

The mode is the value that appears most frequently. The number 2 appears 3 times, more frequently than other numbers. So the mode is 2.

Step4: Calculate the mean

$\text{Mean}=\frac{2 + 0+1 + 2+4 + 1+4 + 0+3 + 2}{10}=\frac{19}{10}=1.9$ The mode and median are both 2. In this case, since the data has some outliers (4) which can affect the mean, the median or mode is a better measure of the center. Among the given options, 2 is the best measure of the center.

Answer:

2