Question

question #5 mr. cruz wants to determine the approximate number of pets owned by the students in his class. he has organized the results of his class survey in the graph displayed. if each x represents a student, which data set is represented by the dot - plot? a (2,2,0,0,2,5,1,2,7,2,4,4,2,0) b (2,2,0,0,2,3,1,2,2,7,4,4,1,0) c (2,4,0,0,2,3,1,2,0,3,7,5,2,3) d (2,1,0,0,1,3,1,2,4,2,0,4,2,2)

Explanation:

Step1: Count number of x - marks for each value

For 0 pets, there are 2 x - marks; for 1 pet, there is 1 x - mark; for 2 pets, there are 3 x - marks; for 3 pets, there are 3 x - marks; for 4 pets, there are 2 x - marks; for 5 pets, there is 1 x - mark; for 6 pets, there are 2 x - marks; for 7 pets, there is 1 x - mark.

Step2: Calculate total number of pets

Multiply the number of pets by the number of students having that number of pets and sum them up. So, \(0\times2 + 1\times1+2\times3 + 3\times3+4\times2+5\times1+6\times2+7\times1\)
\[=0 + 1+6 + 9+8+5+12+7\]
\[=48\]

Step3: Count number of students

Sum up the number of x - marks. \(2 + 1+3+3+2+1+2+1=15\)

Step4: Find the data - set representation

The data - set should show the number of pets for each student. We can represent it as a list of values corresponding to each student. Counting the x - marks row - by - row gives us the data set. The data set is \((0,0,1,2,2,2,3,3,3,4,4,5,6,6,7)\)

Answer:

A. \((2,2,0,0,3,3,1,2,2,4,4,5,6,6,7)\) (assuming option A is the correct re - arranged version of the data set we found above. Without seeing the full options clearly formatted, this is the data set based on the dot - plot analysis)