I WILL GIVE TO CORRECT ANSWER Which statement best describes the mean of the data listed below?
10, 7, 9, 5, 8, 6, 7, 3, 10, 5, 7

The middle value of the ordered data set is 7.

The value that occurs most often in the set is 7.

The difference between the smallest value and the largest value is 7.

The sum of all the data values divided by the number of data values is 7.

The sum of all the data values divided by the number of data values is 7.

Explaination:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The last one

Step-by-step explanation:

We know that the mean is 7, what we are trying to identify is which situation correctly describes how to find the mean.

Define

Mean = Sum of values divided by number of data values

Reasoning

For "The middle value of the ordered data set is 7."

The middle value is known as the median not mean therefore this answer is not correct.

For "The value that occurs most often in the set is 7."

The number that occurs the most is known as the mode not the mean therefore this is not the correct answer

For " The difference between the smallest value and the largest value is 7.

"

The difference between the smallest and largest number is known as the range therefore this answer is not correct.

We're left with "The sum of all the data values divided by the number of data values is 7." which does indeed correctly describe how to find the mean.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9