List k consists of seven numbers. is the average (arithmetic mean) of the seven numbers negative?
1) four of the seven numbers in list k are negative.
2) the sum of the seven numbers in list k is negative.

Yes, the average (arithmetic mean) of the seven numbers would be negative.

Step-by-step explanation:

We have been given that list K consists of seven numbers. We have been given two cases about list K. We are asked to determine whether the average (arithmetic mean) of the seven numbers negative.

1st case: Four of the seven numbers in list K are negative.

For 1st case, if the sum of 3 positive numbers is greater than sum of four negative numbers, then the average would be positive.

2nd case: The sum of the seven numbers in list K is negative.

We know that average of a data set is sum of all data points of data set divided by number of data points.

Since we have been given that sum of the seven numbers in list K is negative, so a negative number divided by any positive number (in this case 7) would be negative.

Therefore, the average (arithmetic mean) of the seven numbers would be negative.