The box plot summarizes the number of people enrolling in fitness classes each month during one year at the city gym. The mean o
f the data is 163.75, and the mean absolute deviated (MAD) of the data is 65. In January of the next year, 400 people enroll in fitness classes at the gym. How does the MAD change if the data include January’s enrollment? Use the drop-down menus to explain. Click the arrows to choose an answer from each menu. A MAD of 65 means that the monthly enrollment counts were an average of 65 from the (CHOOSE). An enrollment of 400 has a deviated value that is (CHOOSE) the MAD. The data will have (CHOOSE) variability when January’s enrollment is included. This will result in a new MAD that is (CHOOSE) 65.
2 answers:
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Answer:
C. 40
Step-by-step explanation:
Let us say there are x 7's and y 77's.
We have been given that each term in the sum a1+a2+a3+...+an is either 7 or 77 and the sum equals 350. We are asked to find the value of n.
Since the sum of all numbers is 350, so we can represent this information in an equation as:
The only integer solutions for the equation are 10, 20, 30, 40, 50
.
So, there can be these many terms: 10 or 20 or 30 or 40 or 50 .
The given option only contains 40, so 40 would be the answer. For 40 terms to be there, there has to be 39 sevens and 1 seventy-seven.
Let us verify our answer.
Therefore, the total terms (n) could be equal to 40 and option C is the correct choice.