A classroom of n = 10 children has a mean score of 17.200 on a measure of hyperactivity. One new child is added to the class, and the mean hyperactivity score for the resulting classroom including all the children is 18.000. Find the value of the new child's hyperactivity score.
How would I figure this out?
The new n = 11
New score is 18.000
That's about as much as I could figure out.
child-- c
c + 17.20(10) = 18.00(11)
c + 172 = 198
c + 172 -172 = 198 - 172
c = 26
Thank you so much! I had already asked this question before but they never explained to me how they got the 198. I really appreciate.
To find the value of the new child's hyperactivity score, you can use the concept of the mean (average). The mean of a set of numbers is found by adding up all the numbers in the set and then dividing by the total number of numbers.
In this case, you are given that the initial classroom of 10 children has a mean score of 17.200. It means that if you add up the hyperactivity scores of all the children in the classroom and divide by 10, you will get 17.200.
So, the initial total hyperactivity score of the 10 children can be calculated by multiplying the mean score by the number of children: 17.200 x 10 = 172.000.
The new classroom has n = 11 children and a mean score of 18.000. Therefore, you need to find the total hyperactivity score for the new classroom, which can be calculated by multiplying the mean score by the number of children: 18.000 x 11 = 198.000.
Now, you can find the hyperactivity score of the new child by subtracting the initial total score from the new total score: 198.000 - 172.000 = 26.
So, the value of the new child's hyperactivity score is 26.