Vicki is correct!
That is because they all took 2/6
so simplified they all took 1/3
Hope this helps ;)
I arranged the numbers to their correct position.
Answer:
80, 70 and 87
Step-by-step explanation:
-Range is mathematically defined as the difference between the largest and smallest data point in a data set.
-Given the mean=79, median=80 and the range is 17.
#let a be the largest score and b be the smallest score:
![a-b=17\\\\\bar x=79=\frac{\sum{x_i}}{3}\\\\\therefore x_i=79\times 3=237\\\\](https://tex.z-dn.net/?f=a-b%3D17%5C%5C%5C%5C%5Cbar%20x%3D79%3D%5Cfrac%7B%5Csum%7Bx_i%7D%7D%7B3%7D%5C%5C%5C%5C%5Ctherefore%20x_i%3D79%5Ctimes%203%3D237%5C%5C%5C%5C)
The sum of the 3 scores is equivalent to the 237.
#we subtract the given median and equate using range to solve for a and b;
![a+b+80=237\\\\a+b=157\ \ \ \ \ \ ...i\\\\a-b=17\ \ \ \ \ \ ...ii\\\\\#from \ ii\\a=17+b\\\\\therefore\\17+b+b=157\\\\2b=140\\\\b=70\\\\a=17+b=17+70=87](https://tex.z-dn.net/?f=a%2Bb%2B80%3D237%5C%5C%5C%5Ca%2Bb%3D157%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20...i%5C%5C%5C%5Ca-b%3D17%5C%20%20%20%5C%20%5C%20%5C%20%5C%20%5C%20...ii%5C%5C%5C%5C%5C%23from%20%5C%20ii%5C%5Ca%3D17%2Bb%5C%5C%5C%5C%5Ctherefore%5C%5C17%2Bb%2Bb%3D157%5C%5C%5C%5C2b%3D140%5C%5C%5C%5Cb%3D70%5C%5C%5C%5Ca%3D17%2Bb%3D17%2B70%3D87)
Hence, the test scores are 80, 70 and 87