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:
[tex]a-b=17\\\\\bar x=79=\frac{\sum{x_i}}{3}\\\\\therefore x_i=79\times 3=237\\\\[/tex]
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;
[tex]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[/tex]
Hence, the test scores are 80, 70 and 87
