Question

You took 3 test. Your median score was 80, your mean score was 79, and the range was 17, what were your first 3 test scores ?

Answer 1

80, 70 and 87

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* 3=237\\\\`

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`

Hence, the test scores are 80, 70 and 87