Question

Lauren's scores on her math tests were 96, 95, 98, 92, 94, 93, and 97. What score could Lauren get on her next math test so that the mean and median remain the same? Complete the explanation. The score on her next test that would keep her mean and median the same would be Because her mean and median are already another score of this value would not alter the mean or the median.​

Answer 1

Lauren needs to get 95 on her next math test so that the mean and median remain the same

Explanation:

92+93+ 94+ 95+96+97+98 = 665

665/2 =95

mean=95

median=95

x= score could Lauren get on her next math

(665+ x)/8 =95

multiply both sides by 8 to eliminate fraction

665 +x = 760

x=95

So now the median is the same

(95+95)/2=95

shorcut:

with 7 scores 95 is the median(in the middle)

with 8 scores ,we need a number that added to 95 and divided by 2 is still 95 That number is 95