Question

PLEASE HELP! WILL MARK BRAINLIEST! 15 POINTS! The median of the list n, n + 2, n+3, n+5, n+7, n+8, n+11, n+14, n+16, n+19 is 20. What is the mean?

Answer 1

Answer:

21

Step-by-step explanation:

n, n + 2, n+3, n+5, n+7, n+8, n+11, n+14, n+16, n+19

The median is the middle number

There are 10 numbers so the middle is between the 5th and 6th number

n, n + 2, n+3, n+5, n+7,       n+8, n+11, n+14, n+16, n+19

We average those two numbers

(n+7  + n+8)/2 = 20

(2n+15)  / 2 = 20

Multiply by 2

2n+15 = 40

Subtract 15

2n = 25

Divide by 2

n = 25/2

n = 12.5

We want to find the mean, which is add up all the numbers and divide by the number of numbers

(n+ n + 2+ n+3+ n+5+ n+7+ n+8+ n+11+ n+14+ n+16+ n+19)/10

(10n+85)/ 10

n+ 8.5

12.5 + 8.5 = 21