## adrenaline_rules 3 years ago Starting with the data values 70 and 100, add three data values to the sample so that the mean is 86, the median is 82, and the mode is 82. Please show all of your work.

1. lgbasallote

have you tried trial and error?

yes it just confuses me a bit more

3. lgbasallote

actually....it's not much of "error"... you know the start is 70 and the last is 100...then there are three blanks in the middle 70 _ _ _ 100 right?

yes

5. lgbasallote

then it says the median is 82...so what do you think should you do?

theoretically, it should look something like 70+82+82+x+100/5= 66.8

7. lgbasallote

exactly

8. lgbasallote

except... it says the mean is 86 so it should be (72 + 82 + 82 + x + 100)/5 = 86

ohh. So, then how do you find that x?

10. lgbasallote

that should be $\frac{70 + 82 + 82 + x + 100}5 = 86$

11. lgbasallote

to solve for x, you should multiply both sides by 5 first

so have 5*86, which comes to 430, and I believe we can subtract the original 334 by 430, right?

13. lgbasallote

right

awesome. That missing number would come to be 96. Thank you!

15. lgbasallote

right