The list of numbers 41, 35, 30, X, Y, 15 has a median of 25. The mode of the list of numbers is 15. To the nearest whole number, what is the mean of the list?

A.20
B.25
C.26
D.27
E.30​

Respuesta :

Answer:

C) 26

Step-by-step explanation:

41 , 35,30 , X , Y ,15

Number of data's = 6. So, median will be the average of [tex](\dfrac{6}{2})^{th} \ and \ (\dfrac{6}{2}+1)^{th} \ term[/tex] . 3 and 4th term

Median = [tex]\dfrac{30+X}{2}[/tex]

[tex]\dfrac{30+X}{2}=25\\\\[/tex]

30 + X = 25*2

30 + X = 50

       X = 50 - 30

X = 20

Mode is 15

So, Y = 15

41,35,30,20,15,15

[tex]Mean =\dfrac{41+35+30+20+15+15}{6}= \dfrac{156}{6}=26[/tex]

yelp24

Answer: D.27

Step-by-step explanation:

you have to plug in the 25 and 15 then find the mean which would be 26.8 which would round to 27