Question

Given the mean of the following data is 53, find the value of x and y.

Answer 1

Answer:

17 Y - 23 X = 79

X = 18  & Y = 29  ( assumed total 100 People)

Step-by-step explanation:

Group      Mean     Frequency         Mean * Frequency

0-20          10          15                       150

20-40        30         X                        30X

40-60        50         21                       1050

60-80        70         Y                        70Y

80-100       90         17                       1530

                Total      53 + X + Y          2730 + 30X + 70Y

Mean  =  (2730 + 30X + 70Y)/  (53 + X + Y)

=> 53 =   (2730 + 30X + 70Y)/  (53 + X + Y)

=>  2809 + 53X + 53Y = 2730 + 30X + 70Y

=> 17 Y - 23 X = 79

Assumed total People are 100

53 + X + Y = 100

=> Y = 47 - X

17(47 - X) - 23X = 79

=> -40X = 79 - 799

=> X = -720/-40

=> X = 18

Y = 29

Answer 2

Answer:10

Step-by-step explanation:

-4(-17y-5)=-70

Apply the distributive property

68y+20=70y

Subtract 68y from both sides

20=2y

10=y