Question

A distribution consists of three components with frequencies 200, 250 and 300 having means 25, 10, and 15 and standard deviations 3, 4, and 5 respectively. Calculate

Answer 1

Answer:

16

Step-by-step explanation:

n1 = 200   x1 = 25 (draw dash on top of x)

n2 = 250   x2 = 10

n3 = 300   x3 = 15

Let x is the mean of the combined distrbution then

x = (n1x1 + n2x2 +n3x3)/(n1 + n2 + n3)

(200x25 + 250x10 + 300x15)/ (200+250+300)

(5000 + 2500 + 4500)/750

12000/750

=16

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