The weighted arithmetic mean of the four numbers 26. 28. 12 and 4 IS 10.7 if the Weight of the first three numbers are 1,3 and 4, respectively, then find the weight of the fourth
number
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Answered by
8
Answer:
147.75
Step-by-step explanation:
x= weighted mean as given w1=1 ,w2=3 , w3=4 w4=? and n1=26 ,n2=28
x=10 , n3=12 ,n4=4
x =w1n1+w2n2+w3n3+w4n4/n1+n2+n3+n4
10.7 =1(26)+3(28)+4(12)+4(w4) / 26+28+12+4
10.7=158+4w4 / 70
10.7(70)= 158+ 4w4
591=4w4
591 / 4 =w4
w4 =147.75
Answered by
0
Step-by-step explanation:
147.75
Step-by-step explanation:
x= weighted mean as given
w1=1,w2=3, w3=4 w4=? and n1=26,n2=28
x=10,
n3=12,n4=4
x =w1n1+w2n2+w3n3+w4n4/n1+n2+n3+n4
10.7 1(26)+3(28)+4(12)+4(w4) / 26+28+12+4
10.7-158+4w4 / 70
10.7(70) 158+ 4w4
591=4w4
591/4 =w4
w4 =147.75
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