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Sajjad1994
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It's weighted mean
lalitpotukuchi
what is this formula X= x/(x+2y),Y=y/(x+2y)?

And Why the mean is varying all over the table? (It's not following the formula: \(\frac{(x+y+z)}{3}\) for some reason)

Apt0810
a)Let the weights for Client1 -x,Client 2-y,Client3-z,
Now per the option it is asking whether y=z
So let's take y=z and then recheck it with the data in the table

So let's form two equations from the table
25X+105Y=41.5-Tom

X= x/(x+2y),Y=y/(x+2y)

25X+95Y= 38.5-Melissa
So solving for X&Y, so we get Y=0.3, so it's 30%,X=0.4-> 40%

So now let's check these value for let's suppose Megan so = 14*.4 + 67*
.3= 25.7, so our calculation is right. And hence answer is Yes

b)Yes the median is 27.40(since it's the 5th value among the 9 values)

c)No,the range comes around 5(25-20)

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Hello,
Can someone please help explain the first question? Weighted Average question.
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Gargi7777
Hello,
Can someone please help explain the first question? Weighted Average question.

We are told the final score is a weighted mean of the kilograms lost by the three clients. That means each client’s result is multiplied by a fixed weight, and these weights add up to 1. So:

Final score = (client 1 * x) + (client 2 * y) + (client 3 * z)

The statement says that client 2 and client 3 had equal weighting, meaning y = z. Since x + y + z = 1, that means x = 1 - 2y.

For Susan:
10x + 20y + 35z = 20.5
10(1 - 2y) + 20y + 35y = 20.5
y = 0.3

For Melissa:
25x + 33y + 62z = 38.5
25(1 - 2y) + 33y + 62y = 38.5
y = 0.3

Both give the same y value, which confirms that assuming y = z works perfectly and that the same weighting applies to all trainers.
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