5

Find the weighted mean for the following data Value Frequency 109 6 114 11 117 18 120 11 127 15 134 8 135 5The weighted mean is equal to (Round to the nearest tenth...

Question

Find the weighted mean for the following data Value Frequency 109 6 114 11 117 18 120 11 127 15 134 8 135 5The weighted mean is equal to (Round to the nearest tenth as needed )

Find the weighted mean for the following data Value Frequency 109 6 114 11 117 18 120 11 127 15 134 8 135 5 The weighted mean is equal to (Round to the nearest tenth as needed )



Answers

Find the mean for the following.
$\begin{array}{cc}{\text { Value }} & {\text { Frequency }} \\ \hline 9 & {3} \\ \hline 12 & {5} \\ \hline 15 & {1} \\ {18} & {1}\end{array}$

This question gives you a frequency table and asks you to find the mean of the data the values which all right as x R 469 and 15. And in the frequencies, which all right, it's f of each of those values Air six there, six fours, 163 nines and to fifteens. Now we know from our textbook that the way we find the meaning X bar is gonna be the sum of X times f for each for each data point divided by N and now N is the total number of minutes. It's the sample size, the total number of data points. And that's the same as the sum of F. So I'm gonna write that instead. We'll have that. So what I'm gonna do here at the bottom of the well, first, I'm gonna find X times fr at a column toe a frequency table that that is X times F. So we'll go ahead through each row. Four times six is 24 6 times one is 69 times three is 27 15 times two is 30. No, at a, uh, row at the bottom for the some that we're gonna add up our x Times F column for numerator and r F Column for a denominator and see what we get money out of our F column. Six plus one plus three plus to get 12. So the sum of F is 12 and then we add up our X Times F column. We get 24 plus six was 27 plus 30 and that is 87. So now we know that the sum of X Times F is equal to 87 the some of, uh, f is just able to 12. So that means explore is going to be equal to 87/12 which is equal to 7.25 and that is your final answer.

To answer this question. The first introduced rearrange the numbers either from the lowest to the highest or from the highest to the lowest. Now, let's find the mean. We find the sum off the numbers faced. So we find in the some from 1 to 12 and that s a quote. 1469 And we know the mean or the expert has the formula. This over n and that issue co two 1469 over 12. Now, you know the 12 here is the sample size or the number off numbers we have here, and that is toe, so the mean is equal to one to 2.4167 So this is so I mean, now let's find the median, the median. We know. Okay, let's find a medium. The median will be the mother number in this list. Okay, Now we divide a list into two halves. The first half will be this, and then the second half will be this. So the mother numbers here, that mother number, he is actually to have 11 system 118 to go find the mean off this off these numbers and now, and that will be our median. So I divide by two. And then the median here is 117 Now the mood, the mood is the number with the highest frequency 115 or case two times here and then 118 or case two times. So the mood in this case is 115 and 118 In other ways, the data sets is by Muta.

If we want to find the mean in the South of data, we need to find the soon of all values in the face up and divide this I the total number of values. For example, if we're given this state's up. Both u five 57 42 35 86 52 91 102 to find the sum of all values when you talk about all these values together, so the mean it cools. 45 Cliff 67 Those 42 I was 35. It was 80 cents 52 It's 91 this 102 all divided by Tyson number Follies. Jenna's case is 1234568 We simplify this. We don't 520 spotted by eight and this equals 65 to the mean of this day. Sat is 65

If we want to find the mean of a set of numbers, we must find this song of all values in the date sat and divide deaths by the total number of values. For example, if we're given the status that 59 12 35 37. 45 since they in 77. And we want to find the mean of the status that we would start by our things together, all the values find the new Morita. This would be five plus nine. I was 12 co se five of 37 most 45 with since they 77 we would find that's by the total number of values, which is 12345678 So if we do this so we find the it cools 280 they they, uh, eight. And this is equal to 35 to the mean of this status up is satisfied


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