We appreciate your visit to A If tex Sigma fm 5k 25 tex and tex Sigma f k 5 tex in a data set what is its mean B In. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure, let's go through the steps one by one.
### Part (A)
We are given:
[tex]\[ \Sigma (fm) = 5k + 25 \][/tex]
[tex]\[ \Sigma f = k + 5 \][/tex]
The mean (μ) in a dataset is given by the formula:
[tex]\[ \mu = \frac{\Sigma (fm)}{\Sigma f} \][/tex]
Substituting the given values into the formula:
[tex]\[ \mu = \frac{5k + 25}{k + 5} \][/tex]
So, the mean of the data is:
[tex]\[ \mu = \frac{5k + 25}{k + 5} \][/tex]
### Part (B)
In a grouped data, we are given the mean ([tex]\(\overline{x}\)[/tex]):
[tex]\[ \overline{x} = 35.5 \][/tex]
and the total number of observations (N):
[tex]\[ N = 14 \][/tex]
The value of [tex]\(\Sigma f\)[/tex] (which typically represents the total frequency) can be found by multiplying the mean by the total number of observations:
[tex]\[ \Sigma f = \overline{x} \times N \][/tex]
Substituting the given values:
[tex]\[ \Sigma f = 35.5 \times 14 \][/tex]
[tex]\[ \Sigma f = 497.0 \][/tex]
So, the value of [tex]\(\Sigma f\)[/tex] is 497.0.
### Part (C)
In a grouped data, [tex]\(\Sigma (fm)\)[/tex] represents the sum of the product of the frequencies and the midpoints of the class intervals. Essentially, it is the weighted sum of the midpoints with the frequencies as weights, which is used in the calculation of the mean. This term helps in determining the average value of the dataset when the data is grouped into intervals, often necessary in statistical analysis.
So summarizing the answers:
(A) The mean of the data is:
[tex]\[ \mu = \frac{5k + 25}{k + 5} \][/tex]
(B) The value of [tex]\(\Sigma f\)[/tex] is:
[tex]\[ \Sigma f = 497.0 \][/tex]
(C) [tex]\(\Sigma (fm)\)[/tex] represents the sum of the product of the frequencies and the midpoints of the class intervals in a grouped data.
### Part (A)
We are given:
[tex]\[ \Sigma (fm) = 5k + 25 \][/tex]
[tex]\[ \Sigma f = k + 5 \][/tex]
The mean (μ) in a dataset is given by the formula:
[tex]\[ \mu = \frac{\Sigma (fm)}{\Sigma f} \][/tex]
Substituting the given values into the formula:
[tex]\[ \mu = \frac{5k + 25}{k + 5} \][/tex]
So, the mean of the data is:
[tex]\[ \mu = \frac{5k + 25}{k + 5} \][/tex]
### Part (B)
In a grouped data, we are given the mean ([tex]\(\overline{x}\)[/tex]):
[tex]\[ \overline{x} = 35.5 \][/tex]
and the total number of observations (N):
[tex]\[ N = 14 \][/tex]
The value of [tex]\(\Sigma f\)[/tex] (which typically represents the total frequency) can be found by multiplying the mean by the total number of observations:
[tex]\[ \Sigma f = \overline{x} \times N \][/tex]
Substituting the given values:
[tex]\[ \Sigma f = 35.5 \times 14 \][/tex]
[tex]\[ \Sigma f = 497.0 \][/tex]
So, the value of [tex]\(\Sigma f\)[/tex] is 497.0.
### Part (C)
In a grouped data, [tex]\(\Sigma (fm)\)[/tex] represents the sum of the product of the frequencies and the midpoints of the class intervals. Essentially, it is the weighted sum of the midpoints with the frequencies as weights, which is used in the calculation of the mean. This term helps in determining the average value of the dataset when the data is grouped into intervals, often necessary in statistical analysis.
So summarizing the answers:
(A) The mean of the data is:
[tex]\[ \mu = \frac{5k + 25}{k + 5} \][/tex]
(B) The value of [tex]\(\Sigma f\)[/tex] is:
[tex]\[ \Sigma f = 497.0 \][/tex]
(C) [tex]\(\Sigma (fm)\)[/tex] represents the sum of the product of the frequencies and the midpoints of the class intervals in a grouped data.
Thanks for taking the time to read A If tex Sigma fm 5k 25 tex and tex Sigma f k 5 tex in a data set what is its mean B In. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
