How do I calculate the value of K using Tchebycheff's theorem for this data?

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Homework Help Overview

The discussion revolves around calculating the value of K using Tchebycheff's theorem based on a given set of data points. The original poster presents a list of numbers and mentions an interval of confidence of 89%, expressing confusion about how to derive K from this information.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants question the clarity of the original poster's inquiry, particularly regarding the relationship between K and the 89% confidence interval. There are requests for more context and clarification on the data and its statistical properties.

Discussion Status

The discussion is ongoing, with some participants seeking to clarify the original poster's understanding of Tchebycheff's theorem and its application. There is a recognition of the need for the original poster to provide additional information or context to facilitate further assistance.

Contextual Notes

Participants note that the original poster has not provided any calculations or additional context from their teacher, which may be necessary for a more productive discussion. There is also a mention of potential confusion regarding the relevance of the confidence interval to the calculation of K.

masterchiefo
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Homework Statement


Hello all,

I have a one number stat:

Xi
2
4
5
6
6
8
10

Tchebycheff :
It ask me to find the value of K.

Interval of confidence: 89%

I know 1-1/k2
I have no idea how to calculate the value of K.
Do I have to somehow use the interval of confidence?

I checked my book and notes and there is nothing stating how to calculate K.
I just need to know the formula. Thanks.
 
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masterchiefo said:

Homework Statement


Hello all,

I have a one number stat:

Xi
2
4
5
6
6
8
10

Tchebycheff :
It ask me to find the value of K.

Interval of confidence: 89%

I know 1-1/k2
I have no idea how to calculate the value of K.
Do I have to somehow use the interval of confidence?

I checked my book and notes and there is nothing stating how to calculate K.
I just need to know the formula. Thanks.

(1) Your question makes no sense. 89% confidence interval for what? What do you mean by K?
(2) You are required to show your work before getting any help.
 
Ray Vickson said:
(1) Your question makes no sense. 89% confidence interval for what? What do you mean by K?
(2) You are required to show your work before getting any help.
This is all I have, no other info from teacher.
trust me I would love to show any work...but...I have no idea what is K. or what is the relation with 89% confidence interval. it probably have no relation and its just there to mess with my head.

All I have is this on my paper:
Fill the blank:

Xi
2
4
5
6
6
8
10

Tchebycheff :
Interval of confidence: 89%
K=
 
You titled this "Tychebycheff". Are you saying you do not know what Tchebycheff's theorem is? If so did you try looking it up?

Tchebycheff's theorem says that if X is a random variable with mean \mu and standard deviation \sigma then the probability that |x- \mu|\ge k\sigma is less than or equal to 1/k^2. What are the mean and standard deviation for this data? What are the upper and lower numbers such that 89% of the data is closer to the mean than those?
 

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