Please help me with this problem!
2 answers:
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Answer:
Between (253400;256600)
Step-by-step explanation:
Data given
reprsent the population mean
represent the population standard deviation
The Chebyshev's Theorem states that for any dataset
- We have at least 75% of all the data within two deviations from the mean.
- We have at least 88.9% of all the data within three deviations from the mean.
- We have at least 93.8% of all the data within four deviations from the mean.
Or in general words "For any set of data (either population or sample) and for any constant k greater than 1, the proportion of the data that must lie within k standard deviations on either side of the mean is at least:
So using this theorem and the part "We have at least 75% of all the data within two deviations from the mean". And using the theorem we have this:
And solving for k we have this:
So then we need the limits between two deviations from the mean in order to have at least 75% of the data will reside.
Lower bound:
Upper bound:
So the final answer would be between (253400;256600)