Respuesta :
Answer:
Atleast, 88.9% of the households have between 2 and 6 televisions.
Step-by-step explanation:
We are given the following in he question:
Sample size, n = 32
Mean, μ = 4
Standard Deviation, σ = 1
Chebychev's Theorem:
- I states that atleast [tex]1 - \dfrac{1}{k^2}[/tex] percent of data lies within k standard deviations for a non normal data.
- For k = 2
[tex]1-\dfrac{1}{2^2} = 0.75[/tex]
Atleast 75% of data lies within 2 standard deviation of mean.
- For k = 3
[tex]1-\dfrac{1}{3^2} = 0.889[/tex]
Atleast 88.9% of data lies within 3 standard deviation of mean.
[tex]2 = \mu - 2\sigma = 4 - 2(1)\\6 = \mu + 2\sigma = 4 +2(1)[/tex]
Thus, we have to find data within two standard deviations.
Atleast, 88.9% of the households have between 2 and 6 televisions.
