Question

7.) The mean rate for a satellite television from a sample of households was $51.00 per month,

Answer 1

Answer: 75% of the rate lies in 47 per month and 55 per month.

Step-by-step explanation:

The mean rate for a satellite television from a sample of households was $51.00 per month,  with a standard deviation of $2.00 per month.

According to the Chebychev's Theorem, atleast $(1-\dfrac{1}{k^2})$  % of the data lies within k standard deviation from the mean.

For k=2

$1-\dfrac1{2^2}=1-\dfrac14=\dfrac34=0.75\ or \ 75\%$

Alteast 75% of data lies within 2 standard deviation from mean.

i.e. 51-2(2) per month and 51+2(2) per month

i.e. 47 per month and 55 per month

Hence, 75% of the rate lies in 47 per month and 55 per month.