Question

Data was collected on the number of television sets in a household, and it was found that the mean was 3.5 and the standard deviation was 0.75.Based on these sample data, what is the standardized value corresponding to 5 televisions?1.125-2.002.001.5

Answer 1

Answer:

C. 2.00

Explanation:

We have been the mean of television sets in a household is 3.5 and the standard deviation was 0.75.

We will use z-score formula to solve our given problem.

$z=\frac{x-\mu}{\sigma}$, where,

$z=\text{z-score}$,

$x=\text{Sample score}$,

$\mu=\text{Mean}$,

$\sigma=\text{Standard deviation}$.

Substitute the given values:

$z=\frac{5-3.5}{0.75}$

$z=\frac{1.5}{0.75}$

$z=2.00$

Therefore, the standardized value corresponding to 5 televisions would be 2.00 and option C is the correct choice.