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

C. 2.00

Step-by-step 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=(x-\mu)/(\sigma)`, where,

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

`x=\text{Sample score}`,

`\mu=\text{Mean}`,

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

Substitute the given values:

`z=(5-3.5)/(0.75)`

`z=(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.