Question

A normal distribution has a mean of 150 and standard deviation of 4. Find the z-score for a data value of 155

Answer 1

Step-by-step explanation

The question wants us to get the z-score of the data

The z-score is calculated using the formula

`\begin{gathered} z=(x-\mu)/(\sigma) \\ where \\ x=observed\text{ value=155} \\ \mu=mean=150 \\ \sigma=standard\text{ deviation=4} \end{gathered}`

Thus, if we substitute the values, we will have

`\begin{gathered} z=(155-150)/(4)=(5)/(4)=1.25 \\ \\ Z-score=1.25 \end{gathered}`

Thus, the z-score is 1.25