# How do I find the range of lengths in this question?

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**The length of a Daschund is normally distributed with a mean of 15 inches, and a standard deviation of 3.5 inches. What range of lengths would occur 75% of the time?**

My main issue is that I don't know how to find the z scores in the context of this question.

**The length of a Daschund is normally distributed with a mean of 15 inches, and a standard deviation of 3.5 inches. What range of lengths would occur 75% of the time?**

My main issue is that I don't know how to find the z scores in the context of this question.

##### 1 Answer

The range would be

#### Explanation:

Looking at the standard normal table below, this corresponds to the

Therefore,

Solving for