# Lesson 1 What Is Normal? Develop Understanding

### 1.

Jordan scores a

### 2.

In Jordan’s science class, he scored

### 3.

Rank the data sets below in order of greatest standard deviation to smallest:

### 4.

Robin made it to the swimming finals for her state championship meet. The times in the finals were as follows:

If Robin’s time was a

### 5.

Remember that in statistics,

#### a.

#### b.

### 6.

For the data in number 5, what time would fall one standard deviation above the mean? Three standard deviations below the mean?

For each distribution, identify the properties that match with a normal distribution, and then decide if the normal curve could be used as a model for the distribution and explain why.

### 7.

Normal Properties:

Model with a normal curve? Yes or no?

### 8.

Normal Properties:

Model with a normal curve? Yes or no?

### 9.

Normal Properties:

Model with a normal curve? Yes or no?

### 10.

Normal Properties:

Model with a normal curve? Yes or no?

### 11.

Normal Properties:

Model with a normal curve? Yes or no?

### 12.

Normal Properties:

Model with a normal curve? Yes or no?

### 13.

#### a.

If two normal distributions have the same standard deviation of

#### b.

Draw a sketch of each normal curve.

### 14.

#### a.

If two normal distributions have the same mean of

#### b.

Draw a sketch of each normal curve below.

### 15.

The normal curve given has been labeled out to three standard deviations. Estimate what one standard deviation is for this curve.

Write the inverse of the function in the same format as it is given.

### 16.

### 17.

### 18.

### 19.

Determine if the following functions are inverses by finding