# Lesson 6 Food for Thought Develop Understanding

Sam’s test scores for the term were

### 1.

What is Sam’s mean score?

### 2.

What is Sam’s median score?

### 3.

Aiden’s test scores for the same term were

### 4.

Most grades are calculated using the mean. Do you think this is a fair way to assign grades? Why or why not?

### 5.

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Strong, positive correlation

Moderate, positive correlation

Weak, positive correlation

Weak, negative correlation

Moderate, negative correlation

Strong, negative correlation

No correlation at all

### 6.

How would knowing a data set has a weak correlation help you to interpret the data?

### 7.

How would knowing a data set has a strong correlation help you to interpret the data?

### 8.

A student is considering how to represent the data in the table with a graph. Decide which of the representations would be the best to use, and then make the representation for the data in the table.

Eye Color | Frequency |
---|---|

Brown | |

Blue | |

Green | |

Hazel | |

Amber |

#### a.

Which of the representations would be the best to use?

#### A.

Histogram

#### B.

Bar graph

#### C.

Box Plot

#### D.

Line Plot

#### b.

Make the representation for the data in the table.

### 9.

A student is considering how to represent the data in the table in a visual way. Decide which of the representations would be the best to use, and then make the representation for the data in the table.

High Temperatures (F) | Frequency |
---|---|

#### a.

Which of the representations would be the best to use?

#### A.

Histogram

#### B.

Bar graph

#### C.

Box plot

#### D.

Line plot

#### b.

Make the representation for the data in the table.

### 10.

Use technology to make a box plot for the following test scores.

### 11.

Which measure of central tendency (mean, median, or mode) is the easiest measure to determine when looking at a box plot? Explain.

### 12.

The left whisker is quite long in problem 10. What does that tell you about the data?

### 13.

Students were surveyed and asked how much time they spent on homework for the last week of school. Use technology to create a line plot for the collected data.

Collected data: